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    Physics A-Level

    Physics A-Level glossary

    2228 key terms for Physics A-Level, A to Z, each linked to the topic pages that use it.

    2228 terms found. Open a term to try a short memory check.

    A

    A-scan
    Displays the amplitude of reflected ultrasound pulses against time or depth on a single axis, producing a one-dimensional trace with peaks corresponding to…AQA, OCR
    Absolute and percentage uncertainties
    Absolute uncertainty carries the same unit as the quantity, while percentage uncertainty is the absolute uncertainty divided by the measured value, multiplied…OCR
    Absolute electric potential
    The work done per unit positive charge in bringing a small positive test charge from infinity to that point, so V = W/Q.AQA
    absolute magnitude
    A logarithmic measure of luminosity shown on the vertical axis, typically spanning roughly –10 at the top to +15 at the bottom, with values increasing…AQA
    absolute motion
    Motion relative to an aether filling space, which provides a preferred frame against which such motion could be measured.AQA
    Absolute scale of temperature
    Also called the thermodynamic scale, it does not depend on property of any particular substance.OCR
    Absolute temperature
    Thermodynamic temperature in kelvin, always converting T to K by adding 273 rather than using degrees Celsius.OCR
    Absolute temperature and mean kinetic energy
    Raising T increases mean molecular kinetic energy, so molecules hit the walls harder and more often.AQA
    Absolute uncertainty
    The value added to and subtracted from a plotted value to give the upper and lower limits of a bar.AQA
    Absolute zero
    The temperature at which pressure would be zero for an ideal gas, found as the intercept on the T-axis when the line is extrapolated to p = 0 (0 K or −273 °C).AQA, OCR
    Absorber
    Material placed between source and detector, such as paper or thin card for alpha, aluminium sheets of varying thickness for beta, and lead sheets for gamma.OCR
    Absorption
    The loss of optical power as light is absorbed by the fibre material or impurities, converting energy to other forms such as thermal energy.AQA
    Absorption and shielding
    Beta particles need a few millimetres of a low-Z absorber like aluminium, as high-Z materials like lead increase bremsstrahlung X-ray production; gamma rays…AQA
    Absorption characteristics
    Absorption of beta and gamma is exponential with thickness, while alpha has a definite range.OCR
    Absorption experiment
    A source is placed near a detector with an absorber between them; counts are recorded with and without the absorber, and the background count is subtracted.AQA
    Absorption of radiation
    Process in which the detected count rate depends on how much material the radiation passes through, so more material absorbs more radiation.AQA
    Acceleration
    The vector rate of change of velocity, produced by a resultant force, and it can be positive or negative relative to a chosen direction.AQA
    Acceleration due to gravity
    The acceleration g of a body in free fall, equal to about 9.81 m s⁻² near the Earth's surface and directed vertically downwards.OCR
    Acceptance angle
    The angle at the entrance face that determines whether an incoming ray can be guided; rays entering too steeply are refracted out through the cladding rather…AQA
    Accommodation
    A change in lens focal length or power, with ciliary muscles relaxing for distant objects and contracting for near objects.AQA
    Accretion
    A process through which supermassive black holes grow over billions of years, alongside mergers, emitting intense radiation from accreting matter.AQA
    Accretion discs and black hole mass
    A quasar is powered by accretion onto a supermassive black hole of roughly 10⁶ to 10¹⁰ solar masses at the centre of a galaxy.AQA
    Accuracy
    Describes how close a measurement is to the true value.OCR
    Accuracy and precision
    Considering accuracy, resolution and zero error, and recording the value with the correct unit and an appropriate number of significant figures.OCR
    Accurate scientific drawing
    Drawing symbols correctly, such as checking the direction of the triangle and the position of the bar when drawing a diode.OCR
    Acoustic impedance
    Echoes return from boundaries where this changes between tissues, and its difference between two media determines the amplitude of the returning echo.AQA, OCR
    Acoustic impedance and reflection
    Echo amplitude depends on the acoustic impedance difference at a boundary, so larger mismatches produce stronger echoes.AQA
    Acoustic impedance mismatch
    A difference between the acoustic impedances Z₁ and Z₂ of two media; a large mismatch gives strong reflection, and if Z₁ = Z₂ the numerator is zero so no…OCR
    Acoustic matching
    The technique of choosing a coupling medium whose acoustic impedance is close to that of the skin, so that ultrasound passes efficiently from the transducer…OCR
    Action at a distance
    Non-contact forces explained by the concept of a field, which acts through empty space without needing a medium.OCR
    Action–reaction pairs
    If body A exerts a force on body B, then B exerts an equal-magnitude force on A in the opposite direction, acting on a different body.AQA, OCR
    Active galactic nuclei
    Extremely luminous objects powered by supermassive black holes accreting matter, of which quasars are an example.AQA
    Activity
    The number of nuclear decays per second, measured in becquerels (Bq).OCR
    Addition and subtraction rule
    For addition and subtraction, combine the absolute uncertainties by adding them, keeping the unit of the quantity.AQA
    Adiabatic
    A process in which no heat enters or leaves, so work done changes internal energy and temperature.AQA
    Adiabatic change
    No heat flows, so pV^γ is constant, where γ = C_p/C_V; the curve is steeper than an isotherm.AQA
    aether
    A hypothesised medium for light, support for which was removed by the null result.AQA
    Age of the universe
    Estimated as t ≈ 1/H under the assumption that H is constant, since d/v = d/(Hd) = 1/H.AQA, OCR
    Age-related deterioration
    Raises thresholds most at high frequencies.AQA
    Air resistance
    A resistive force exerted by the air on any object moving through it, acting opposite to the direction of motion.AQA
    Airy pattern
    The pattern produced when diffraction at the circular aperture spreads each point source.AQA
    Algebraic modelling of collisions
    The conservation equation is written as the sum of initial momenta equals the sum of final momenta, then solved as a linear equation.AQA
    Algebraic rearrangement of equations
    Rearranging an equation such as v = u + at to isolate an unknown before substituting values.OCR
    Algebraic subtraction of scalars
    Because potential is a scalar, the difference is found by simply subtracting the two potential values algebraically.AQA
    Allowed wavelengths
    For a string of length L fixed at both ends, the ends must be nodes, so λ = 2L/n where n is a positive integer.AQA
    Alpha and beta decay
    Alpha emission reduces nucleon number by 4 and charge by 2, beta-minus leaves nucleon number unchanged and increases charge by 1, and beta-plus leaves nucleon…OCR
    Alpha decay
    Emission of an alpha particle (2 protons and 2 neutrons, a helium nucleus), reducing proton number by 2 and nucleon number by 4.AQA, OCR
    Alpha emission
    A helium nucleus is emitted, so the daughter nuclide has Z decreased by 2 and N decreased by 2, with mass number A decreased by 4.AQA
    Alpha particle charge
    A charge of 2e, substituted as q in the energy equation alongside Q = Ze for the nucleus.AQA
    Altitude
    Found by calculating the orbital radius r from r³ = GMT²/(4π²) and then subtracting the planet's radius.AQA
    Amount of substance
    The quantity for which the mole (mol) is the S.I.OCR
    Ampere (A)
    The unit of current, where 1 A = 1 C s⁻¹.OCR
    Amplification
    Increases signal power to overcome attenuation and noise before or after transmission.AQA
    Amplitude
    Obtained by halving the peak-to-peak voltage, which must be distinguished from peak-to-peak voltage when interpreting an oscilloscope trace.OCR
    Amplitude and total energy
    The total energy E = ½kA² = ½mω²A² remains constant, where A is amplitude.OCR
    Amplitude dependence of energy
    The graphs show that total energy is proportional to A².OCR
    Amplitude modulation
    The carrier's amplitude varies at the information frequency while the carrier frequency stays constant, so the envelope of the displayed waveform rises and…AQA
    Amplitude modulation (AM)
    A technique in which the amplitude of the carrier is varied in step with the information signal while its frequency stays constant.AQA
    Amplitude variation
    A progressive wave has the same amplitude at all points, whereas a stationary wave has zero amplitude at nodes and maximum at antinodes.OCR
    Amplitude–driving frequency graph
    A plot of the steady-state amplitude of a forced oscillator against the driving frequency, with one curve for each level of damping.OCR
    Analogue and digital signals
    Digital signals use discrete levels, commonly two voltage levels labelled 0 and 1, whereas analogue signals vary continuously.AQA
    Analogue data collection
    Sensors convert a physical quantity into an electrical signal, usually a voltage, that varies continuously and is therefore analogue.AQA
    Analogue measurement
    Using analogue instruments, such as metre rules, vernier callipers, micrometers, thermometers, ammeters, voltmeters and stopwatches with dials, to record a…OCR
    Analogy between electrical and mechanical systems
    Charge is treated as displacement and current as velocity, so the capacitor's voltage corresponds to the spring's restoring force.AQA
    AND
    A dot means AND, so the output is 1 only when both inputs are 1.AQA
    Angle between field and normal
    The angle θ in Φ = BA cos θ, measured between the field direction and the normal to the surface.OCR
    Angle dependence of Doppler shift
    The measured frequency shift depends on cos θ, so the beam should be as parallel as possible to the flow for maximum sensitivity.OCR
    Angle to the normal
    The angle i is measured from the normal, not the surface.OCR
    Angular acceleration
    Links to linear acceleration at a point by a = rα, allowing rotational and linear dynamics to be combined.AQA
    Angular frequency
    The quantity ω in the solutions, linked to period and frequency by ω = 2πf = 2π/T.AQA, OCR
    Angular frequency and its units
    A quantity with units of rad s⁻¹ that must be checked before substituting into the velocity equation.OCR
    Angular impulse
    The product of torque and the time for which it acts, with units N m s.AQA
    Angular magnification
    The ratio of the angle subtended at the eye by the final image to the angle subtended at the unaided eye by the object, M = β/α.AQA
    Angular measure
    An angle linked to the arc it subtends, where a full circle is 2π rad and a right angle is π ÷ 2 rad.AQA
    Angular momentum
    The product of moment of inertia I and angular velocity ω, so L = Iω, with units kg m² rad s⁻¹ or kg m² s⁻¹.AQA
    Angular resolution
    Given by θ ≈ λ ÷ D in radians, and a larger D produces a smaller θ, meaning finer detail can be resolved.AQA
    Angular separation
    The tiny angle between star and planet, about 0.1 arcsecond at 10 parsecs, which is below the resolution of most telescopes.AQA
    Angular velocity
    A quantity in rad s⁻¹, converted between rev s⁻¹ and rad s⁻¹ using ω = 2πf before substituting into L = Iω.AQA, OCR
    Annihilation
    The process in which a positron and an electron convert the total rest mass into two gamma photons of equal energy, each about 511 keV, emitted in almost…AQA, OCR
    Annihilation energy calculations
    Calculations in which the total rest energy of the particle and antiparticle is converted into the total energy of the photons produced.AQA
    Anode
    The p-type terminal of the Zener diode, which is positive relative to the cathode in forward bias.AQA
    Anomalous
    A description of a point whose status can be judged using error bars.AQA
    Anomaly
    A reading that does not fit the pattern of the other measurements.OCR
    Anti-quark charge reversal
    Anti-quarks carry opposite charge to their corresponding quarks, so anti-up has −2/3 e, anti-down has +1/3 e and anti-strange has +1/3 e.OCR
    Antibaryons
    Particles made from three antiquarks, with the antiproton given as ūūd̄ and the antineutron as ūd̄d̄.AQA
    Antineutrino
    Antiparticle of the neutrino, differing in lepton number rather than by charge.AQA
    Antinode
    A point of maximum displacement, where the waves always reinforce because they arrive in phase.AQA, OCR
    Antiparticle
    For every type of particle there is a corresponding one with the same rest mass but opposite electric charge and opposite quantum numbers such as baryon…AQA, Pearson Edexcel
    Antiparticles
    Each has the same mass as its particle but opposite electric charge and opposite lepton number.AQA
    Antiproton
    Antiparticle of the proton, with charge -1 rather than +1.AQA
    Antiquarks
    Particles that have the opposite sign of every quantum number, so ū has charge −⅔e, d̄ has charge +⅓e and s̄ has charge +⅓e, each with baryon number −⅓.AQA
    Aperture stop
    Reduces spherical aberration, which arises when a spherical mirror brings marginal rays to a different focus from paraxial rays.AQA
    Apparatus selection
    Choosing equipment appropriate to the quantity being measured and the precision required, such as a micrometer, vernier calliper, top-pan balance, ammeter,…OCR
    Apparent forces
    Effects produced in a non-inertial frame that are not caused by physical interactions, such as a loose object appearing to lurch forward.AQA
    Apparent magnitude
    The objective, logarithmic scale astronomers use instead, comparing the intensity of radiation received from a star with a reference value so measurements are…AQA
    Apparent versus absolute magnitude
    Apparent magnitude m describes observed brightness, while absolute magnitude M describes intrinsic luminosity at a standard distance of 10 parsecs.AQA
    Application of W = VIt to real components
    Multiply all three quantities V, I and t together, not just two of them, to find the energy transferred.OCR
    Application outside the body
    The expression applies outside the body, and a uniform sphere behaves as a point mass at its centre for external points.OCR
    Application to sound, light and microwaves
    The principle applies to all wave types, including sound, light and microwaves, and underlies interference patterns.OCR
    Applications in particle physics
    This explains mass spectrometers, cyclotrons and the helical paths of cosmic rays.AQA
    Applications of superconductivity
    Include the production of strong magnetic fields and the reduction of energy loss in transmission of electric power.AQA
    Applying W = VQ and W = EQ
    W = VQ gives the energy transferred when charge Q passes through a potential difference V, and W = EQ gives the energy transferred when charge Q passes…OCR
    Approximation and accuracy in models
    For the model to be accurate, the time interval Δt must be significantly smaller than the half-life.OCR
    Archimedes’ principle and weight of fluid displaced
    The upthrust equals the weight of fluid displaced by the object.OCR
    Area under a force–time graph
    A signed quantity representing impulse; for a constant force it is FΔt, and for a varying force it is found by splitting into strips or counting squares.AQA
    Area under a graph
    For a varying force, split the area into rectangles, triangles or trapezia, or count squares, rather than using a single force value.AQA, OCR
    Area under a graph as a product
    The area between the velocity–time graph and the time axis gives displacement, with areas below the axis counted as negative.AQA
    Area under a graph as work done
    Because the graph is a triangle of base Q and height V, the area is ½QV, which links directly to the energy formulae and explains why the factor ½ appears.OCR
    Area under force–extension graph
    For a material obeying Hooke's law, the stored energy equals this, which for a straight-line region is ½FΔL or ½k(ΔL)².AQA
    Area under graphs
    The area between the line and the time axis gives displacement on a velocity–time graph and velocity change on an acceleration–time graph.OCR
    Assumptions of ideal-gas behaviour
    Ideal-gas molecules are modelled as having no intermolecular potential energy, so no potential term is included in the internal energy.OCR
    Assumptions of kinetic theory
    The volume of the molecules is negligible compared with the container, collisions are perfectly elastic, and intermolecular forces are negligible except…OCR
    Astronomical calculations
    Radian measure is applied in angular resolution and the small-angle approximation θ ≈ λ ÷ D, where θ must be in radians.AQA
    Astronomical distance units
    The parsec is the distance unit used throughout OCR A Level Physics A cosmology, and it can be converted between parsecs, metres and light-years.OCR
    Astronomical unit (AU)
    The average Earth–Sun distance, about 1.50 × 10¹¹ m, convenient for distances within the Solar System.OCR
    Asynchronous output changes
    Combinational outputs can change asynchronously if external inputs change between pulses, even though flip-flop states update only on clock edges.AQA
    Asynchronous reset
    A reset that may clear the counter before the next clock edge, so the decoded state may appear only briefly.AQA
    Atomic and nuclear density
    The mean density of a nucleus is much greater than that of an atom because the mass of an atom is concentrated in a very small nucleus.OCR
    Atomic and nuclear dimensions
    The ratio of atomic diameter to nuclear diameter is about 10⁵, meaning the atom is roughly one hundred thousand times wider than its nucleus.OCR
    Atomic and nuclear structure
    Later work showed the nucleus contains protons and neutrons, and scattering experiments revealed that protons and neutrons are themselves made of quarks.AQA
    Atomic mass unit
    A non-SI unit of mass defined as one twelfth of the mass of a carbon-12 atom in its nuclear and electronic ground state.AQA
    Atomic spacing
    The regular spacing between carbon atoms acts like a diffraction grating for the electron waves and is of the order of 10⁻¹⁰ m.OCR
    Atomic structure
    The atom is mostly empty space, with a tiny central nucleus that is positively charged and contains most of the atom's mass.OCR
    Atomic-resolution surface imaging
    Recorded height or current variations build up a map of the surface at atomic resolution.AQA
    Attenuation
    The loss of intensity with depth from absorption, scattering and reflection, which increases with frequency.AQA
    Attenuation and penetration
    Higher frequency gives finer detail but greater attenuation, limiting penetration; strong reflection occurs at boundaries with large acoustic impedance…AQA
    Attenuation coefficient
    The quantity μ in I = I₀e^(−μx), measured in m⁻¹, where a larger value or a thicker absorber gives a smaller transmitted intensity.AQA
    Attenuation measurements along many paths
    Detectors measure the transmitted intensity after the beam has passed through the body, and comparing this with the incident intensity gives the attenuation…AQA
    Attitude monitoring
    Sensors measure components of Earth's magnetic field along three orthogonal axes, from which the orientation of a vehicle or device relative to the magnetic…AQA
    Attractive force between masses
    Gravitational force is always attractive, so the vector form includes a negative sign.OCR
    Attractive versus attractive-or-repulsive forces
    Masses always attract, but charges may attract or repel.AQA
    Audible sound
    Sound for humans that typically spans 20 Hz to 20 kHz, so ultrasound lies above this range.OCR
    Authority in science
    Newton was held in enormous scientific esteem, and this made his particle model highly influential.AQA
    Automatic and remote monitoring
    Sensors allow automatic, continuous and remote monitoring, which is more practical than manual reading in many experiments.AQA
    Average binding energy per nucleon
    The total binding energy of the nucleus divided by the nucleon number A, measured in MeV per nucleon.AQA
    Average force
    The total momentum transferred to the wall in time Δt divided by Δt, given by F = Δp/Δt.AQA
    Average power
    For a resistor, P = I_rms²R = V_rms²/R = I_rms V_rms.AQA
    Average speed
    Total distance divided by total time, a scalar.OCR
    Average versus instantaneous motion
    Average values use total change divided by total time, whereas instantaneous values describe a single moment.AQA
    Averaging
    Repeating measurements and calculating a mean, which reduces random errors because deviations in opposite directions partially cancel, but does not remove…AQA, OCR
    Avogadro constant
    The number of particles in one mole, NA = 6.02 × 10²³ mol⁻¹, by which the molar gas constant is divided.AQA, OCR
    Axis
    An angle in degrees that identifies the orientation of the cylindrical lens, with its refractive power acting perpendicular to this axis.AQA
    Axis labelling
    Each axis must be labelled with the quantity and its unit, for example 'Time / s' or 'Current / A'.OCR

    B

    B-scan
    Displays the intensity of reflections as brightness on a two-dimensional image, building up a cross-sectional picture by scanning the transducer across the…AQA, OCR
    Background count rate
    A reading measured first with no source and subtracted from all readings in absorption studies.OCR
    Background radiation
    Radiation corrected for by measuring the count rate without the source and subtracting it from readings taken with the source.AQA, OCR
    Background radiation and correction
    Radiation always present, so a background count is recorded with the source removed and then subtracted from each reading.AQA
    Background radiation correction
    Background count rate is measured with the source removed and subtracted from each reading.OCR
    Balance of half-life against patient dose
    The half-life must be long enough to allow production, labelling, administration and imaging, but short enough that activity falls quickly and patient dose…AQA
    Balance of neutron production and absorption
    The moderator, control rods and coolant together balance neutron production and loss so the chain reaction remains controlled.AQA
    Balanced nuclear equation
    An equation for the reaction in which nucleon number and proton number are conserved.AQA
    Balancing
    The total nucleon number and total proton number are equal on both sides of a nuclear transformation equation.OCR
    Band gap and photon energy
    The spectral response peaks where photon energy is just above the band gap, and falls at long wavelength once photons cannot free electrons.AQA
    Bandwidth
    The range of frequencies a channel must carry, limiting how much information can be transmitted.AQA
    Barium
    Usually swallowed as a suspension of barium sulfate, it is used for the gastrointestinal tract because it is dense and effectively insoluble, so it coats the…OCR
    Barium meal
    A technique in which the barium coats the oesophagus, stomach and intestine, and those coated surfaces attenuate the beam far more than soft tissue.AQA
    Barium sulfate
    A heavy, high-atomic-number compound that is chemically inert and not absorbed, so it can be swallowed as a suspension.AQA
    Baryon number
    A bookkeeping property that is +1/3 for every quark and −1/3 for every antiquark, so three quarks give a baryon number of 1.AQA
    Baryon number and strangeness
    Anti-quarks carry opposite baryon number and strangeness to their quarks, and quark composition determines a hadron's baryon number and strangeness.OCR
    Baryon number of antibaryons
    Each antibaryon, such as an antiproton, is assigned a baryon number of −1.AQA
    Baryon number of leptons and mesons
    Both leptons and mesons have baryon number 0.AQA
    Baryons
    Particles made from three quarks, with the proton given as uud and the neutron as udd.AQA, OCR
    Baryons and antibaryons
    Baryons contain three quarks, for example the proton (uud) and neutron (udd); antibaryons contain three antiquarks, for example the antiproton and antineutron.AQA
    Base units
    Each of the seven S.I.AQA, OCR
    Baseline
    The unobscured stellar flux, from which a transit appears as a temporary decrease below it.AQA, OCR
    Basilar membrane
    Movement of this structure bends hair cells in the organ of Corti, generating electrical impulses in the auditory nerve.AQA
    BCD counter
    Counts only from 0000 to 1001 (0 to 9) and then resets, making it suitable for driving decimal displays.AQA
    Beta-minus decay
    A neutron changes into a proton, so Z increases by 1 and N decreases by 1 while A stays constant; an electron and an antineutrino are emitted.AQA, OCR
    Beta-plus decay
    A proton changes into a neutron, so Z decreases by 1 and N increases by 1 while A stays constant; a positron and a neutrino are emitted.AQA, OCR
    Big Bang nucleosynthesis
    In the first minutes, protons and neutrons fused mainly into helium, giving the observed relative abundance of hydrogen and helium.AQA, OCR
    Big Bang theory
    The universe began from an extremely hot, dense state about 1.4 × 10¹⁰ years ago and has been expanding and cooling ever since.OCR
    Binary counter
    Counts in natural binary, so an n-bit counter has 2ⁿ states and recycles after reaching its maximum.AQA
    binary pattern
    An n-bit pattern can represent 2ⁿ distinct values, and can be converted to decimal by summing place values.AQA
    Binary representation
    A sequence of 0s and 1s can encode a number or sample value, with each binary digit corresponding to a power of two.AQA
    Binding and saturation of the strong force
    Because it acts only over short distances, a nucleon interacts only with near neighbours, so the force saturates and cannot easily stabilise a whole large…AQA
    Binding energy
    The energy needed to separate a nucleus into its individual protons and neutrons, or released when the nucleus forms.AQA, OCR
    Binding energy per nucleon
    The binding energy divided by the nucleon number A, measuring how tightly each nucleon is held.OCR
    Binding energy per nucleon against nucleon number curve
    A graph that rises steeply for light nuclei, peaks near iron-56 at about 8.8 MeV per nucleon, then falls slowly for heavy nuclei.OCR
    Binding energy per nucleon comparisons
    Reading the graph means comparing the starting and finishing heights on the vertical axis, since energy is released when the products have a higher average…AQA
    bit
    A binary digit with two possible states, 0 or 1, and the smallest unit of digital information.AQA
    bit depth
    The number of bits per sample; increasing it increases the number of quantisation levels and reduces the step size between adjacent levels.AQA
    Bit rate
    Equals samples per second multiplied by bits per sample, so more levels or a higher sampling frequency increase the data rate.AQA
    Black body
    Absorbs all incident radiation and emits a continuous spectrum whose shape depends only on absolute temperature.AQA
    Black hole
    A region where gravity is so strong that the escape velocity exceeds the speed of light, so nothing, not even light, can escape from inside the event horizon.AQA, OCR
    Black-body modelling of stars
    An estimate that assumes black-body behaviour, which is an approximation since real stellar spectra deviate from a perfect black body.OCR
    Black-body radiation
    Radiation absorbed and emitted across all wavelengths by a black body, with a spectrum depending on temperature.AQA
    Black-body radiation and temperature
    The spectrum of the cosmic microwave background radiation matches that of a black body at about 2.7 K.OCR
    Black-body radiator
    The model assumed for the star, so that the law gives the total power radiated across all wavelengths.AQA
    Block diagram
    Shows the stages as labelled boxes connected by arrows indicating the direction of signal flow.AQA
    Blocking condition
    The wheel rotates by half a tooth spacing during the light's round trip, so returning light meets a tooth.AQA
    Blood flow measurement
    The speed v of the blood can be found using Δf/f = (2v cos θ)/c, where c is the speed of ultrasound in blood.OCR
    Blue shift
    A source moving towards the observer has its wavelength compressed, producing a blue shift.OCR
    Boltzmann constant
    The gas constant per single particle, given by k = R / NA and approximately 1.38 × 10⁻²³ J K⁻¹.AQA, OCR
    Boolean algebra
    Describes logic circuits using variables that take only 0 or 1.AQA
    Boolean expression
    An expression that can be derived or interpreted from a gate network and checked against the final output for consistency.AQA
    Boundary conditions and allowed patterns
    The boundary conditions of the medium, such as fixed ends of a string, determine which stationary wave patterns can form.OCR
    Boundary conditions for stretched strings
    On a stretched string fixed at both ends, boundary conditions dictate that nodes form at the ends.OCR
    Boyle's law
    For a fixed mass of gas at constant temperature, pV = constant, so p is inversely proportional to V and a graph of p against 1/V is a straight line through…AQA
    Brake power
    Output power measured with a dynamometer, given by P = Tω where ω = 2πf.AQA
    Braking distance
    The distance travelled while the brakes are applied, depending on the braking force, the mass of the vehicle and the road conditions.OCR
    Breakdown of classical mechanics at relativistic speeds
    Kinetic energy does not follow the classical formula at relativistic speeds, and the classical prediction diverges from the data at high speed.AQA
    Breaking stress
    The stress at which a material fractures, depending on the material and on flaws, and not the same as the ultimate tensile stress.AQA
    Bremsstrahlung
    Arises from deceleration of electrons in the target nucleus's electric field, producing a continuous range of photon energies.AQA
    Brightness
    A subjective scale of measurement that depends on the observer, viewing conditions and the eye's response, so it is not a reliable scientific quantity.AQA
    Brightness and focus controls
    Adjust the visible spot and affect visibility only, not the voltage or time measurements.AQA
    Brittle
    A material that is stiff and strong but fractures with little plastic strain, so its graph is almost linear to breaking.OCR
    Brittle versus ductile force–extension graphs
    Brittle behaviour means a material fractures with little or no plastic deformation, which is distinct from stiffness, whereas ductile copper shows a large…AQA
    Brownian motion
    The random, jerky movement of small particles such as smoke particles or pollen grains suspended in a fluid, seen as unpredictable zigzag paths under a…AQA, OCR
    byte
    A fixed group of 8 bits, so 1 byte = 8 bits and 1 kB = 8 kbit when using the same prefix convention.AQA

    C

    Calculations involving e
    The charge on ions or charged objects is calculated by multiplying e by the number of excess or deficit electrons.OCR
    Calculations with integer multiples of e
    Using Q = n e, where n is an integer (positive, negative, or zero), and dividing the net charge by e to determine the number of excess or deficit electrons.OCR
    Calibration and compensation
    The sensor must be calibrated and may need temperature compensation to account for temperature, offset and interference.AQA
    Capacitance
    The charge stored per unit potential difference, given by C = Q/V, where Q is the magnitude of charge on one plate and V is the potential difference across…OCR
    Capacitance as charge per unit potential difference
    Capacitance is defined by C = Q/V, the charge stored per unit potential difference.OCR
    Capacitance from gradient
    A graph of V against Q is a straight line through the origin with gradient 1/C.OCR
    Capacitor charging and discharging
    Charging curves rise from zero and approach the supply value asymptotically, while discharging curves fall from their initial values towards zero…AQA, OCR
    Carbon-14 and half-life
    While alive, organisms keep a roughly constant carbon-14 proportion; after death it decays with a half-life of about 5730 years.OCR
    Carrier wave
    A high-frequency sinusoidal oscillation that is transmitted through space and can be modified to carry information.AQA
    Carrier waves and information transfer
    Modulation superimposes information onto a carrier wave.AQA
    Cathode
    The n-type terminal of the Zener diode, marked by a band on the package, and positive relative to the anode in reverse bias.AQA
    Cathode rays
    Emitted electrons accelerated towards the anode, some passing through a hole to form a beam.AQA
    Celsius scale
    Scale defined by the ice point (0 °C) and steam point (100 °C) of water at standard atmospheric pressure.OCR
    Central maximum
    The brightest and widest feature of the pattern, with narrower, fainter secondary maxima on each side separated by minima.AQA
    Central obstruction
    The secondary mirror causes some obstruction of the incoming light.AQA
    Centre of gravity
    The point where the entire weight of the object acts.OCR
    Centre of mass
    The point where the entire mass of an object may be considered to be concentrated.OCR
    Centre-of-mass separation
    The force acts along the line joining the centres of mass, and r is the centre-to-centre distance for uniform spheres.AQA
    Centripetal acceleration
    The acceleration of a body moving in a circle at constant speed, acting towards the centre of the circle and perpendicular to the instantaneous velocity.AQA, OCR
    Centripetal acceleration magnitude and direction
    For a body moving at speed v on a circle of radius r the magnitude is a = v²/r, directed towards the centre.OCR
    Centripetal force
    The magnetic force on a charge moving at right angles to a uniform field is perpendicular to velocity and acts as the centripetal force needed for circular…AQA, OCR
    Centripetal force from a magnetic field
    The magnetic force is always perpendicular to velocity and has constant magnitude Bqv, so it provides the centripetal force.AQA
    Chain reactions
    Because each fission releases more neutrons, these can induce further fissions, giving a self-sustaining chain reaction.AQA, OCR
    Chandrasekhar limit
    The maximum mass a white dwarf can have, approximately 1.4 solar masses, above which degeneracy pressure cannot support the star.AQA, OCR
    Change in angular momentum
    Written as ∆(Iω), which may involve changes in I, ω, or both.AQA
    Change in momentum
    For a constant force, mΔv, equal to the area FΔt under the force–time graph.AQA
    Change in momentum and direction
    The change in momentum is calculated as final momentum minus initial momentum, and the net force is in the same direction as this change.OCR
    Change of +1
    Occurs when a strange quark is removed or an anti-strange quark is created, for example in Λ → p + π⁻.AQA
    Change of phase
    A process such as melting or boiling in which a substance absorbs or releases energy while its temperature stays constant.OCR
    Change of state
    A process in which energy is supplied or removed while the temperature stays constant, changing the potential energy of the particle ensemble.AQA
    Changes of state and constant temperature
    During a change of state the temperature stays constant, so the energy supplied changes the arrangement of particles rather than their kinetic energy.OCR
    Changing flux linkage
    Occurs when the magnetic flux linkage through a circuit changes, inducing an e.m.f.AQA
    Characteristic X-rays
    Arise when an accelerated electron removes an inner-shell electron and an outer-shell electron drops into the vacancy, emitting a photon of energy equal to…AQA
    Characteristic X-rays from shell transitions
    Photons arise from electron transitions between inner atomic shells, giving discrete photon energies equal to shell energy differences.OCR
    Charge and baryon number conservation
    Charge and baryon number are always conserved, so the totals before and after an interaction are equal.AQA
    Charge and electron emission
    Emitted electrons are attracted back to a positive plate, so a positively charged electroscope does not discharge.OCR
    Charge and neutrality
    Protons are positively charged, neutrons have no charge and electrons are negatively charged; in a neutral atom the number of electrons equals the number of…OCR
    Charge and potential difference in capacitors
    The charge Q stored is directly proportional to the potential difference V across it, so the graph is a straight line through the origin.AQA
    Charge and quantum number symmetry
    A particle and its antiparticle have opposite electric charges and opposite signs for quantum numbers such as baryon number, lepton number and strangeness.AQA
    Charge carriers
    Released in greater numbers by thermal energy, so that their number density increases in an ntc thermistor.AQA
    Charge carriers and current direction
    In a metal, electrons drift through the lattice; in an electrolyte, positive and negative ions move in opposite directions, and conventional current direction…AQA
    Charge carriers and scattering
    In a metal, increased lattice vibrations increase electron scattering; in an NTC thermistor, heating releases more charge carriers.AQA
    Charge carriers in electrolytes
    Positive and negative ions, which move in opposite directions under the applied field.OCR
    Charge carriers in metals
    Delocalised electrons, while the positive metal ions form a fixed lattice and do not translate.OCR
    Charge from quark content
    Anti-quarks carry opposite charge to their quarks, and quark composition determines the hadron's charge, so these properties can be deduced from the quark…OCR
    Charge neutrality
    Bulk matter is almost exactly this, so the much weaker gravitational attraction accumulates without cancellation and gravity dominates on astronomical scales.AQA
    Charge-carrier release in semiconductors
    Increasing temperature releases more charge carriers (electrons and holes) across the small energy gap, so the number density n rises sharply.OCR
    Charging
    Electrons flow from the negative terminal of the supply onto one plate, while electrons leave the opposite plate towards the positive terminal.OCR
    Charging circuit
    In a charging circuit, τ is the time to reach (1 − 1/e) (about 63%) of the final value.OCR
    Charging time constant
    The time to reach 1 − 1/e of the final value, about 63%.AQA
    Chemical form and labelling
    Technetium-99m is eluted as sodium pertechnetate with saline and can be labelled to many pharmaceuticals.AQA
    Chemical labelling and organ specificity
    The isotope must be capable of being chemically bound to a compound that has an affinity for the organ of interest, so the tracer accumulates at the target…AQA
    Choice of axis
    The same object can have different moments of inertia about different axes, so the axis of rotation must always be stated.AQA
    Choice of measuring instruments
    A micrometer measures the diameter d, a metre rule measures L, an ammeter in series measures I and a voltmeter in parallel measures V.OCR
    Choice of radiation source
    Beta from a suitable source is used for thin sheets such as paper and aluminium foil, while gamma is used for thicker or denser steel.AQA
    Choice of suitable isotope
    A source such as protactinium-234 is used because it has a conveniently short half-life.OCR
    Choosing appropriate units for large distances
    Selecting the unit that keeps numbers manageable and stating it clearly.OCR
    Choosing axes to simplify a problem
    On an inclined plane, choose axes parallel and perpendicular to the slope rather than horizontal and vertical.AQA
    Chromatic aberration
    Arises in refractors because the focal length of a lens depends on wavelength, so different colours focus at different points.AQA
    Circuit analysis
    Analysing circuits with components in both series and parallel requires applying Kirchhoff’s laws and the rules for total resistance.OCR
    Circuit application
    A simple regulator in which a series resistor drops the difference between the input voltage and the Zener voltage while the Zener holds the output at its…AQA
    Circuit construction and meter placement
    The ammeter is connected in series with the wire and the voltmeter in parallel across the measured length of wire.AQA
    Circuit design for measurement
    Connect the component in series with an ammeter and a variable d.c.OCR
    Circuit diagram interpretation
    Reading a diagram that uses standard symbols joined by straight lines to show how components are connected, identifying series and parallel branches and the…OCR
    Circuit equations and algebraic rearrangement
    Substituting V = IR into E = I(R + r) gives E = V + Ir, and rearranging gives r = (E − V)/I.OCR
    Circuit setup for capacitor investigations
    The capacitor, resistor and switch are connected in series with a suitable supply, and either the current through the circuit or the potential difference…OCR
    Circuit symbols and component recognition
    Reading the diagram to identify each component and its symbol, then matching each symbol to the correct physical component.OCR
    Circular motion and centripetal force
    The magnetic force provides the centripetal force, so BQv = mv²/r and r = mv/(BQ).AQA
    Circular motion of charged particles
    A particle moving perpendicular to a uniform magnetic field follows a circular path of radius r given by Bqv = mv²/r.AQA
    Circular orbital motion
    A planet moving around the Sun follows a curved path, so it must have a centripetal acceleration directed towards the Sun.OCR
    Classical Galilean velocity addition
    The classical view in which velocities simply add together as vectors, contradicted by the invariance of the speed of light.AQA
    Classification of fundamental and composite particles
    The statement is about baryons only, so it does not claim that leptons or mesons are stable.AQA
    Classification of physical quantities
    Deciding whether a quantity is scalar or vector by stating whether direction is needed to define it.OCR
    Classification of waves
    Requires both the direction of displacement and the direction of energy propagation to be stated and compared, not just one of them.AQA
    Clinical diagnosis from count maps
    Diagnosis depends on comparing the pattern of uptake with normal expectations, and the clinician may quantify counts in regions of interest.OCR
    Clinical suitability and practical constraints
    Practical factors such as cost, portability, availability, scan time and patient comfort or safety, related to a specific clinical purpose.AQA
    Clinical workflow and data storage
    There is no film to load, process, handle or archive physically, so workflow is faster and storage is compact, and electronic images can be shared across…AQA
    Clock
    The continuous square-wave signal whose active edge triggers each state change; without it the circuit holds its current state.AQA
    Clock pulses
    Supplied by the astable as an oscillator to advance a sequential logic circuit.AQA
    Clock rate
    The number of pulses each second, measured in hertz, where f = 1/T.AQA
    Clock-edge triggering
    Flip-flop states update on clock edges, so Q changes only on the active clock edge rather than immediately with its input.AQA
    Closed system
    One in which no energy enters or leaves, so the sum of all energy stores is constant.AQA
    Closed-triangle method
    Drawing the forces tip-to-tail so that if they form a closed triangle, the resultant is zero.AQA
    Closest approach
    The point at which all the alpha particle's initial kinetic energy has become electrostatic potential energy, allowing an estimate of the distance and hence…AQA
    Coalescence and explosions
    Bodies may separate in collisions, move together with a common final velocity in coalescence, or have initial total momentum of zero in explosions.AQA
    Coefficient of performance
    A measure of useful energy transfer per unit work input, given by Q_C/W for a refrigerator and Q_H/W for a heat pump.AQA
    Coherence
    Waves have a constant phase difference and the same frequency, which is needed for a stable interference pattern.AQA, OCR
    Coherent
    Describes sources that emit waves with a constant phase difference, as the two slits do in Young's experiment.AQA
    Coherent fibre bundle
    Keeps the same relative positions of fibres at both ends, so each fibre carries one pixel of the image and the pattern is preserved.AQA
    Coherent monochromatic sources
    A laser emits monochromatic light of a single wavelength and coherent light with a constant phase difference, so the pattern remains stable.AQA
    Coherent SI units in calculation
    When a quantity is calculated, its unit follows from the defining equation, for example C = A s from Q = I t.AQA
    Coherent sources
    Sources that emit waves of the same frequency with a constant phase difference, so their superposition is stable in time.AQA
    Coincidence detection
    Two detectors on opposite sides of a ring surrounding the patient register photons within a very short coincidence time window, so the annihilation event is…OCR
    Collecting power
    Proportional to the area of the objective, so it is proportional to D², and a larger diameter gathers more radiation per second.AQA
    Collecting power and aperture area
    The collecting power of either telescope increases with the area of the dish or mirror, so a larger aperture gathers more radiation per second.AQA
    Collimator
    A thick lead block pierced by many narrow parallel channels that absorbs oblique gamma photons so only near-parallel photons reach the crystal.AQA, OCR
    Collision analysis
    Masses and velocities before and after are measured so that total momentum can be calculated and conservation tested.OCR
    Collisions and resultant forces
    Unequal collisions between the suspended particle and fast-moving fluid molecules produce a fluctuating resultant force on the particle.AQA
    Collisions, decays and annihilation processes
    Interactions in which the total energy and the total momentum of the system remain constant, whether a collision, decay or annihilation.AQA
    Combination of absolute and percentage uncertainties
    When a quantity is calculated from several measurements, their uncertainties must be combined using the rule that matches the arithmetic.AQA
    Combinational circuit construction
    Gates are combined by connecting the output of one to the input of another to form larger circuits.AQA
    Combinational gates
    Gates that respond only to their present inputs and are not assumed to depend on past inputs.AQA
    Combining components to find resultant velocity
    The components at any instant are combined to find the resultant velocity, using Pythagoras' theorem for the magnitude.AQA
    Combining gravitational, viscous and electric forces
    When the droplet is held stationary, the electric force balances the weight, giving QV/d = mg, which rearranges to QV = mgd.AQA
    Combining uncertainties in calculations
    Adding absolute uncertainties for sums and differences, and adding percentage uncertainties for products and quotients.OCR
    Comet
    A small icy body, often on a highly eccentric orbit, that develops a coma and tail when heated near the Sun.OCR
    Common time of flight
    The time is common to both directions and can be used to link horizontal and vertical calculations.AQA
    Communication of assumptions and uncertainty
    Stating the assumptions made, such as treating a room as a rectangular box, and commenting on whether the estimate is likely to be too high or too low.AQA
    Comparison of nuclear and atomic sizes
    Nuclear radii are about 10⁻⁵ to 10⁻⁴ times atomic radii, which are about 10⁻¹⁰ m.AQA
    Comparison of proton and electron properties
    The electron has a much larger specific charge than the proton because the electron has a far smaller mass.AQA
    Comparison of transmission media
    Weighing media such as copper, optical fibre, and wireless against each other in terms of data transmission rate, cost, and security.AQA
    Comparison with a photodetector
    The eye has a narrow spectral range and a logarithmic response to intensity.AQA
    Comparison with bar magnet field
    Outside a solenoid the field pattern resembles that of a bar magnet.OCR
    Comparison with X-ray, CT and MRI
    Advantages over X-rays and CT include no ionising radiation, real-time moving images, low cost and portability; disadvantages include poorer resolution than…AQA
    Component identification
    Being asked to identify a symbol, match a symbol to its name, or spot an incorrectly drawn symbol in a multiple-choice question.OCR
    Component polarity
    The correct orientation of cells and diodes, with the long line as the positive terminal and the diode's triangle pointing in the direction of conventional…OCR
    Component protection
    Keep the current small with a protective resistor, and avoid overheating the component by switching off between readings.OCR
    Composition of the universe
    The universe is made up of dark energy, dark matter, and a small percentage of ordinary matter.OCR
    Compressions and rarefactions
    The regions of high and low particle density in a longitudinal wave, where particles are close together and spread apart.AQA, OCR
    Compressive deformation
    Occurs when forces squash the material, producing a compression, which is a decrease in length.OCR
    Compton effect
    A photon scatters off a loosely bound or free electron, transferring some energy and producing a recoil electron and a lower-energy scattered photon.OCR
    Computer
    Compares pulse heights across tubes to calculate the interaction position, building a two-dimensional image of tracer distribution.OCR
    Computer modelling
    Using ICT to simulate a physical system, for example projectile motion, to investigate how changing a variable affects the outcome.OCR
    Computer reconstruction of attenuation data
    Computer software reconstructs the attenuation data into a cross-sectional image, combining many projections from different angles.OCR
    Computer reconstruction of cross-sectional images
    A computer processes the large set of path attenuation values, using reconstruction mathematics, to calculate the attenuation at each point in the slice and…AQA
    Concurrent forces
    Forces whose lines of action meet at a single point, as required for three coplanar forces to be in equilibrium.OCR
    Conditions for floating and sinking
    An object floats when upthrust balances its weight.OCR
    Conductors, semiconductors and insulators
    Conductors have a very high number density of charge carriers, insulators a very low one, and semiconductors an intermediate value.OCR
    Cone cells
    Detect colour and detail in brighter light, dominating at high intensity and peaking near 555 nm.AQA
    Consequences for simultaneity, time and length
    The postulates lead to time dilation, length contraction and the relativity of simultaneity.AQA
    Conservation laws
    Lepton number conservation is used alongside conservation of charge, baryon number and energy to test whether a proposed reaction is allowed.AQA
    Conservation laws at vertices
    At each vertex, charge, baryon number and lepton number are conserved, and the diagram must be consistent with these conservation rules.AQA
    Conservation laws in particle decays
    Charge, baryon number and lepton number are each conserved, with the electron having lepton number +1 and the antineutrino having lepton number −1.AQA
    Conservation laws in particle interactions
    Conservation of charge, energy and momentum are used to check whether a proposed particle reaction is possible.AQA, OCR
    Conservation laws in particle physics
    Particle interactions must satisfy conservation laws, and comparing totals decides whether a proposed interaction is allowed or forbidden.AQA
    Conservation of angular momentum
    If the resultant external torque on a system is zero, its total angular momentum remains constant, so I₁ω₁ = I₂ω₂.AQA
    Conservation of baryon number
    In any particle interaction or decay, the total baryon number before must equal the total baryon number after.AQA
    Conservation of charge
    Charge is conserved overall, for example the down quark charge of −1⁄3 changes to an up quark charge of +2⁄3 with the electron carrying away −1.AQA, OCR
    Conservation of charge in parallel
    The total charge stored is the sum of the charges on the individual capacitors.OCR
    Conservation of charge in series
    Each capacitor in series stores the same magnitude of charge.OCR
    Conservation of energy
    Each charge carrier that completes the circuit transfers energy from the source to the components, and the sum of potential differences around any closed loop…AQA, OCR
    Conservation of energy in electrical circuits
    Charge returning to its starting point must have the same total energy, so energy gained from sources equals energy lost in components.OCR
    Conservation of energy in mechanical systems
    The total energy in a closed system stays constant: energy may transfer between stores but is never created or destroyed.AQA
    Conservation of energy in photon absorption
    The photon energy is used partly to escape the surface and the remainder becomes kinetic energy, for a single one-to-one photon-electron interaction.OCR
    Conservation of energy in photon–electron collisions
    The maximum kinetic energy is the photon energy minus the work function: Ek(max) = hf − φ.AQA
    Conservation of energy in simple harmonic motion
    In an undamped simple harmonic oscillator, total energy is conserved while kinetic and potential energy interchange continuously.OCR
    Conservation of energy including rest energy
    The total energy of the system remains constant in any interaction, and this includes rest energy, so a decrease in rest mass appears as an increase in…AQA
    Conservation of kinetic energy in elastic collisions
    Applied with conservation of momentum to a head-on elastic collision between a neutron and a stationary nucleus.AQA
    Conservation of lepton number
    Lepton number is conserved, with the electron and antineutrino balancing lepton number in β⁻ decay and the positron and neutrino balancing it in β⁺ decay.AQA, OCR
    Conservation of linear momentum
    In a closed system with no resultant external force, total momentum before an interaction equals total momentum after it.AQA
    Conservation of momentum
    The wall and a molecule are treated as an isolated system during the collision, so total momentum is conserved.AQA, OCR
    Conservation of momentum as a vector quantity
    The total momentum of the system remains constant in any interaction, and because momentum is a vector you must consider direction as well as magnitude.AQA
    Conservation of momentum in collisions
    Applied with conservation of kinetic energy to a head-on elastic collision between a neutron and a stationary nucleus.AQA
    Conservation of nucleon number
    The total nucleon number must be the same on both sides of a decay equation, so equations must balance nucleon number.AQA, OCR
    Conservation of strangeness
    In strong and electromagnetic interactions strangeness is conserved, but the weak interaction can change the strangeness of an individual quark.AQA
    Conservation of total energy
    Adding the two curves at every displacement gives a horizontal straight line at the constant total energy ½mω²A².OCR
    Conservative field
    A field where the work done depends only on the initial and final potentials, not on the path taken.AQA
    Consistency of sign conventions in circuit analysis
    Circuit analysis, Kirchhoff's laws and most equations such as I = ΔQ/Δt assume positive charge flow, so signs must be handled consistently.OCR
    Consistency of units and signs
    Velocities opposite to the chosen positive direction are negative, and masses and velocities are substituted with consistent units.AQA
    Consistency of units in thermodynamic calculations
    Units are handled consistently, for example pressure in Pa and volume in m³ giving work in J.AQA
    Constant acceleration
    Constant force produces constant acceleration, so the suvat equations apply.OCR
    Constant acceleration equations
    Four equations link initial velocity u, final velocity v, acceleration a, displacement s and time t for constant acceleration in a straight line, and each…OCR
    Constant acceleration perpendicular to that direction
    The vertical velocity component changes at a steady rate because the acceleration is constant and perpendicular to the horizontal direction.OCR
    Constant acceleration under gravity
    Vertically the only force is weight, giving constant downward acceleration g, so vertical velocity changes steadily.OCR
    Constant and changing velocity
    A straight line shows constant velocity, a horizontal line shows zero velocity, and a curve shows changing velocity.OCR
    Constant mass
    The condition under which Newton's second law becomes F = ma, so the momentum form is needed when mass changes.AQA
    Constant nuclear density
    Nuclear volume is proportional to A, so nuclear density is roughly constant for all nuclei.AQA
    Constant physical conditions
    The requirement that conditions such as temperature stay unchanged for Ohm's law to apply.AQA
    Constant speed in circular motion
    The object travels in a circular path at constant speed because the force does no work on it.OCR
    Constant speed under a perpendicular force
    Speed remains constant in the circular orbit because the magnetic force is perpendicular to velocity, so it changes direction only and does no work.OCR
    Constant temperature during phase change
    The temperature of the substance remains constant because the average random kinetic energy of the particles does not change.OCR
    Constant velocity
    Motion that is equally valid as equilibrium, because zero resultant force means zero acceleration.AQA
    Constant velocity in one direction
    The horizontal component of velocity is unchanged because there is no horizontal resultant force.OCR
    Constant velocity when resultant force is zero
    Horizontally there is no resultant force, so horizontal velocity stays constant and horizontal displacement is velocity × time.OCR
    Constant-mass reduction to F = ma
    For constant mass, Δp = mΔv, so F = Δp/Δt reduces to F = ma.OCR
    Constant-ratio property
    For equal time intervals, the ratio of the quantity at the end of the interval to that at the start is constant.OCR
    Constructive and destructive superposition
    Constructive superposition occurs when displacements are in the same direction, producing a larger resultant amplitude, while destructive superposition occurs…OCR
    Constructive interference
    Gives maximum amplitude when the waves arrive in phase, with phase difference zero or a whole number of cycles and path difference zero or a whole number of…AQA, OCR
    Constructive interference condition for multiple slits
    Maxima are produced when the path difference between light from adjacent slits equals a whole number of wavelengths.OCR
    Constructive superposition
    A path difference of a whole number of wavelengths gives this, producing bright fringes.AQA, OCR
    Contact time
    Increasing it decreases the average force for a fixed momentum change, and decreasing it increases the average force.AQA
    Continuous spectrum
    Contains all wavelengths of visible light and appears as an unbroken band of colour, produced by a hot dense source.AQA, OCR
    Contrast
    A star can be 10⁹ times brighter than a reflected-light planet, so the planet's faint signal is swamped.AQA
    Contrast enhancement
    Introducing a material with much higher attenuation than the surrounding tissue where neighbouring soft tissues attenuate almost equally.AQA
    Contrast from differences in tissue attenuation
    Dense tissue such as bone attenuates more than soft tissue, so contrast appears in the image.AQA
    Contrast medium
    A substance introduced into the body to increase absorption in the region of interest.OCR
    Control of beam intensity and photon energy
    Tube current controls beam intensity, while tube voltage controls photon energy, since increasing V increases hf_max = eV.AQA
    Control of variables
    Keep temperature constant in the Boyle's law experiment and pressure constant in the Charles's law experiment; use a fixed mass of gas and avoid leaks.AQA
    Control of variables in a practical investigation
    One quantity is varied at a time, keeping the wire perpendicular to the field, in the same region of field, and avoiding heating effects by limiting current.AQA
    Control rods
    Components that absorb neutrons strongly to regulate the rate of fission, needing a high neutron absorption cross-section and the ability to be inserted and…AQA, OCR
    Convenience
    Patient experience and clinical practicality, covering scan duration, need for stillness, portability, invasiveness and availability.AQA
    Conventional current
    The direction in which positive charge would flow, from the positive terminal of a source, through the external circuit, to the negative terminal.OCR
    Conventional current versus electron flow
    The second finger must point along conventional current, which is opposite to electron flow.OCR
    Convergence
    Several rods connect onto one neurone, so their signals are pooled and acuity is lower.AQA
    Conversion between degrees and radians
    Degrees are changed to radians by multiplying by π ÷ 180, and radians to degrees by multiplying by 180 ÷ π.AQA
    Conversion between joules and electronvolts
    Multiply eV by 1.60 × 10⁻¹⁹ to get joules, or divide joules by 1.60 × 10⁻¹⁹ to get eV.OCR
    conversion between kW h and joules
    Since 1 kW = 1000 W and 1 h = 3600 s, 1 kW h = 1000 × 3600 = 3.6 × 10⁶ J.OCR
    Conversion between moles and number of particles
    The number of particles N in a sample is N = nN_A, and the number of moles is n = N/N_A.OCR
    Conversion between temperature scales
    To convert from Celsius to kelvin, add 273 (approximately); to convert from kelvin to Celsius, subtract 273 (approximately).OCR
    conversion factor
    The value 1 u = 931.5 MeV, which links the atomic mass unit to energy via Einstein's mass–energy equivalence, E = mc².AQA
    Convex secondary mirror
    Placed before the primary focus, it reflects the converging beam back through a hole in the centre of the primary mirror.AQA
    Coolant
    A substance that transfers thermal energy efficiently from the core to a heat exchanger, remains stable at high temperature and ideally has low neutron…AQA
    Coplanar forces at a point
    For two coplanar forces, equilibrium requires equal magnitudes acting in exactly opposite directions along the same line.AQA
    Cornea
    Provides most of the fixed refraction, contributing the greater fixed convergence, while the lens provides variable fine adjustment.AQA
    Coronagraphs
    Techniques that reduce these problems, though direct imaging remains hardest for small, close-in planets.AQA
    Corpuscles
    Tiny particles that Newton pictured light as, travelling in straight lines.AQA
    Correct connection
    Connecting a multimeter in series to measure current and in parallel to measure potential difference.OCR
    Correct measurement technique
    Using instruments correctly, including zeroing a balance, checking for zero error, reading a meniscus at eye level to avoid parallax, and choosing a suitable…OCR
    Corrected count rate
    The count rate after background count rate has been subtracted, plotted against absorber thickness to show absorption.AQA, OCR
    Cosine and sine rules for non-perpendicular vectors
    For non-right-angled triangles, the cosine rule gives the resultant magnitude and the sine rule gives an angle.OCR
    Cosine form
    The solution x = A cos(ωt), which starts at maximum displacement when t = 0.OCR
    Cosine variation with angle
    The amplitude of the induced AC voltage is directly proportional to the maximum flux linkage at that angle, demonstrating the cosine relationship.AQA
    Cosmic microwave background
    Radiation released at recombination, when electrons and nuclei combined into neutral atoms so radiation could travel freely, now cooled to about 2.7 K.OCR
    Cosmic microwave background radiation
    A faint, almost perfectly uniform microwave signal coming from every direction in space, with a black-body spectrum at about 2.7 K.OCR
    Cosmological microwave background radiation
    Thermal radiation at about 2.7 K filling all space, relic radiation from when the early Universe became transparent.AQA
    Cosmological principle
    On sufficiently large scales, the universe is homogeneous and isotropic, and the laws of physics are universal.OCR
    Cosmological redshift
    Large redshifts indicate recession and therefore distance in an expanding Universe, and are used to infer quasar distances.AQA, OCR
    Cost
    Equipment purchase, installation shielding, running and maintenance, and staff training, not just the scanner price.AQA
    cost calculation
    Total cost is found by multiplying energy in kW h by the unit price.OCR
    Cost of installation and maintenance
    The expense of setting up and upkeeping a medium, which must be weighed against its other advantages.AQA
    Coulomb potential energy expression
    E = kQq/r, with k = 1/(4πε₀), equated to ½mv² to estimate the distance of closest approach.AQA
    Coulomb's law for point charges
    For a point charge Q, the force on q is F = kQq/r², where k = 1/(4πε₀).AQA
    Couple
    A pair of equal forces acting in opposite directions along different lines of action, so their resultant force is zero but they still rotate an object.AQA, OCR
    Coupling gel
    Needed in scanning because at a soft-tissue–air boundary Z₂ is much smaller than Z₁, so the fraction reflected is close to 1; the gel improves transmission.AQA, OCR
    Coupling gel in ultrasound scanning
    A special gel applied between the transducer and the skin that has an acoustic impedance similar to that of soft tissue, reducing the impedance mismatch at…OCR
    Critical
    The reactor is kept in this state when on average one neutron per fission causes another fission.OCR
    Critical angle
    Related to the refractive indices by sin C = n₂ / n₁, where n₁ is the core index and n₂ is the cladding index, and n₁ must exceed n₂ for guidance to be…AQA, OCR
    Critical angle and refractive index
    The critical angle C is given by sin C = n_cladding / n_core, where n_core > n_cladding.AQA
    Critical damping
    Returns the system to its equilibrium position in the shortest time without overshoot, and is the boundary between oscillatory and non-oscillatory behaviour.AQA, OCR
    Critical temperature
    A temperature which depends on the material, at and below which certain materials have zero resistivity.AQA
    Cross-sectional imaging and display
    The result is a two-dimensional map of attenuation, displayed on a monitor for interpretation by a radiologist.OCR
    Crossed electric and magnetic fields
    A region occupied by both electric and magnetic fields, through which a charged particle moves in a velocity selector.OCR
    Crumple zones
    Safety features that extend collision time, reducing the average force for the same momentum change.AQA
    Cube-root dependence of radius on nucleon number
    The radius grows as the cube root of the nucleon number A, following R ≈ 1.2 × 10⁻¹⁵ m × A^(1/3).AQA
    Current
    The rate of flow of charged particles, given by I = ΔQ/Δt and measured in amperes where 1 A = 1 C s⁻¹.OCR
    Current balance
    Because negligible current enters the ideal op-amp input, the sum of the input currents equals the current through the feedback resistor.AQA
    Current direction in capacitor circuits
    The discharging current direction is opposite to the charging current direction.AQA
    Current limiting
    The role of a series resistor, which drops the difference between the input voltage and the Zener voltage and limits the Zener current.AQA
    Current limiting and power dissipation
    The resistor value must limit current so the Zener power dissipation does not exceed its rating at minimum load current, when Zener current is highest.AQA
    Current–voltage characteristics
    The current–voltage graph of a component, which is a straight line through the origin for an ohmic conductor but curves for a filament lamp.OCR
    Current, charge and voltage graphs
    Graphs of charge, current and potential difference against time are exponential curves, and the area under a current-time graph gives charge.OCR
    Cyclic process
    A process in which ∆U = 0 over a full cycle, so net Q = net W.AQA
    Cyclotron resonance and constant period
    The period T = 2πm/(Bq) is independent of speed and radius, so the alternating voltage stays in step as the radius grows.AQA
    Cylindrical lens
    A lens whose refractive power acts perpendicular to its axis, providing the difference in power between the two principal meridians.AQA

    D

    Damping
    The removal of energy from an oscillatory system, usually transferred to thermal stores, so the amplitude of free oscillations decreases with time.AQA, OCR
    Damping and energy dissipation
    Damping in a mechanical system removes energy from the oscillations, often as thermal energy, so amplitudes decay or steady-state amplitudes are reduced.AQA
    Damping and resonance amplitude
    Reducing damping raises and narrows the resonant peak, while increasing damping lowers and broadens it and shifts the peak slightly below the natural frequency.OCR
    dark energy
    A controversial component making up about 68% of the energy density of the Universe, to which accelerated expansion is attributed.AQA
    Dark energy and accelerated expansion
    The component associated with the accelerating expansion of the universe.OCR
    Dark matter and its gravitational evidence
    Matter that does not emit or absorb light but exerts gravity, with evidence including galaxy rotation curves and gravitational lensing.OCR
    Data handling and convenience
    Images are recorded digitally, stored, processed and shared, while the eye gives a real-time but non-permanent view.AQA
    Data logger
    A device connected to sensors such as temperature, light, force or motion sensors to collect readings automatically over time.OCR
    Data logging and graphing
    Record current and p.d.OCR
    Data transmission rate
    The actual transmission speed of a medium, which is related to but distinct from bandwidth.AQA
    de Broglie wavelength
    Given by the relation λ = h/p, which links an electron's momentum to its wavelength and supports the wave description of particles.AQA, OCR
    de Broglie wavelength of electrons
    Given by λ = h/p, where p is momentum, it relates to the electron momentum for electrons accelerated through an anode voltage.AQA
    De-sensing
    The strong local signal overloading or desensitising the receiver, reducing its ability to detect the weak incoming signal.AQA
    Decay constant
    A quantity, sometimes written m, related to half-life by the equation λ t₁/₂ = ln 2, allowing conversion between the two.OCR
    Decay constant and its unit
    λ is the decay constant with unit s⁻¹, and t is the elapsed time.OCR
    Decibel scale
    A scale relating intensity to loudness, where a tenfold intensity increase corresponds to about 10 dB.AQA
    Decimal prefixes
    The prefix kilo (symbol k) means one thousand, so it multiplies a unit by 10³.OCR
    Decoding gate
    A logic gate that combines the appropriate Q outputs so its output goes high only at the unwanted state.AQA
    Deep geological disposal
    A final destination for high-level waste that isolates it from the biosphere.AQA
    Defining equation
    The equation for a quantity that is taken and has base units substituted for each symbol.AQA
    Defining equation of simple harmonic motion
    Acceleration is proportional to displacement and directed towards the equilibrium position, written a = −ω²x, with the minus sign showing opposition to…OCR
    Definition of the coulomb
    The amount of charge transferred by a current of 1 ampere in 1 second, so that 1 C = 1 A × 1 s.OCR
    Definition of the parsec
    One parsec is defined as the distance at which one astronomical unit subtends an angle of one second of arc, and 1 pc ≈ 3.09 × 10¹⁶ m, about 3.26 light-years.OCR
    Definition of the tesla
    The magnetic flux density producing a force of one newton on a straight conductor of length one metre carrying a current of one ampere perpendicular to the…AQA
    Degrees to radians
    To convert degrees to radians, multiply by π/180.OCR
    Demodulation
    Recovers the original information signal from the modulated carrier at the receiver.AQA
    Demultiplexer
    Uses the same timing at the far end to route each sample to the correct output.AQA
    Density
    Measures how much mass is packed into each unit of volume, given by ρ = m/V, where ρ is in kg m⁻³, m in kg and V in m³.AQA, OCR
    Density and speed of ultrasound
    The two quantities multiplied together to give acoustic impedance, where ρ is the density of the medium and c is the speed of ultrasound in that medium.OCR
    Density as a material property
    Density is a property of the material, so it can identify a substance, but it changes with temperature for gases and slightly for liquids.OCR
    Dependence of internal energy
    For an ideal gas it depends only on its temperature, not on its volume or pressure.AQA
    Depth
    The fraction of starlight blocked, approximately equal to the square of the ratio of planet radius to star radius.AQA
    Depth calculation from echo time
    Depth is found from the echo time using distance = speed × time ÷ 2, since the pulse travels to the boundary and back.AQA
    Derivation of Kepler's third law
    Combining v = 2πr/T with v² = GM/r leads to T² = 4π²r³/(GM), which is Kepler's third law.OCR
    Derived unit
    A unit formed by combining base units, for example speed in m s⁻¹ or force in kg m s⁻².AQA
    Derived units
    Units such as the newton (N) or joule (J) that are combinations of base units and are equally valid in calculations.OCR
    Derived units with time
    Time appears in derived quantities such as speed (m s⁻¹), acceleration (m s⁻²) and frequency (s⁻¹ or Hz).OCR
    Destructive interference
    Gives minimum amplitude when the waves arrive in antiphase, with phase difference an odd number of π and path difference an odd number of half-wavelengths.AQA, OCR
    Destructive superposition
    A path difference of a half-number of wavelengths gives this, producing dark fringes.AQA, OCR
    Detection and conversion of waves to measurable signals
    A microphone detects sound and converts it to an electrical signal for display or measurement.OCR
    Detectors
    Devices such as the Geiger-Müller tube, cloud chamber or spark counter that are used to detect ionising radiation.OCR
    Determining the time constant from a graph
    Found by reading the time at which the value is 1/e of its starting value, or from the gradient of a graph of ln V against time, whose magnitude equals 1/RC.AQA
    Development of scientific ideas
    Scientific ideas can be accepted slowly when evidence is incomplete or a dominant theory exists.AQA
    Development of scientific models
    Ideas about the nucleus have developed as new evidence and techniques appeared, with each change following new experimental evidence that the previous model…AQA
    Diagnostic imaging and therapeutic treatment
    Imaging of fractures and tumours gains accurate information at low dose, while therapy uses higher doses to kill tumour cells.AQA
    Diesel cycle
    Air alone is drawn in and compressed to a high pressure and temperature, fuel is injected and self-ignites, then expansion and exhaust follow.AQA
    Difference between speed and velocity
    In uniform circular motion the speed is constant but the velocity changes direction continuously, so the velocity is not constant.OCR
    Differential absorption
    Dense tissue such as bone absorbs more X-rays than soft tissue, so it casts a clearer shadow on the detector.OCR
    Differential amplification
    The output voltage is proportional to the difference between the input voltages, multiplied by the open-loop gain.AQA
    Differential equation for discharging a capacitor
    The equation ΔQ/Δt = −Q/CR describes the rate of change of charge Q on a discharging capacitor, where C is capacitance, R is resistance and CR is the time…OCR
    Diffraction
    The spreading of waves passing through an aperture or around an obstacle, producing a central maximum with subsidiary maxima for a single slit.AQA, OCR
    Diffraction and gap-to-wavelength ratio
    The spreading of a wave as it passes through a gap or around an obstacle, most pronounced when the gap width is comparable to the wavelength.OCR
    Diffraction and resolution
    Both types of telescope are diffraction-limited, so angular resolution improves as the aperture diameter increases and as the observed wavelength decreases.AQA
    Diffraction grating equation
    Constructive interference occurs when d sin θ = nλ, where d is the slit spacing, θ is the angle from the normal and n is an integer.AQA
    digital image matrix
    Numerical values for every pixel, produced by readout electronics, forming the digital image displayed on a monitor.AQA
    Digital pulse
    Produced from a peak Hall voltage, and counting these over a fixed time yields the rotation rate.AQA
    Digital versus analogue imaging
    A flat panel detector produces an electrical signal that is digitised immediately, so the image is available within seconds, whereas photographic film must be…AQA
    Dilated time
    The longer interval measured by any observer moving relative to the clock, because the moving clock runs slow relative to them.AQA
    Dimensional analysis
    Checking whether an equation is consistent by replacing each quantity with its base units and seeing whether both sides match.AQA, OCR
    Dimensional consistency
    Both sides of an equation have the same base units when validating a relationship.AQA
    Dimensional consistency and unit conversion
    Keeping units consistent by converting every quantity to SI base units, such as centimetres to metres or grams to kilograms, before substituting into the…AQA
    Dioptre
    The unit (D) of lens power, found from P = 1/f with focal length in metres.AQA
    Direct addition of capacitance
    The formula is applied by adding the capacitance values directly, without taking reciprocals.OCR
    Direct and alternating potential difference
    For a dc input the steady vertical displacement from the zero line is read, while for an ac input the amplitude is measured from the centre line to a peak.AQA
    Direct proportionality
    The special case in which current is directly proportional to potential difference, shown by a straight line through the origin.AQA
    Direct proportionality and graphical analysis
    A straight line through the origin on a graph of force against the independent variable supports direct proportionality, and the gradient yields B, l or I as…AQA
    Direction and magnitude
    Arrows on field lines show the direction of force on a positive test charge, and the spacing of lines indicates field strength.AQA
    Direction and strength from field lines
    The direction of a field line at any point gives the direction of the force on a positive test charge there, and the spacing of the lines indicates field…OCR
    Direction from sign
    A negative gradient indicates motion in the negative direction.OCR
    Direction in one dimension
    Represented by a positive or negative sign.AQA
    Direction of electric field
    The field is directed from the positive plate to the negative plate.OCR
    Direction of field relative to charge sign
    The field points radially away from a positive charge and radially towards a negative charge.OCR
    Direction of force on a conductor
    Given by the thumb of the left hand when the first finger points along the magnetic field and the second finger along conventional current.OCR
    Direction of gravitational force
    The direction of the field line at a point gives the direction of the gravitational force on a small test mass placed there.AQA, OCR
    Direction of gravitational, electric and magnetic fields
    Determined by inspection: towards the attracting mass for gravitational, the force on a positive test charge for electric, and the way a compass needle's…AQA
    Direction of induced current
    This is determined by Lenz’s law or by the right-hand rule for a moving conductor.AQA
    Direction of magnetic field
    The direction of the force on a small free north pole placed at that point.OCR
    Discharging
    The supply is removed and the plates reconnect through a component, so electrons flow from the negative plate, through the external circuit, back to the…OCR
    Discharging circuit
    In a discharging circuit, τ is the time for the charge, potential difference or current to fall to 1/e (about 37%) of its initial value.OCR
    Discrete energy levels
    Only certain energy changes occur, shown by sharp lines rather than the continuous spread a continuous spectrum would imply.AQA, OCR
    Discrete nature of charge
    Charge is not continuous; it arises because charge is carried by discrete particles like electrons and protons, so an object gains or loses whole electrons.OCR
    Dispersion of white light
    White light gives a continuous spectrum in each non-zero order, with violet diffracted least and red most.AQA
    Displacement
    The straight-line distance in a stated direction from start to finish, so it is a vector and can be zero after a round trip.AQA, OCR
    Displacement nodes and antinodes in air columns
    In air columns, closed ends form displacement nodes and open ends form antinodes.OCR
    Displacement–distance graph
    Shows the displacement of particles from their rest positions along the direction of travel at one instant, with one full cycle spanning one wavelength λ.OCR
    Displacement–position envelope
    A graph at a fixed instant showing a sine or cosine curve with regularly spaced nodes and antinodes, crossing the axis at nodes and reaching maxima at…OCR
    Displacement–time graph
    Shows how the displacement of one particle varies with time, with one full cycle spanning one period T.OCR
    Displacement–time oscillation
    A graph for a single point showing simple harmonic oscillation whose amplitude depends on the point's position: zero at a node, maximum at an antinode.OCR
    Dissipated or wasted energy
    Energy transferred to the internal energy store of the surroundings when friction or drag acts, though the total energy is still conserved.AQA
    Dissipation and efficiency
    In real transfers, some energy is often dissipated to the surroundings as thermal energy, but the total remains constant.OCR
    Dissipation of energy during plastic deformation
    Some transferred energy is dissipated by internal friction and becomes thermal energy, so the energy recovered on unloading is less than the energy put in.AQA
    distance modulus
    The relation m − M = 5 log₁₀(d / 10 pc), used to determine distance from apparent and absolute magnitudes.AQA
    Distance modulus and parsecs
    The relationship m − M = 5 log₁₀(d/10) links apparent magnitude, absolute magnitude and distance in parsecs.AQA
    distance of closest approach
    The distance d at which a head-on alpha particle stops, where Coulomb potential energy equals its initial kinetic energy Ek.AQA
    Doppler effect
    Occurs when ultrasound is reflected from moving blood cells, so the frequency of the reflected wave is shifted by an amount Δf compared with the transmitted…AQA, OCR
    Doppler shift
    The change in observed wavelength of the star's spectral lines caused by the star's line-of-sight motion as it orbits the common centre of mass.AQA
    dose reduction
    Both methods increase the signal produced per unit patient dose, so they reduce the dose required for a diagnostic image.AQA
    Dose reduction and safe practice
    Minimise exposure time, handle sources with tongs at arm's length, store them in lead-lined containers, and monitor dose with a film badge.AQA
    Dose shaping and beam geometry
    A multi-leaf collimator shapes the X-ray beam to match the tumour outline, and several beams from different directions or a rotating beam concentrate dose…AQA
    Dose, half-life and penetrating power
    The balance between risk and benefit depends on dose, type of radiation and alternative options.AQA
    Double-slit arrangement
    Uses two coherent sources, or a single source with double slits, to produce an interference pattern observed on a screen as equally spaced bright and dark…AQA
    Double-slit interference
    Light from the laser passes through two narrow slits and the overlapping waves superpose on a screen, producing evenly spaced bright and dark fringes.AQA
    Down-link
    The link from satellite to Earth, which uses a different carrier frequency from the up-link.AQA
    Drag
    A contact force exerted by a fluid on a body moving through it, acting opposite to the relative motion of the fluid.AQA, OCR
    Drag dependence on speed
    As speed rises, drag rises, so the acceleration of a falling object decreases gradually rather than switching off instantly.AQA
    Drag in gases
    The drag force on an object moving through air depends on several factors, including speed, cross-sectional area, shape, air density and surface roughness.OCR
    Drain
    The terminal that collects the carriers and connects to the load or supply.AQA
    Ductile
    A material that shows an initial straight elastic region obeying Hooke's law, then yields and undergoes large plastic strain before breaking.OCR
    Duty cycle
    The high time expressed as a fraction or percentage of the period, for example 0.25 or 25 %.AQA
    Dynodes
    Each is at a successively higher positive potential than the previous one, so electrons are accelerated and each impact releases several secondary electrons,…AQA

    E

    E = mc²
    Einstein's mass–energy equivalence, through which the conversion 1 u = 931.5 MeV links the atomic mass unit to energy.AQA
    E.m.f.
    The energy transferred from other forms, such as chemical energy in a cell, to electrical energy per unit charge as charge passes through the source.OCR
    E.m.f. as a property of the source
    A property of the source itself, not of the external circuit, representing the energy supplied per unit charge.OCR
    Eddy currents
    Currents induced in the iron core by changing magnetic flux, which circulate and heat the core.AQA
    Effect of drag on projectile trajectories
    Drag reduces both the horizontal and vertical velocity components, so the path becomes asymmetric and the range and maximum height fall.AQA
    Effect of larger R or C
    A larger resistance or a larger capacitance increases the time constant and therefore slows the charging or discharging process.AQA
    Effect of loading on a divider output
    The simple divider equations assume negligible current is drawn from the output, so a connected load changes the output voltage.OCR
    Effect of loading on output p.d.
    If a load is connected across the output, the effective resistance of that part of the circuit changes and the output p.d.OCR
    Effect of time step on accuracy of numerical methods
    The accuracy improves as Δt is made smaller.OCR
    Effect of tube current and voltage on the spectrum
    Increasing tube current increases the number of electrons and hence the intensity of X-rays, while increasing tube voltage increases photon energy and reduces…OCR
    Efficiency
    The ratio of useful output energy to total input energy, expressed as a percentage using efficiency = (useful output energy / total input energy) × 100%.AQA, OCR
    Efficient equation form
    The form matching the data, chosen to require the fewest rearrangements and reduce arithmetic slips.OCR
    Elastic and plastic behaviour
    The deformation is elastic if the material returns to its original shape when the forces are removed, and plastic if it does not.OCR
    Elastic collision
    A collision in which the velocity component perpendicular to the wall reverses, so the molecule's momentum change is −2mu and the wall gains +2mu.AQA
    Elastic deformation
    Reversible change in which the material returns to its original shape and size when the deforming force is removed.OCR
    Elastic limit
    The point beyond which the material no longer returns to its original length.AQA, OCR
    Elastic potential energy
    The energy stored in a material when it is stretched or compressed elastically, recovered when the deforming force is removed.AQA, OCR
    Elastic potential energy store
    The initial energy source of the stretched or compressed spring, given by ½k(ΔL)².AQA
    Elastic potential energy stored in deformed materials
    Work done by the stretching force transfers energy to the elastic potential store, equal to the area under a force–extension graph.AQA
    Elastic strain energy
    The energy stored in a stretched or compressed material when it is deformed elastically, which is recovered when the deforming force is removed.AQA
    Elastic versus inelastic collisions
    In an elastic collision both momentum and kinetic energy are conserved; in an inelastic collision momentum is still conserved but kinetic energy is…AQA
    Electric current
    The rate of flow of charge, given by I = ΔQ/Δt, so one ampere is one coulomb per second.AQA, OCR
    Electric field
    One of a number of forms of field giving rise to a force, existing around any charged object and exerting a force on any other charge placed in it.OCR
    Electric field between the plates
    Directed from the positive plate to the negative plate and is uniform between parallel plates.AQA
    Electric field strength
    The force per unit positive charge at a point in a field, E = F/Q, measured in N C⁻¹ or equivalently V m⁻¹.AQA, OCR
    Electric force and acceleration
    The constant electric force F = qE causes acceleration a = F/m = qE/m.OCR
    Electric force on a charge
    A force of magnitude QE on a charge Q in a uniform field E, whose direction depends on the sign of Q and the direction of E.AQA
    Electric force on a charged droplet in a uniform field
    With the electric field applied, the force on the droplet is QV/d, where V is the potential difference across plates separated by d.AQA
    Electric potential
    The work done per unit positive charge in bringing a small positive test charge from infinity to that point.AQA, OCR
    Electric potential difference
    The work done per unit positive charge in moving a positive charge between two points, ΔV = W/Q.AQA
    Electric potential energy
    The work done bringing a charge q from infinity to a distance r from a point charge Q.OCR
    Electrical activity of the heart
    Depolarisation and repolarisation of cardiac muscle produce small potential differences detected by electrodes on the skin.AQA
    Electrical and mechanical analogues
    Mass corresponds to inductance, the spring constant corresponds to the reciprocal of capacitance, voltage maps to force, charge to displacement and current to…AQA
    Electrical conductivity of samples
    The surface must be electrically conducting or semiconducting, so insulators are unsuitable.AQA
    Electrical meter connections
    Connecting an ammeter in series and a voltmeter in parallel with the component, checking meter positions and polarity before describing the procedure.OCR
    Electrical power
    The rate of energy transfer in a component, given by P = VI.OCR
    Electrical power transmission
    The transfer of electrical power through cables that have resistance, so some energy is dissipated as heat.AQA
    Electrode polarity
    The cathode is the negative electrode and the anode is the positive electrode.OCR
    Electromagnetic and kinetic energy
    About 10⁴⁴ J released by a supernova, roughly the same as the Sun does over its entire lifetime.AQA
    Electromagnetic force
    Acts between particles that have charge and is responsible for electric attraction and repulsion, and for magnetic forces.AQA
    Electromagnetic induction
    A changing flux linkage induces an electromotive force (emf).AQA
    Electromagnetic spectrum
    A continuous range ordered by frequency or wavelength, with radio waves at low frequency and gamma rays at high frequency.AQA
    Electromagnetic wave
    Fizeau's value for c closely matching Maxwell's predicted speed provided strong evidence that light is an electromagnetic wave.AQA
    Electromagnetic waves
    Transverse oscillations of electric and magnetic fields that propagate through a vacuum at the speed of light and can be polarised.AQA
    Electromotive force
    The energy transferred per unit charge by the source.OCR
    Electromotive force (e.m.f.)
    The energy transferred from other forms to electrical energy per unit charge passing through a source such as a cell or power supply.OCR
    Electromotive force and internal resistance
    A real source of e.m.f.AQA, OCR
    Electron acceleration
    The role of the high voltage between cathode and anode, which accelerates the electrons towards the anode.OCR
    Electron capture
    An inner-shell electron combines with a proton to form a neutron, so Z decreases by 1 and N increases by 1 while A stays constant; a neutrino is emitted.AQA
    Electron degeneracy pressure
    Pressure arising because electrons cannot occupy the same quantum state, which supports a white dwarf against gravitational collapse instead of fusion.OCR
    Electron diffraction
    The spreading of electrons after passing through a narrow gap or around an obstacle, producing a pattern of maxima and minima.OCR
    Electron flow and conventional current
    The flow of electrons constitutes a current in the external circuit, opposite in direction to conventional current.OCR
    Electron flow in metallic conductors
    In metallic conductors the actual moving charges are electrons, which are negatively charged, so electron flow is in the opposite direction to conventional…OCR
    Electron lepton number
    A quantum number, Lₑ, that is conserved separately in particle interactions.AQA
    Electron optics and magnetic focusing
    Magnetic lenses focus and magnify the electron beam because glass would absorb or scatter electrons.AQA
    Electron volt
    A unit of energy defined as the work done when an electron, carrying elementary charge e = 1.60 × 10⁻¹⁹ C, is accelerated through a potential difference of 1 V.AQA
    electronic scanning
    Readout electronics address pixels sequentially, typically row by row, transferring each pixel's charge to an amplifier and analogue-to-digital converter.AQA
    Electronvolt
    A unit of energy equal to the kinetic energy gained by an electron accelerated through a potential difference of one volt.OCR
    Electronvolt (eV)
    The kinetic energy gained by an electron when it is accelerated through a potential difference of 1 volt ($1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}$).Pearson Edexcel
    Electrostatic force between point charges
    The force is proportional to the product of the charges Q and q and acts along the line joining them, being repulsive for like charges and attractive for…OCR
    Electrostatic forces
    The repulsion between the positive alpha particle and the positive nucleus, which causes the deflection.AQA
    Elementary charge
    A fundamental unit of charge, with magnitude e = 1.60 × 10⁻¹⁹ C, equal to the magnitude of the charge on an electron or proton.AQA, OCR
    Elliptical planetary orbits
    Each planet moves in an ellipse with the Sun at one focus, not at the geometric centre.OCR
    Emergency shut-down
    Rapidly inserts control rods or injects a neutron absorber such as boron to reduce the neutron population and stop the chain reaction.AQA
    Emission
    An alternating potential difference is applied across the crystal, causing it to vibrate at the driving frequency and produce ultrasound.OCR
    Emission line spectrum
    Shows only bright lines at specific wavelengths on a dark background, produced when excited atoms in a low-pressure gas emit photons as electrons drop to…OCR
    Empirical versus theoretical knowledge
    Empirical knowledge is based on experimental measurements and generalised patterns, whereas theoretical knowledge begins with stated assumptions and derives…AQA
    Encapsulation
    A storage method in which intermediate-level waste, such as reactor components, is enclosed in cement.AQA
    Enclosed loop area
    Represents net work done per cycle, while the loop direction shows whether work is done by or on the gas.AQA
    Encoding
    Each quantisation level is represented by a binary code, and the sequence of codes is transmitted as pulses.AQA
    End correction in real tubes
    An end correction must be added to the measured tube length to account for the antinode lying just outside the open end.OCR
    Energy (voltage) response curve
    A curve showing how the output of an LC filter varies with driving frequency, often plotted as output voltage against frequency.AQA
    Energy and motion at equilibrium and maximum displacement
    At maximum displacement, velocity is zero and acceleration is maximum; at equilibrium, velocity is maximum and acceleration is zero.OCR
    Energy changes between orbits
    The energy required to move a satellite between circular orbits is calculated using the difference in total energy.AQA
    Energy condition for escape
    At the surface, radius R, the total energy is ½mv² − GMm/R, and setting this equal to zero at infinity gives ½mv² = GMm/R.OCR
    Energy conservation in atomic transitions
    ΔE is the difference between two energy levels, so it is positive for an emitted photon.OCR
    Energy conservation in electron acceleration
    Electrons accelerated through an anode voltage V gain kinetic energy eV, which is combined with the momentum relation to derive the voltage.AQA
    Energy conservation in mechanics
    A powerful tool for solving mechanics problems without knowing the details of the forces involved.AQA
    Energy conservation in orbital motion
    No energy is transferred when a satellite moves in a circular orbit because its path lies along an equipotential.AQA
    Energy dissipation in resistive cables
    Energy is dissipated as heat in cables that have resistance when electrical power is transmitted through them.AQA
    Energy efficiency in power transmission
    Zero-resistance cables would remove I²R heating losses, raising efficiency, though refrigeration still consumes energy.AQA
    Energy equations for capacitors
    The energy stored is W = ½QV, and substituting Q = CV gives W = ½CV² or W = ½Q²/C.OCR
    Energy equivalent
    A value of 1 u = 931.5 MeV used when working in atomic mass units.AQA
    Energy exchange in oscillating systems
    Both an LC circuit and a mass–spring system oscillate by exchanging energy between two stores.AQA
    Energy gain in an alternating electric field
    Particles cross a gap repeatedly, accelerated by an alternating potential difference whose frequency matches the cyclotron frequency f = Bq/(2πm).AQA
    energy in kW h
    Found by multiplying power in kilowatts by time in hours.OCR
    Energy in stationary waves
    Energy is not transferred along the wave but is stored and exchanged between kinetic and potential forms.AQA
    Energy levels
    In an isolated gas atom, electrons can occupy only certain allowed levels, each with a definite energy.AQA, OCR
    Energy losses and laminated cores
    Laminations reduce eddy currents and energy loss.OCR
    Energy release in fission and fusion
    Fission and fusion release energy because the products have higher binding energy per nucleon, so they are more tightly bound.OCR
    Energy release in nuclear reactions
    The large value of c² means even a tiny mass defect corresponds to a very large energy release, which is why nuclear reactions release far more energy per…AQA, OCR
    Energy release in particle decays
    The total rest mass of the pions is less than the kaon rest mass, so the energy difference appears as kinetic energy of the pions.AQA
    Energy released
    The result of applying ΔE = Δmc², appearing mainly as kinetic energy of the product nuclei and neutrons.AQA
    Energy released per kilogram of fuel
    A quantity, found using the number of nuclei in the sample, used to compare nuclear energy with fossil fuels in a decision-making context.AQA
    Energy storage
    A flywheel absorbs energy when the driving torque exceeds demand and releases it when demand exceeds supply.AQA
    Energy storage and dissipation
    Energy stored elastically is recoverable, whereas energy used in plastic deformation is dissipated, often as heat.OCR
    Energy storage in a capacitor
    The energy stored by a capacitor can be written in three equivalent forms using Q = CV.OCR
    Energy storage in electric fields
    A capacitor stores energy in its electric field, analogous to a spring storing elastic potential energy.AQA
    Energy storage in magnetic fields
    The magnetic field of an inductor stores energy as ½LI², which plays the role of kinetic energy ½mv².AQA
    Energy storage rather than transfer
    No net energy is transferred along a stationary wave; instead energy is stored, oscillating between kinetic and potential forms.OCR
    Energy stored in an electric field
    A capacitor stores energy in the electric field between its plates.OCR
    Energy stores and forms
    Energy exists in different forms or stores, including kinetic, gravitational potential, elastic potential, thermal, chemical, nuclear, electrostatic and…OCR
    Energy transfer and charge
    The equations W = VQ and W = EQ give the energy transferred when charge moves through a potential difference or an electromotive force.OCR
    Energy transfer and temperature change
    The equation E = mcΔθ relates energy transferred, mass, specific heat capacity and temperature change.OCR
    Energy transfer and the equation E = m l
    The energy transferred is E = m l, where m is the mass and l is the specific latent heat.OCR
    Energy transfer at resonance
    At resonance, energy is transferred most efficiently from the driving source to the oscillating system.OCR
    Energy transfer by heating and work
    Heating is energy transfer due to a temperature difference; work is energy transfer by mechanical, electrical or other non-heating means.AQA
    Energy transfer in circuits
    When charge Q moves through a component with potential difference V, the work done is W = QV.AQA
    Energy transfer in electric fields
    Electrical work done on a charged particle accelerated through a potential difference V equals qV, or eV when the charge magnitude is the elementary charge e.OCR
    Energy transfer in electrical circuits
    Energy transferred by an electrical component equals power multiplied by time, so W = V I t.OCR
    Energy transfer in melting and boiling
    Melting and boiling absorb energy, while freezing and condensing release energy, transferred to or from the substance during the phase change.OCR
    Energy transfer pathways
    Energy can be transferred between stores by mechanical work, electrical work, heating or radiation.OCR
    Energy transfer versus energy storage
    A progressive wave transfers energy through the medium, while a stationary wave stores energy without net transfer.OCR
    Energy unit conversion
    Changing an energy between electron volts and joules using the definition 1 eV = 1.60 × 10⁻¹⁹ J, multiplying or dividing as required.AQA
    Energy unit equivalences
    1 eV = 1.60 × 10⁻¹⁹ J and 1 kW h = 3.6 × 10⁶ J.AQA
    Energy-mass equivalence
    Rest mass can be converted to energy where necessary using E = mc², so a decrease in rest mass appears as an increase in kinetic energy or as photon energy.AQA
    Energy–displacement relationships
    At any displacement x, kinetic energy is ½mω²(A² − x²) and potential energy is ½mω²x², so their sum is constant.OCR
    Energy–frequency relationship
    The energy of one photon is directly proportional to the frequency of the radiation, giving E = hf.AQA
    Energy–mass equivalence
    Binding energy relates to the mass defect through E = mc², where m is the difference between the mass of separate nucleons and the nuclear mass.AQA
    Engineering applications
    Flywheels are used in machines such as a vehicle, a press or a wind turbine.AQA
    Enhancement MOSFET
    A device that requires a gate-source voltage above threshold to form its channel, so no channel exists at zero gate-source voltage.AQA
    EOR
    Exclusive-OR gives 1 when inputs differ, and differs from OR only for the 1,1 input.AQA
    Ep = mgh
    The equation giving the change in gravitational potential energy when an object of mass m is raised by a height h in a uniform gravitational field.OCR
    Equal and opposite charges on plates
    The two plates carry charges of equal magnitude and opposite sign.OCR
    Equal areas in equal times
    The line joining a planet to the Sun sweeps out equal areas in equal times, so a planet moves faster when nearer the Sun.OCR
    Equal loudness curve
    A curve joining points of equal perceived loudness, produced by adjusting a test tone until it sounds equally loud as a reference tone at 1 kHz.AQA
    Equal loudness curves
    Curves that join points of different frequency and intensity that sound equally loud.AQA
    Equal potential difference in parallel
    Each capacitor in a parallel arrangement has the same potential difference across it.OCR
    Equation balancing as a validity test
    Adding the charges on each side of a quark transformation equation and showing the totals are equal, which also helps identify whether a proposed…OCR
    Equations of motion
    The suvat equations describe motion under constant force: v = u + at, s = ut + ½at², v² = u² + 2as, s = ½(u + v)t.OCR
    Equations of uniform acceleration
    Problems will be solvable using these, applying them separately to the horizontal and vertical directions.AQA
    Equatorial plane
    The plane must contain the equator; any inclined orbit would drift north and south.AQA
    Equilibrium
    Zero resultant force and constant velocity, distinguished from a body with a non-zero resultant force, which accelerates.AQA
    Equilibrium and opposing moments
    Clockwise and anticlockwise moments oppose each other and are treated as opposing when applying equilibrium.OCR
    Equilibrium conditions
    The resultant force acting on the object is zero and the resultant torque about any point is zero, so there is no linear acceleration and no angular…AQA, OCR
    Equilibrium of forces
    The condition in which the resultant force on the droplet is zero, so the upward electric force balances the downward weight.AQA
    Equilibrium state
    Each point on a p–V diagram fixes a unique equilibrium state of a fixed mass of gas.AQA
    Equipotential surface
    A surface on which the gravitational potential V is the same at every point, so the potential difference between any two points on it is zero.AQA
    Equipotential surfaces
    A surface on which the electric potential is constant, so the potential difference between any two points on it is zero.AQA
    Equipotential surfaces and field lines
    Surfaces on which potential is constant are always perpendicular to electric field lines; in a uniform field they are parallel planes and around a point…AQA
    Equivalence of all inertial frames
    Physical laws have the same form in all inertial frames, so no inertial observer can perform an experiment that reveals absolute rest or absolute motion.AQA
    Equivalent energy formulae
    W = ½QV, W = ½CV² and W = ½Q²/C are the three equivalent expressions for energy stored by a capacitor.OCR
    Equivalent forms of the energy equation
    E = ½QV, E = ½CV² and E = ½Q²/C are equivalent, each useful depending on which quantities are known.AQA
    Error bar
    Drawn through a point to show the absolute uncertainty associated with a plotted measurement.AQA
    Error bars
    Bars drawn on a graph to show the uncertainty attached to each plotted value, centred on the plotted point.AQA
    Error reduction
    Repeating for several currents and plotting a graph, which averages random errors and improves reliability.OCR
    Escape speed
    Given by v = √(2GM/r), it is independent of the escaping mass and is a speed, not a fixed direction.AQA
    Escape velocity
    The minimum speed a projectile needs at the surface of a mass M to escape its gravitational field and reach infinity with zero kinetic energy.AQA, OCR
    Escape velocity formula
    The expression v = √(2GM/R) obtained by equating total energy at the surface to zero at infinity.OCR
    Estimating the age of the universe
    If expansion has been roughly uniform, the time since galaxies were coincident is the distance divided by the speed, giving t ≈ H₀⁻¹.OCR
    Estimating the age of the universe from 1/H₀
    The reciprocal 1/H₀ has units of seconds and gives a rough age of the universe, about 4.4 × 10¹⁷ s or 1.4 × 10¹⁰ years.OCR
    estimation
    Typically involves reading a spectrum to find z, using v = zc and d = v / H₀ to estimate distance, then comparing apparent flux with a known standard to…AQA
    Estimation of stellar surface temperature
    Surface temperature is estimated using T = 2.9 × 10⁻³ / λmax, after measuring the wavelength at which the continuous spectrum is most intense.OCR
    Ethical and environmental trade-offs in transport design
    Ethical design weighs safety benefits against cost, mass, fuel consumption and environmental impact.AQA
    Eustachian tube
    Connects the middle ear to the throat and equalises pressure across the tympanic membrane.AQA
    eV = hc/λ
    The equation stating that the energy lost by an electron crossing the LED junction equals the emitted photon energy.OCR
    Event horizon
    The boundary inside which nothing can escape, including light.OCR
    Evidence and anomaly
    Each model survived only while it matched observation, and anomalies forced revision.AQA
    Evidence and theory
    Acceptance was delayed by scientific authority, limited evidence and the difficulty of detecting interference with early equipment.AQA
    Evidence for Maxwell’s electromagnetic theory of light
    The measured speed agreed with the speed of light, supporting Maxwell’s prediction that light is an electromagnetic wave.AQA
    Evidence for the photon model
    This independence supports the photon model over a continuous wave model of light.OCR
    Evidence for transverse nature
    If a wave can be polarised it must be transverse, because only transverse waves have perpendicular oscillation directions that can be selected.AQA
    Evidence from scattering
    Most alpha particles pass straight through the atom in scattering experiments, while only those passing very close to the nucleus are strongly deflected.OCR
    Evolution of the universe
    After the Big Bang the universe expanded and cooled, passing through a sequence of stages up to the present.OCR
    Exchange particles
    Forces between elementary particles are explained by particles that transmit the force between them.AQA
    Exchange particles and Feynman diagrams
    The W⁻ boson is the exchange particle mediating the weak interaction, and it then decays into an electron and an antineutrino.AQA
    Exchange particles as carriers of forces
    A wavy line represents the exchange particle, which is a virtual photon for electromagnetic interactions and a W⁺ or W⁻ boson for weak interactions.AQA
    Excitation
    When an electron gains a specific amount of energy and moves to a higher energy level within the atom.AQA
    Expansion and cooling of the universe
    As space-time expanded, the radiation was stretched to microwave wavelengths and cooled to its present 2.7 K.OCR
    Expansion of space-time
    Space-time began to expand immediately after the Big Bang and continues to expand today, so the space between galaxies stretches.OCR
    Expansion of the Universe
    The Big Bang model describes an expanding Universe from a hot, dense early state.AQA
    Experimental accuracy in radioactivity
    Improved by subtracting background, removing a constant offset from half-life or absorption measurements.AQA
    Experimental control of diffraction variables
    Shining a laser through a single slit and gradually narrowing the slit shows the central maximum spreading out as the slit becomes narrower.AQA
    Experimental design and control of variables
    Procedures must control variables, repeat readings and reduce random and systematic errors.OCR
    Experimental design and evaluation
    Identifying and controlling sources of error such as parallax, delay in manual timing and air resistance, then comparing the experimental value of g with the…AQA
    Experimental design and uncertainty
    Controlling variables such as source activity, detector settings and measurement time, and repeating readings to reduce random uncertainty.AQA
    Experimental determination of resistivity
    The resistivity of a metal wire is measured using a micrometer, ammeter and voltmeter, with resistance calculated using R = V/I and area using A = πr².AQA, OCR
    Experimental evidence
    Firing electrons through a thin graphite film or narrow slit and observing a diffraction pattern on a fluorescent screen.AQA, OCR
    Experimental evidence for cosmological models
    Penzias and Wilson's 1965 detection provided key experimental support for the Big Bang, and it is now mapped in detail by satellites such as COBE and Planck.OCR
    Experimental generation and detection of radio waves
    A high-voltage spark across a gap produced oscillating charges that radiated electromagnetic waves, and a resonant loop receiver tuned to the same frequency…AQA
    Experimental measurement and uncertainty
    Repeating measurements and calculating a mean, and considering uncertainties in length, time and mass, improves reliability.AQA
    Experimental measurement of half-life
    A sample is placed near a Geiger-Muller tube connected to a counter or ratemeter, and the count rate is recorded at regular time intervals.OCR
    Experimental observation through a microscope
    In the demonstration, smoke particles suspended in air are observed through a microscope and are seen to move in irregular zigzag paths.OCR
    Experimental precision
    Reflected directly by the size of the error bar for that specific data point.AQA
    Experimental technique
    Mounting a rigid straight wire horizontally between the poles so it is perpendicular to the field, with the magnet supported on a digital balance.OCR
    Experimental uncertainty and evaluation
    Using several colours gives a range of frequencies and reduces the effect of random uncertainty, and the value obtained is approximate because the threshold…OCR
    Experimental uncertainty and improvement
    Repeat readings and calculate means, or use a graphical method, to reduce the effect of random errors.AQA
    Explaining shape, volume and pressure with the model
    A solid keeps a fixed shape and volume, a liquid has a fixed volume but takes the shape of its container, and gas pressure arises from collisions of particles…OCR
    Explosions as momentum-conserving separations
    An initially stationary or moving body separates, and the total momentum afterwards equals the total momentum before, often zero if the system started at rest.AQA
    Exponential attenuation
    The decrease in beam intensity is exponential rather than linear because each thin layer removes a constant fraction of the photons still present.AQA
    Exponential attenuation of X-rays
    The attenuation of a collimated X-ray beam follows I = I₀e^(−μx), where I₀ is the incident intensity, I is the transmitted intensity, x is the absorber…OCR
    Exponential change
    The shape of the charging and discharging curves, which have a changing gradient rather than being straight lines.AQA
    Exponential charging and discharging
    Charging current is largest at the start and falls exponentially as the capacitor voltage rises, while discharging reverses the process so charge, current and…OCR
    Exponential decay
    On discharge, Q, V and I all fall exponentially from their initial values towards zero.AQA, OCR
    Exponential decay and growth
    Describing quantities that fall according to x = x₀e^(−t/CR) or rise towards a maximum steady value according to x = x₀(1 − e^(−t/CR)).OCR
    Exponential decay graph
    A curve that decreases asymptotically towards zero, showing a quantity decreasing at a rate proportional to its current value.OCR
    Exponential decay in context
    The age can be estimated using N = N₀e^(−λt) or by counting how many half-lives have passed.OCR
    Exponential decay law
    The rate of decay is proportional to the number of undecayed nuclei, leading to N = N₀e^(−λt).OCR
    Exponential decay of activity
    The equation A = A₀e^(−λt) relates activity at time t to initial activity, decay constant and elapsed time.OCR
    Exponential decay of undecayed nuclei
    The equation N = N₀e^(−λt) relates the number of undecayed nuclei at time t to the initial number.OCR
    Exponential fall during discharge
    During discharge, the charge, current and potential difference all fall exponentially, and after one time constant each quantity has fallen to 1/e of its…AQA
    Extension
    The change in length, not the total length, so always subtract the original length.OCR
    Extension and compression
    The increase in length from the natural length and the decrease in length from the natural length respectively, both measured in metres.OCR
    Extragalactic
    Lying beyond our Galaxy, as quasars do, being extremely remote objects rather than nearby stars.AQA
    Eye safety with electromagnetic radiation
    Even a brief exposure to a direct or reflected laser beam can cause permanent retinal injury because the lens focuses the beam onto a small area of the retina.AQA
    Eyepiece
    A converging lens of short focal length placed so the intermediate image lies at its principal focus, so emergent rays are parallel.AQA

    F

    Factors affecting capacitance
    Capacitance increases with plate area and permittivity, and decreases with separation.OCR
    Factors that change flux linkage
    Flux linkage changes if B changes, if the area A changes, or if the angle θ between field and normal changes.OCR
    Fail-safe
    Safety systems are designed to be fail-safe and may include multiple independent shut-down mechanisms.AQA
    Familiar physical anchors
    Known everyday values, such as a person's mass of about 70 kg, that are scaled to the target quantity.OCR
    Farad
    The unit of capacitance, where one farad is one coulomb per volt, so 1 F = 1 C V⁻¹.OCR
    Faraday's law
    The magnitude of an induced e.m.f.AQA, OCR
    Faraday's law of induction
    The observed induced e.m.f.AQA
    Feedback control
    A control system compares the count rate with a set value and adjusts rollers to keep thickness constant.AQA
    Feedback control systems
    A feedback system adjusts the tip height to keep the tunnelling current constant as the tip is scanned across the surface.AQA
    Fiducial marker
    A clear reference point for judging when a moving object passes a position, improving consistency.OCR
    Field
    A region of space in which a suitable object experiences a force.AQA, OCR
    Field direction
    This depends on the direction of conventional current or on the orientation of the magnet.OCR
    Field emission
    Process distinct from thermionic emission in which a strong electric field pulls electrons from a surface.AQA
    Field line conventions
    A visual convention for mapping a magnetic field, in which lines emerge from a north pole and enter a south pole outside a magnet.OCR
    Field lines and charge sign
    Field lines start on positive charges and end on negative charges, and they never cross.OCR
    Field lines and potential
    Both fields can be represented by field lines, and both have a potential concept.AQA
    Field patterns of current-carrying conductors
    Each current-carrying shape produces a characteristic field pattern, allowing prediction of field direction and relative strength in each case.OCR
    Field representation
    Electric field lines represent the electric field in a region, with the tangent at any point giving the direction of the force on a positive test charge.AQA
    Field strength
    This decreases with distance from the current or magnet.OCR
    Field strength and line spacing
    The spacing of lines indicates field strength: closer lines mean a stronger field, and line density decreases with distance from the centre.AQA, OCR
    Field strength definition
    Electric field strength is defined as the force per unit positive charge.OCR
    Field strength from line spacing
    Closely spaced lines mean a strong field, while widely spaced lines mean a weak field.OCR
    Field-line diagrams
    Show these vectors, with arrows indicating direction and spacing indicating relative magnitude.AQA
    Filament lamp
    Its resistance increases as current increases because the filament temperature rises, so the I–V graph curves and flattens.AQA
    Finite speed
    The result showed light has a finite speed, contradicting instantaneous propagation.AQA
    First law of thermodynamics
    A statement of conservation of energy for a system, linking internal energy change to heating and work.AQA
    first minimum
    Occurs at an angle θ where sin θ ≈ λ/D, with D the nuclear diameter and λ the de Broglie wavelength of the electrons.AQA
    Fission
    A heavy nucleus absorbs a neutron and splits into two smaller nuclei, releasing two or three neutrons and energy.AQA
    Fixed mass of gas
    A condition of the gas laws, since the mass of gas must stay fixed for each relationship to hold.AQA
    Fixed versus moving patterns
    A progressive wave's waveform moves through space, while a stationary wave's nodes and antinodes remain in fixed positions.OCR
    Fleming's left-hand rule
    Gives the direction of the force: first finger field, second finger current, thumb motion or force.AQA, OCR
    Fluid
    Any liquid or gas, so air counts as a fluid.OCR
    Fluorescent tube
    A tube in which accelerated electrons collide with mercury atoms, and a fluorescent coating absorbs ultraviolet photons and re-emits visible light.AQA
    Fluorine–18
    A tracer used in positron emission tomography because it emits positrons; when a positron meets an electron, two gamma photons are produced in opposite…OCR
    fluoroscopic image intensification
    Converts the X-ray pattern into visible light, then into electrons, accelerates and focuses them, and produces a small bright output image.AQA
    Flux leakage
    Where some magnetic field lines do not link both coils.AQA
    Flux linkage
    For a coil of N turns, NΦ, derived as NΦ = BANcosθ, identifying B, A, N and θ with correct units: T, m², dimensionless and degrees or radians.AQA
    Flywheel
    A rotating mass that stores rotational kinetic energy, with angular momentum that resists rapid change so it smooths torque and speed.AQA
    Folded optical path
    The convex secondary increases the effective focal length and allows a long focal length to be folded into a compact tube.AQA
    Force and motion
    If the force and velocity are not in the same direction, only the component of force along the velocity contributes, so P = Fv cos θ.OCR
    Force as a rate of change
    The net force equals the change in momentum divided by the time interval over which it occurs.OCR
    Force as rate of change of momentum
    The force on occupants depends on how quickly momentum changes, since force is the rate of change of momentum.AQA
    Force balance on a moving charge
    The electric force QE and magnetic force BQv act in opposite directions, and when they balance QE = BQv.OCR
    Force constant
    The force constant k measures stiffness: the force needed per unit extension, in N m⁻¹.OCR
    Force on a charge in a field
    Rearranging gives F = Eq, so a charge q in a field E experiences a force Eq.OCR
    Force on a current-carrying conductor
    Has magnitude F = BIl sin θ, where θ is the angle between the conductor and the field, and is maximum when perpendicular and zero when parallel.AQA
    Force on a current-carrying wire
    F = BIl when the field is perpendicular to the current, and the force is perpendicular to both the field and the current.AQA
    Force representation
    Forces are represented by arrows, where length indicates magnitude and direction indicates the force's direction.OCR
    Force-separation relationship
    Between about 0.5 fm and 3 fm the force is attractive, with a maximum attraction around 1 fm, and below about 0.5 fm it becomes repulsive, preventing nucleons…OCR
    Force–extension graphs
    A graph that plots applied force F on the y-axis against extension x on the x-axis for springs and wires.OCR
    Force–extension relationships
    A graph plotting the applied force on the vertical axis against the extension (or compression) on the horizontal axis.OCR
    Force–time graphs
    A plot of force on the y-axis against time on the x-axis, where the area between the graph line and the time axis equals the impulse.OCR
    Force–time relationships
    The impulse of a force is the product of the force and the time for which it acts: impulse = FΔt.OCR
    Forced oscillation
    Occurs when a periodic external driving force is applied, so the system oscillates at the driving frequency rather than its natural frequency.OCR
    Forced vibration
    Occurs when a periodic driving force makes the object oscillate at the driving frequency.AQA
    Formation of a real intermediate image
    The secondary mirror redirects the rays to cross and form a real intermediate image at the focal plane, strictly up to the eyepiece.AQA
    Formation of stationary waves
    Two progressive waves of the same frequency and similar amplitude travel in opposite directions through the same medium and superpose.AQA
    Forward and reverse bias
    A diode conducts only above a forward threshold and blocks reverse current, and an LED is a diode that emits light when forward biased.OCR
    Forward bias
    The condition where the anode is positive relative to the cathode, giving conduction at about 0.7 V for a silicon Zener.AQA
    Fovea
    The region where cones are densely packed, each connecting to its own bipolar and ganglion cell, giving high acuity in good light.AQA
    Fractional quark charge
    Quark charges are given as fractions of the elementary charge e, such as +2/3 e for the up quark and −1/3 e for the down and strange quarks.OCR
    Fractional uncertainty
    Equals the absolute uncertainty divided by the measured value, so 0.001 ÷ 0.842 ≈ 0.00119.AQA
    Fracture and breaking point
    The point at which the material breaks, shown where the graph ends and the force falls to zero.AQA
    Free fall and uniform acceleration
    Motion in which an object falls with uniform acceleration, determined here by timing a falling object over a measured distance.AQA
    Free fall in a uniform gravitational field
    For a body falling in a uniform gravitational field without air resistance, acceleration is g, approximately 9.81 m s⁻² downwards, and a consistent positive…OCR
    Free fall with drag
    Motion of an object falling in a uniform gravitational field in the presence of drag, where acceleration is not constant.OCR
    Free oscillation
    Occurs when a system oscillates at its natural frequency with no external periodic driving force, after being displaced and released.OCR
    Free vibration
    Occurs when an object oscillates at its natural frequency after being displaced, with no periodic external force.AQA
    Free-body diagrams
    A diagram of the point showing each force with its correct direction and labelling unknown magnitudes clearly.AQA, OCR
    Frequency
    The number of complete revolutions per second, measured in hertz (Hz), where 1 Hz = 1 s⁻¹.AQA, OCR
    Frequency and period relationship
    Frequency is the reciprocal of the time for one complete cycle, so carrier frequency is found from f_c = 1/T_c and information frequency from f_m = 1/T_m.AQA
    Frequency as a source-determined property
    When a wave crosses into a new medium its speed and wavelength change, but frequency stays constant because it is set by the source.OCR
    Frequency control
    The running frequency is set by the external resistor and capacitor values in the timing network.AQA
    Frequency modulation
    The carrier's amplitude stays constant while its frequency shifts above and below the unmodulated carrier value at the modulating rate, so the trace looks…AQA
    Frequency modulation (FM)
    A technique in which the carrier frequency is varied while its amplitude stays constant.AQA
    Frequency offset
    A duplex spacing that allows filtering so the receiver is not de-sensed.AQA
    Frequency response
    The bandwidth is the range up to the 3 dB point, and typical units are hertz since gain is a dimensionless ratio and bandwidth is a frequency.AQA
    Frequency response curve
    A plot of the gain of an operational amplifier against the frequency of the input signal, usually on logarithmic axes.AQA
    Friction
    A force that opposes relative motion or the tendency of relative motion between surfaces in contact.AQA, OCR
    Friction power
    The indicated power minus the brake power.AQA
    Frictional torque
    Opposes motion in rotating machinery, so the net torque is the applied torque minus the frictional torque.AQA
    Fringe spacing
    The spacing w between equally spaced fringes formed on a screen in Young's slit experiment, measured by recording the distance across several fringes and…AQA, OCR
    Fuel rods
    These hold fissile material such as uranium-235, often as uranium dioxide, and provide the nuclei that undergo induced fission.OCR
    Full turn in radians
    Because the circumference is 2πr, a full turn is 2π radians, so 360° = 2π rad.OCR
    Functional medical imaging
    A technique that gives functional information about physiology rather than sharp anatomical detail, showing the distribution of tracer uptake.OCR
    Fundamental (base) units
    The small set of independently defined SI units from which every other unit is built.AQA
    Fundamental forces and their ranges
    The strong force is short-range, acting only over a few femtometres, with attraction up to approximately 3 fm and repulsion closer than approximately 0.5 fm.AQA
    Fundamental frequency and harmonics
    The patterns determine the resonant frequencies, and the fundamental frequency of a closed tube is half that of an open tube of the same length.OCR
    Fundamental interactions
    Gravity, electromagnetic, weak nuclear and strong nuclear are the four interactions into which all forces between particles are grouped.AQA
    Fundamental mode
    The lowest frequency stationary wave pattern, also called the first harmonic.OCR
    Fundamental particles
    Particles that have no internal quark structure, unlike protons and neutrons.AQA
    Fundamental thermodynamic principles
    The basis of the scale, such as the efficiency of a Carnot engine, rather than the expansion of a specific material.OCR
    Fusion
    Two light nuclei combine to form a heavier nucleus, releasing energy.AQA
    Fusion and fission
    Fusion of light nuclei moves them up the steep left-hand side towards the peak, and fission of heavy nuclei splits them into mid-mass fragments nearer the…AQA

    G

    Gain and bandwidth
    For a given device, the product of voltage gain and bandwidth is approximately constant.AQA
    Gain-bandwidth product
    A finite value meaning the available gain falls as signal frequency increases, limiting performance at high frequencies.AQA
    Galaxy
    A gravitationally bound system containing stars, gas, dust and dark matter, of which the Milky Way is one example.AQA
    Gamma emission
    The emission of a high-frequency electromagnetic quantum with no mass or charge when a nucleus de-excites to a lower energy state, leaving proton and nucleon…AQA
    Gamma photon energy and detector efficiency
    The energy must be sufficient to penetrate the body yet suitable for efficient detection, so an intermediate energy such as about 100 keV is chosen.AQA
    Gamma ray burst
    A brief, intense emission of gamma rays, extremely energetic flashes of gamma radiation.AQA
    Gas laws
    The equation combines Boyle's law, Charles's law and Avogadro's law, and for a fixed mass of gas pV/T is constant.AQA, OCR
    Gas laws from experiment
    Boyle's law, Charles's law and the pressure law were established by making measurements of p, V and T and generalising patterns from the data.AQA
    Gate
    The control terminal, separated from the channel by a thin insulating oxide layer, whose voltage sets the channel conductivity.AQA
    Gate-source voltage
    The controlling input, while the drain-source path carries the output current.AQA
    Gates as functional building blocks
    Each gate is treated as a single functional block with defined inputs and outputs, and its internal structure or circuit is not required.AQA
    Geiger-Müller tube
    A detector used with a counter to measure count rate when investigating absorption of α-particles, β-particles and γ-rays by appropriate materials.OCR
    Geometric centre
    The point at which the whole weight can be placed in moment calculations for a uniform regular solid.AQA
    Geometry determining capacitance
    For an isolated sphere the capacitance depends only on the radius of the sphere and the permittivity of free space, not on the charge stored.OCR
    Geostationary orbit
    A circular orbit around Earth's equator with a period of one sidereal day, moving west to east at a specific altitude above Earth's surface.AQA, OCR
    Geostationary satellites
    These orbit above the equator with a period of 24 hours, so a dish can be fixed; they are used for television and telephony but have a long path and…AQA
    Geosynchronous orbit
    An orbit with a 24-hour period that may be inclined rather than equatorial, of which the geostationary orbit is a special case.OCR
    Giants and supergiants
    Stars in the upper right region with relatively cool surfaces but very high luminosity, which requires very large radii.AQA
    Glare
    Starlight scattered by telescope optics and dust adds background that can hide the planet's faint signal.AQA
    Gluons
    Exchange particles that carry the strong interaction and act between quarks, holding the quarks together inside protons and neutrons.AQA
    Gold-leaf electroscope demonstration
    A clean zinc plate on the cap of a gold-leaf electroscope can demonstrate the photoelectric effect.OCR
    Gradient
    The rate of change of the vertical quantity with respect to the horizontal quantity, found by drawing a tangent and dividing the vertical change by the…AQA
    Gradient and force constant
    The gradient of the linear region equals the force constant k, since F = kx.OCR
    Gradient and intercept
    Values found from a line of best fit, whose uncertainties are obtained by halving the difference between the steepest and shallowest values.AQA
    Gradient as a graphical derivative
    The gradient of the displacement–time graph gives velocity, and the gradient of the velocity–time graph gives acceleration.OCR
    Gradient as a rate of change
    On a displacement–time graph the gradient gives velocity, and on a velocity–time graph it gives acceleration, found using a tangent where the graph is curved.AQA
    Gradient as rate of change
    The gradient of the graph equals velocity, calculated as change in displacement divided by change in time, with units.OCR
    Gradient interpretation of a v–d graph
    H₀ is the gradient of a velocity–distance graph, relating recession velocity to distance by v = H₀d.OCR
    Graph extrapolation
    Extending the straight line to p = 0 gives the intercept on the T-axis, which is absolute zero.OCR
    Graph gradients
    On a displacement–time graph the gradient gives velocity, and on a velocity–time graph the gradient gives acceleration.OCR
    Graph gradients, intercepts and linearisation
    Plotting y against x gives gradient m and intercept c for y = mx + c, while logarithms linearise power and exponential relationships.OCR
    Graph interpretation
    A component is identified from the shape, symmetry and threshold of its graph, using the gradient or the ratio V/I to explain resistance changes.AQA, OCR
    Graph plotting and analysis
    A data-logger gives smooth exponential graphs and allows the time constant to be found from the curve.OCR
    Graphical analysis
    Plotting fₙ against 1/L, against √T and against 1/√μ to obtain straight-line relationships through the origin if the theory holds.AQA, OCR
    Graphical analysis of electrical circuits
    Plotting the variable against time, identifying the initial value and the asymptote, then checking the curve falls to about 37% after one time constant.AQA
    Graphical analysis of exponential decay
    Corrected count rate is plotted against time on a graph, and the half-life is read as the time for the count rate to halve, or found from a suitable…OCR
    Graphical analysis of Hooke's law data
    Plotting force against extension gives a straight line through the origin within the elastic limit, and its gradient k is used with E = kL/A.OCR
    Graphical analysis of linear relationships
    Plotting V against I gives a line of best fit whose V-axis intercept is ε and whose gradient magnitude is r.AQA
    Graphical analysis of motion
    Plotting s against t² gives a straight line through the origin with gradient ½g, so g is twice the gradient.AQA
    Graphical analysis of V and I
    Plot V against I and use the gradient to give a more reliable R than a single pair of readings.OCR
    Graphical analysis using gradients
    A graph of resistance R against length L is plotted, and since the gradient equals ρ/A, resistivity is found from gradient × A.AQA
    Graphical analysis using natural logarithms
    Taking natural logarithms gives ln I = ln I₀ − μx, so a graph of ln I against x is a straight line of gradient −μ.AQA
    Graphical determination
    Plotting ln V against time for discharge, where the gradient is −1/RC, so τ is the negative reciprocal of the gradient.AQA
    Graphical determination of rate of change and time constant
    The gradient of the Q–t graph at any instant equals ΔQ/Δt, and plotting ln Q against t gives a straight line of gradient −1/CR.OCR
    Graphical determination of stored energy
    Energy stored equals the area under the force–extension graph; for a straight-line region this is ½FΔL, and for curved regions the area is found by counting…AQA
    Graphical integration and estimation techniques
    The area is estimated by splitting the region between the path and the volume axis into strips or simple shapes, counting grid squares, or using the trapezium…AQA
    Graphical interpretation of area and gradient
    The area under a graph of charge against potential difference represents the energy stored, while the gradient is the capacitance C.AQA
    Graphical interpretation of force–extension behaviour
    A hysteresis loop encloses an area representing energy dissipated per cycle, and beyond the elastic limit the material does not return all the stored energy.AQA
    Graphical interpretation of gradients
    The gradient of the displacement–time graph at a given instant gives the instantaneous velocity, and the gradient of the velocity–time graph at a given…AQA
    Graphical interpretation of ρ against T
    A graph of ρ against T has a positive gradient for a metal and a negative gradient for a semiconductor, with the semiconductor fall being non-linear and…OCR
    Graphical methods
    Plotting the modelled values of N against t to visualise the exponential decay curve and determine the half-life.OCR
    Graphical representation of energy
    The energy stored is the work done in transferring charge against the increasing p.d., which equals the area under the V–Q graph.OCR
    Graphical representation of force against distance
    A curve decreasing with distance, asymptotic to the distance axis, that falls steeply as r increases and never crosses the axis for like charges.OCR
    Graphical representation of uncertainty
    Plotting data with error bars, then drawing a line of best fit through the points so that the trend is represented fairly.OCR
    Graphing and interpreting experimental data
    Plot a graph of output voltage against temperature or light intensity and compare with the predicted divider equation.OCR
    Graphs of x, v and a against time
    They share the same period, with v maximum at equilibrium and zero at maximum displacement, and a maximum at maximum displacement and zero at equilibrium.AQA
    Grating equation
    The relation d sin θ = nλ giving the angles θ at which sharp maxima occur when monochromatic light passes through the grating.OCR
    Grating spacing
    The spacing d of a diffraction grating, determined from the number of lines per metre using d = 1 / N.AQA, OCR
    Gravitational collapse
    A region of interstellar dust and gas, mainly hydrogen, becomes dense enough for gravity to overcome internal pressure, pulling matter inward.OCR
    Gravitational constant G
    A universal constant, approximately 6.67 × 10⁻¹¹ N m² kg⁻², appearing in F = −GMm/r².OCR
    Gravitational field
    One of a number of forms of field giving rise to a force, acting on mass and always producing an attractive force.OCR
    Gravitational field lines
    A visual tool to map the gravitational field around a mass, used to represent the field without calculations.OCR
    Gravitational field outside and inside a sphere
    Outside the sphere, g = GM/r² with r measured from the centre; inside a uniform sphere the field is not given by GM/r² and depends on the mass enclosed within…OCR
    Gravitational field strength
    The gravitational force per unit mass on a small test mass placed at a point, g = F/m, measured in N kg⁻¹.AQA, OCR
    Gravitational fields
    A region produced by an object with mass in which another mass experiences an attractive gravitational force.OCR
    Gravitational force as centripetal force
    For a satellite in a circular orbit, gravitational attraction provides the centripetal force, leading to mv²/r = GMm/r² and hence v² = GM/r.AQA
    Gravitational force as the centripetal force
    The gravitational attraction between the planet and the Sun acts towards the Sun and provides the required centripetal force.OCR
    Gravitational potential
    The work done per unit mass in bringing a small test mass from infinity to that point.AQA, OCR
    Gravitational potential difference
    The difference in gravitational potential between two points, equal to the work done per unit mass in moving a small test mass between them.AQA
    Gravitational potential energy
    The product of the mass and the gravitational potential at that point, given by E = mV = −GMm/r at a distance r from a point mass M.AQA, OCR
    Gravitational potential energy conversion
    Infalling matter forms an accretion disc, and gravitational potential energy transfers to thermal energy, heating the disc to millions of kelvin.AQA

    H

    h = eVλ/c
    The rearrangement of eV = hc/λ used to estimate the value of Planck constant h from measured values.OCR
    Hadron
    A particle composed of quarks that experiences the strong nuclear force (e.g., protons, neutrons, mesons).Pearson Edexcel
    Hadron classification
    Hadrons are particles that feel the strong interaction and are not fundamental, and the simple quark model explains them as composites of quarks.OCR
    Hadrons
    Particles made of quarks and antiquarks, divided into baryons, which contain three quarks, and mesons, which contain a quark and an antiquark.AQA, OCR
    Half-life
    The average time taken for half the nuclei in a sample to decay, or for the activity to halve, and is a constant for a given isotope.AQA, OCR
    Half-life and its meaning
    The average time for half the nuclei in a sample to decay, and it is constant for a given isotope.OCR
    Half-value thickness
    The half-value thickness x½ satisfies x½ = ln2/μ, the thickness that reduces intensity to half its initial value.AQA, OCR
    Hall effect
    A steady transverse voltage is produced across a current-carrying conductor placed in a magnetic field due to charge separation.AQA
    Hall effect sensor
    Acts as the sensing element by detecting a small magnet attached to the rotating object.AQA
    Hall voltage
    Given by V_H = B I / (n t e), where B is magnetic flux density, I is current, n is charge carrier density, t is thickness and e is elementary charge.AQA
    Harmonic number n
    Equals the number of half-wavelengths on the string and also the number of antinodes present.AQA
    Harmonics
    Distinct patterns in which a stationary wave on a stretched string or in a pipe can vibrate, with frequencies that are integer multiples of the fundamental…AQA, OCR
    Hazard identification
    Showing awareness of safety issues associated with using lasers, whose narrow, intense, monochromatic beams can damage eyes.AQA
    Heat engine
    It converts thermal energy into useful work, but only if thermal energy flows from a hot source to a cold sink.AQA
    Heat engine efficiency
    Useful work divided by heat absorbed, given as W/Q_h, and always less than 1 when Q_c is positive.AQA
    Heater
    A filament that is heated by a low-voltage supply and controls the number of electrons released and hence the tube current.OCR
    Heavy damping
    Causes the system to return to equilibrium slowly, without completing oscillations.AQA, OCR
    High voltage and electron kinetic energy
    The high voltage supply maintains a large potential difference between cathode and anode, giving the electrons their kinetic energy.OCR
    homogeneity
    A property of physical equations checked by base-unit analysis, such as breaking the newton down into kilograms, metres and seconds.OCR
    Homogeneous
    The distribution of matter and energy is the same everywhere, so no location is special.OCR
    Hooke's law
    The extension of a spring or wire is directly proportional to the applied force, provided the limit of proportionality is not exceeded.AQA, OCR
    Hooke's law behaviour
    For a material obeying Hooke's law the line is straight through the origin, so force is proportional to extension.AQA, OCR
    Hot and cold reservoirs
    A hot source and a cold sink, both required by a real engine, which rejects some heat Q_c to the cold sink.AQA
    Hot spots and pathological uptake
    Areas of high uptake appear as hot spots and may indicate tumours, active inflammation or specific brain activity.OCR
    HR diagram
    A diagram plotting absolute magnitude against decreasing temperature, on which the Sun's position must align with the 5700 K and +5 marks.AQA, OCR
    Hubble constant
    Describes how fast the universe expands, relating recession speed to distance as v = H₀d, so it has units of s⁻¹.OCR
    Hubble's law
    The recessional speed v of a galaxy is approximately proportional to its distance d from the observer: v ≈ H₀ d.AQA, OCR
    Hubble's law and recession of galaxies
    Distant galaxies recede faster because the space between them stretches, so more distant galaxies have greater recession speeds.OCR
    Huygens’ construction
    Every point on a wavefront acts as a source of secondary wavelets whose envelope gives the next wavefront.AQA
    Hydrostatic equilibrium
    A stable main-sequence star exists when inward gravitational force balances outward pressure.OCR
    Hypermetropia
    Long sight, where the eye is too weak or too short, so parallel rays would focus behind the retina and near objects blur.AQA
    Hypothesis testing in physics
    Conservation laws drive the discovery of new particles, and experimental detection of the neutrino later supported the hypothesis.AQA
    Hysteresis
    A feature of polymeric materials where the loading and unloading curves differ, and the area between them represents energy dissipated per unit volume.AQA, OCR

    I

    I = ΔQ/Δt
    The equation relating current I to the charge ΔQ that passes a point in time Δt.OCR
    Ideal ammeter
    Has zero resistance and is connected in series with the component, so no potential difference is dropped across it and it does not change the current.AQA
    Ideal assumption
    Unless a question specifies non-ideal meters, treat the readings as the true values in calculations and circuit analysis.AQA
    Ideal gas
    A gas for which potential energy is negligible, so internal energy depends only on total kinetic energy and therefore on temperature and number of particles.AQA
    Ideal gas assumptions
    A large number of identical particles in random motion, with negligible volume and no intermolecular forces except during elastic collisions.OCR
    Ideal gas equation
    Written as pV = nRT for n moles and pV = NkT for N molecules, relating pressure, volume, amount of gas and absolute temperature.AQA
    Ideal model
    Assumes infinite open-loop gain, infinite input impedance, zero output impedance and infinite bandwidth.AQA
    Ideal op-amp assumptions
    The open-loop gain is infinite and the input resistance is also infinite, so no current flows into either input.AQA
    Ideal voltmeter
    Has infinite resistance and is connected in parallel with the component, so no current flows through it and it does not change the potential difference.AQA
    Image quality and contrast mechanisms
    Spatial resolution and contrast, and why one technique shows particular tissues or functional information better than another.AQA
    Image quality and contrast resolution
    Because the pixel response is linear over a wide range of X-ray intensities, subtle differences in attenuation remain visible, improving contrast resolution.AQA
    Image quality: sharpness and contrast
    Sharpness is improved by a small focal spot and reduced object-to-detector distance, while contrast depends on differential attenuation.AQA
    Image resolution
    How small a separation of features can be distinguished, so a technique producing sharp, high-contrast images of fine structure scores well.AQA
    Impedance matching
    The middle ear acts as an impedance-matching system, improving energy transfer from air to the fluid-filled inner ear.AQA
    Impedance mismatch and reflection
    The difference in impedance between two media, on which the fraction of ultrasound reflected at a boundary depends.OCR
    Impulse
    The integral of force with respect to time, equal to the area under a force–time graph and to the change in momentum.AQA
    Impulse and change in momentum
    Impulse equals the change in momentum, so impulse = Δp = mΔv.OCR
    Impulse and momentum change
    Impulse equals the change in momentum, so the area under a force–time graph has units N s or kg m s⁻¹.OCR
    Independence from projectile mass
    The mass m cancels, so escape velocity depends only on the mass and radius of the body, not on the projectile.OCR
    Independence of KEmax from intensity
    KEmax = hf − φ depends only on the photon frequency and the work function of the metal, so it is independent of intensity.OCR
    Independence of mass in free fall
    In the absence of air resistance, all bodies fall with the same acceleration g regardless of mass.OCR
    Independence of perpendicular components of motion
    The motion splits into two perpendicular components that do not affect each other, so the horizontal and vertical motions of a projectile are independent.OCR
    Independence of perpendicular directions
    Because the components are perpendicular, they can be treated independently, and they can be recombined using Pythagoras' theorem and trigonometry.OCR
    Independence of perpendicular motions
    The horizontal velocity stays constant while the vertical velocity changes uniformly, so the two components of motion are independent.AQA
    Independence of selected speed from charge and mass
    The selected speed is independent of charge and mass, which is why the device can pick a chosen velocity from a mixed beam.OCR
    Indicated power
    The area of the p−V loop multiplied by the number of cycles per second and by the number of cylinders.AQA
    Induced fission
    Begins when a slow neutron is absorbed by a heavy nucleus such as uranium-235, forming an unstable uranium-236 nucleus that splits into two smaller nuclei…AQA
    Induced n-channel
    A conducting channel formed between source and drain when a positive gate-source voltage above threshold attracts electrons to the surface.AQA
    Industrial measurement
    Thickness measurements of aluminium foil, paper and steel, with a source and detector placed on opposite sides of the material.AQA
    Inelastic collision
    A collision in which momentum is conserved but kinetic energy is not; some is transferred to thermal energy, sound or deformation.OCR
    Inertia and opposition to change
    An inductor opposes changes in current, just as mass opposes changes in velocity, and its back e.m.f.AQA
    Inertial frame of reference
    A coordinate system in which a body with no resultant force acting on it remains at rest or moves with constant velocity in a straight line.AQA
    Information signal
    The slower envelope, or the repeating pattern of frequency change in FM, representing the information signal.AQA
    Ingress and egress
    The sloping parts of the curve where the planet's disc partially overlaps the star's disc.AQA
    Input and output connections
    There are two inputs, an output, and power supply connections; the inverting input is marked with a minus sign and the non-inverting input with a plus sign.AQA
    Input offset voltage
    A cause of a small unwanted output voltage even when the input is zero.AQA
    Input transducer
    Converts the original information, such as sound or light, into an electrical signal.AQA
    Instantaneous resultant displacement
    The principle applies at every instant, so the resultant displacement changes as the waves move.OCR
    Instantaneous speed
    The magnitude of velocity at one instant, found from the gradient of a distance–time graph or a tangent.OCR
    Instantaneous versus average velocity
    Average velocity is the overall gradient between two points, while instantaneous velocity uses the tangent at one point.OCR
    Instrument selection
    Choosing a digital instrument appropriate to the quantity being measured, such as a multimeter for electrical measurements.OCR
    Insulating oxide layer
    A thin layer between gate and channel that insulates the gate, giving very high input resistance and negligible steady gate current.AQA
    intensifying screen
    Contains a phosphor that absorbs X-ray photons and emits many visible photons, which expose the film far more efficiently.AQA
    Intensity
    Increasing this increases the number of photons per second, so more electrons are released, but it does not change each photon's energy.AQA, OCR
    Intensity and photoelectric current
    Increasing intensity increases the number of electrons per second, not their maximum kinetic energy.AQA
    Intensity as photons per second
    The energy transferred per unit area per unit time, so for fixed frequency it is proportional to the number of photons arriving per second.OCR
    Intensity of radiation received
    The measured quantity on which apparent magnitude is based, rather than human perception, giving the same intensity ratio every time with a light meter or CCD…AQA
    Intensity proportional to amplitude squared
    Intensity is proportional to the square of amplitude, so doubling the amplitude quadruples the intensity.OCR
    Intensity ratio
    The ratio of received intensities of two stars, related to their magnitude difference by m₂ − m₁ = 2.5 log₁₀(I₁/I₂).AQA
    Intensity reflection coefficient
    The fraction of incident intensity reflected at a boundary, given by Iᵣ/I₀ = (Z₂ − Z₁)²/(Z₂ + Z₁)², where I₀ is the incident intensity and Iᵣ is the reflected…AQA, OCR
    Intensity–angle graph
    A graph showing a central maximum at zero angle and a series of minima and weaker maxima at increasing angles.AQA
    Intensity–wavelength curve
    Rises steeply to a single peak then falls away at long wavelengths, with hotter bodies peaking at shorter wavelengths and curves never crossing.AQA
    Intercept
    The value of the dependent variable when the independent variable is zero.OCR
    Interference
    The superposition of waves from two or more sources, producing regions of maximum and minimum resultant displacement.AQA, OCR
    Interference and diffraction
    Phenomena the wave model handles naturally but the particle model does not.AQA
    Interference as evidence for waves
    Young’s double slits experiment provided clear evidence for interference, which only waves can produce, and helped establish the wave theory.AQA
    Interference fringes
    Bright and dark fringes produced when the two recombining beams have a phase difference because the two paths differ slightly in length.AQA
    Interference of microwaves
    A single transmitter feeds two horn aerials to produce coherent waves, and a receiver moved along a line detects maxima and minima.OCR
    Interference of sound
    Two loudspeakers driven by the same signal act as coherent sources, and a microphone moved along a line parallel to the speakers detects alternating loud and…OCR
    Interferometer
    Apparatus that splits a light beam into two perpendicular arms and recombines the beams to form fringes, comparing light travel times.AQA
    Intermediate image
    A real image formed at the objective's focal plane by non-axial parallel rays, sitting exactly at the shared focal plane of both lenses.AQA
    Internal energy
    The sum of the random distribution of kinetic and potential energies associated with the molecules of a system.AQA, OCR
    Internal energy and particle potential energy
    The internal energy changes during a phase change because the potential energy of the particles changes as bonds are broken or formed.OCR
    Internal energy and the ideal-gas model
    The total kinetic energy of the molecules of an ideal gas, since the ideal-gas model treats intermolecular potential energy as negligible.OCR
    Internal energy changes in gases
    Compressing a gas quickly does work on it, increasing internal energy and raising temperature; a gas expanding and pushing a piston does work on the…AQA
    Internal energy of an ideal gas
    Entirely the kinetic energy of its atoms or molecules, because there is no potential energy associated with their separation.AQA
    Internal imaging
    Allows imaging of organs such as the stomach or colon, with the advantages of flexibility, smaller incisions and real-time visualisation.AQA
    Internal resistance
    The resistance to current flow within the source itself, which causes a potential drop when current flows.OCR
    Internal resistance and terminal p.d.
    In a real cell some energy is dissipated inside the source because of its internal resistance, so the terminal p.d.OCR
    International cooperation and large-scale facilities
    Progress depends on sharing costs, expertise and data across countries and institutions, as in experiments such as those at the Large Hadron Collider.AQA
    Interparticle forces and their strength in each state
    Strong forces hold particles in a regular lattice in a solid, weaker forces allow particles to slide in a liquid, and forces are negligible in a gas.OCR
    Interpretation of hot spots and cold spots
    Areas of abnormally high or low uptake are interpreted as hot spots or cold spots that may indicate disease.OCR
    Interstellar distance scales
    Both units are used for interstellar distances, with parsecs common in professional astronomy and light-years common in popular science.OCR
    Invariance of the speed of light
    The speed of light in a vacuum, c, is constant for all inertial observers, regardless of the motion of the light source or the observer.AQA
    Invariance of the speed of light in free space
    Every inertial observer measures the same value c, regardless of the motion of the source or the observer.AQA
    Inverse relationship between potential and distance
    For a point charge Q, V = Q/(4πε₀r), where r is the distance from the centre of Q and ε₀ = 8.85 × 10⁻¹² F m⁻¹.OCR
    Inverse-distance dependence
    Because E is inversely proportional to r, doubling the separation from r to 2r changes E from −GMm/r to −GMm/2r, an increase of GMm/2r.OCR
    Inverse-distance law for gravitational potential
    V = −GM/r, a negative curve proportional to −1/r that approaches zero from below as r tends to infinity.AQA
    Inverse-square force laws
    Both gravitational and electrostatic forces have inverse-square force laws that have many characteristics in common.AQA
    Inverse-square law
    Apparent brightness decreases with distance squared, so a quasar visible at large distance must have a very large intrinsic power output.AQA, OCR
    Inverse-square law for a point source
    For a point source radiating equally in all directions, the power spreads over a sphere of area 4πr², so I = P/(4πr²) and intensity falls with the square of…OCR
    Inverse-square law for electrostatic force
    The electrostatic force between point charges obeys F = Qq/(4πε₀r²), an inverse-square relationship.OCR
    Inverse-square law for gravitational field strength
    The magnitude of g is GM/r², a positive curve proportional to 1/r² that tends to zero as r tends to infinity.AQA
    Inverse-square law for point masses
    For a point mass or uniform sphere of mass M, g = GM/r², where r is the distance from the centre.OCR
    Inverse-square law for point sources
    The relationship tested by plotting corrected count rate against 1/d², where a straight line through the origin supports it.AQA
    Inverse-square laws
    Both the electrostatic force and the gravitational force obey this, so the ratio of electrostatic to gravitational force is independent of separation.AQA
    Inverse-square relationship
    For a point source radiating uniformly in all directions, the same power spreads over a sphere of area 4πr², giving I = P/(4πr²).AQA
    Inverted magnitude ordering
    A smaller magnitude number means a brighter object, so magnitude 1 is brighter than magnitude 6.AQA
    Inverted magnitude scale
    Brighter stars have smaller magnitudes, including zero and negative values, so magnitude 6 is fainter than magnitude 1.AQA
    Iodine compounds
    Injected or infused into the bloodstream, these are used for the urinary tract and blood vessels because iodine has a high atomic number and absorbs X-rays…OCR
    Ion formation and charge
    The total charge is found from the number of protons minus the number of electrons, and the sign of the charge must be included for an ion.AQA
    Ion movement in electrolytes
    Positive ions move in the conventional current direction while negative ions move the other way, so both contribute to the same conventional current.OCR
    Ionisation
    Collisions between charged particles and gas atoms cause this, creating positive gas ions and free electrons.AQA
    Ionising power
    Alpha is strongly ionising, beta is less ionising than alpha, and gamma is weakly ionising.AQA
    Ionising power and its relationship to penetration
    Penetration and range are inversely related to ionising power: alpha is most ionising but least penetrating, while gamma is least ionising but most penetrating.OCR
    Ionising radiation
    Radiation for which alpha, beta and gamma types have different penetrating and ionising powers, and which is handled safely and measured using detectors.AQA, OCR
    Ionising radiation and biological damage
    High-energy X-rays are ionising and damage DNA, and because cancer cells divide rapidly they are less able to repair this damage than most healthy cells.AQA
    Ionising radiation and biological harm
    Ionising radiation can damage DNA, raising cancer risk, so its medical use trades this harm against benefit.AQA
    Ionising radiation and penetration
    Alpha particles are strongly ionising but travel only a few centimetres in air and are stopped by paper, while gamma rays are highly penetrating.AQA
    Ionosphere and signal variability
    The ionosphere's varying ionisation means sky-wave reception changes with frequency, time of day and solar activity.AQA
    Irradiance
    The quantity received from an object that apparent magnitude is a logarithmic measure of, and which depends on both luminosity and distance.AQA
    Isobaric
    A constant pressure process in which heating lets the gas expand, doing work pΔV while temperature rises.AQA
    Isochoric
    A constant volume process in which heating does no work because ΔV is zero, so all heat raises internal energy and temperature.AQA
    Isochoric process
    A constant-volume process in which W = 0, so Q = ∆U.AQA
    Isochronous oscillator
    An oscillator whose period does not depend on its amplitude.OCR
    Isolating objects
    A single object is shown isolated from its surroundings, drawn as a simple shape or dot, with all external forces acting on it.OCR
    Isothermal
    A process in which temperature is held constant, so the internal energy of an ideal gas stays fixed and any heat added equals work done by the gas.AQA
    Isothermal change
    T is fixed so pV is constant, giving a smooth p–V curve.AQA
    Isotopes
    Atoms of the same element with the same proton number Z but different nucleon numbers A, so they have different numbers of neutrons.AQA, OCR
    Isotopic data
    Relative abundances and masses, which are used to calculate relative atomic mass.AQA
    Isotropic
    The universe looks the same in every direction from any observation point.OCR
    Isotropic-emission assumption
    Power is radiated uniformly in all directions, so the same total power passes through every sphere of radius r.AQA
    Iterative numerical modelling
    A step-by-step numerical method in which the change in nuclei is calculated as ΔN = -λNΔt and the new number of nuclei is N_new = N_old + ΔN, repeated across…OCR

    J

    Johnson counter
    Uses a shift register with the inverted last output fed back to the first input, producing a sequence of 2n states for n flip-flops.AQA
    Joule (J)
    The unit of energy, equivalent to kg m² s⁻².OCR
    Junction and loop rules
    Kirchhoff's first law concerns currents at a junction, and his second law concerns voltages around a closed loop.OCR
    Justified comparison
    Naming the technique, stating the clinical task, then weighing resolution against convenience and safety to justify a choice.AQA

    K

    Kelvin
    The unit of the absolute scale, with 0 K being absolute zero, the temperature at which particles have minimum possible kinetic energy.OCR
    Kelvin scale
    An absolute thermodynamic temperature scale, and temperatures in kelvin are used in the ideal gas equation because T is directly proportional to the average…AQA, OCR
    Kelvin–Celsius conversion
    Convert between kelvin and degrees Celsius using T/K = θ/°C + 273.15, so 0 K is about −273.15 °C.OCR
    Kelvin–Planck statement
    No cyclic device converts all absorbed heat into work.AQA
    kilowatt-hour
    A unit of energy equal to the energy transferred by a 1 kW device operating for 1 hour.OCR
    Kinetic and potential energy interchange
    The interchange is continuous, with kinetic energy converting to potential energy and back each cycle.OCR
    Kinetic energy
    The energy an object possesses due to its motion, calculated using Ek = 1/2 mv² where m is mass in kg and v is speed in m s⁻¹.OCR
    Kinetic energy contribution
    Arises from the random motion of the molecules, and the kinetic energies of the molecules are randomly distributed.OCR
    Kinetic energy of charged particles
    The energy gained by a particle starting from rest becomes kinetic energy, given by ½mv², where m is the mass and v is the final speed.OCR
    Kinetic energy of molecules
    Each molecule has a mean translational kinetic energy of 3/2 kT, so for N molecules the total is U = 3/2 NkT.OCR
    Kinetic theory and observation
    Brownian motion provides direct evidence that matter is made of atoms or molecules in continuous random motion, supporting the molecular kinetic theory model.AQA
    Kinetic theory assumptions and derivation
    The model starts from assumptions about molecules, including random motion, elastic collisions and negligible molecular volume, and derives the same…AQA
    Kinetic theory model of gases
    A simple molecular model treats a gas as many identical molecules in random motion, colliding elastically with the container walls.AQA
    Kinetic, potential and total energy in circular orbits
    Kinetic energy is Eₖ = GMm/(2r), gravitational potential energy is Eₚ = −GMm/r, and total energy is E = Eₖ + Eₚ = −GMm/(2r).AQA
    Kirchhoff's laws
    At any junction the sum of currents entering equals the sum leaving, and around any closed loop the algebraic sum of potential differences is zero.OCR
    Kirchhoff’s second law
    In any closed loop of a circuit, the sum of the electromotive forces equals the sum of the potential differences.OCR

    L

    Laser safety
    Laser light must never be directed towards eyes, and beams should be kept below eye level.OCR
    Latent heat
    The energy transferred at constant temperature during a change of state, which does not appear as a temperature rise.AQA
    Latent heat of fusion
    The latent heat used for melting, the change from solid to liquid.AQA
    Latent heat of vaporisation
    The latent heat used for boiling, the change from liquid to gas.AQA
    Lattice vibrations
    These also increase with temperature, but the dominant effect is the rise in carrier number, so resistance decreases.AQA
    LDR
    A component whose resistance falls as light intensity rises, so its output p.d.AQA, OCR
    Left-hand rule and conventional current
    First finger field, second finger conventional current, thumb force; for a negative particle the conventional current is opposite to the particle's velocity,…AQA
    Length and the metre
    Length is an S.I.OCR
    Length–wavelength relationships for strings and tubes
    A stretched string fixed at both ends and an open tube both give L = nλ/2, while a closed tube gives L = (2n − 1)λ/4.OCR
    Lens power
    The reciprocal of focal length in metres, P = 1/f, measured in dioptres (D).AQA
    Lens separation
    In normal adjustment the intermediate image lies at the principal focus of both the objective and the eyepiece, so the separation equals f₀ + fₑ.AQA
    Lenz's law
    The induced current flows in a direction that opposes the change in flux linkage that produced it.AQA, OCR
    Lenz's law and opposition to change
    The direction of the induced effect opposes the change producing it, for example the coil face becomes a like pole as a magnet approaches.AQA
    Lenz's law and the negative sign
    The negative sign represents Lenz's law: the induced e.m.f.OCR
    Lepton
    A fundamental particle that does not experience the strong nuclear force (e.g., electron, muon, neutrino).Pearson Edexcel
    Lepton charge
    The electron has charge −1, the positron +1, and neutrinos zero.OCR
    Lepton families
    The named charged leptons are the electron and the muon, and the named neutral leptons are the electron neutrino and the muon neutrino.AQA
    lepton number
    A quantity conserved in particle interactions, with the electron antineutrino balancing the electron lepton number and the muon neutrino conserving the muon…AQA
    Lepton number conservation
    Lepton number is conserved within each lepton family, with 1 for leptons, −1 for antileptons and 0 for hadrons.AQA, OCR
    Lift
    A contact force exerted by a fluid on a body moving through it, acting perpendicular to the relative flow and arising when a shape deflects fluid.AQA
    Light curve
    A plot of apparent magnitude against time showing a rapid rise, a broad peak, then an exponential decline with a half-life of about 77 days.AQA
    Light damping
    A gradual exponential-like decrease in amplitude with the oscillator still completing many oscillations and the period remaining approximately constant.AQA, OCR
    Light intensity as a variable
    It can be varied by changing the distance from a lamp or by using different light intensities when investigating an LDR.OCR
    Light year
    The distance electromagnetic radiation travels through a vacuum in one year, found from speed × time with c = 3.00 × 10⁸ m s⁻¹.AQA
    Light-year (ly)
    The distance light travels in a vacuum in one year, about 9.46 × 10¹⁵ m, convenient for distances to stars and galaxies.OCR
    Light-year as a distance unit
    The distance light travels in a vacuum in one year, about 9.46 × 10¹⁵ m.OCR
    Limit of proportionality
    The point up to which the expressions for stored energy apply; beyond it the stored energy is not given by these equations.OCR
    Limitations of classical wave theory
    It predicts that light of any frequency can eject electrons if intense enough or shining long enough, because energy is absorbed continuously and can…AQA
    Limitations of dating methods
    Carbon dating applies only to once-living material and to ages up to roughly 50 000 years, because the remaining activity becomes too small to measure…OCR
    Limitations of simple cosmological models
    The reciprocal is an estimate, not an exact age, because gravity and dark energy change the expansion rate over time.OCR
    Limiting angle
    An angle measured in radians that depends on the wavelength λ and the diameter D of the objective aperture.AQA
    Limiting speed c for massive particles
    As v approached c the speed levelled off below c, so no massive particle reaches the speed of light.AQA
    Limits of the uniform-field approximation
    Uniformity fails over large heights, where g decreases as 1/r².OCR
    Limits on observable orders
    The maximum possible order is limited because sin θ cannot exceed 1, so n ≤ d / λ.OCR
    Line of action
    The infinite straight line along which the force acts.AQA
    Line of best fit
    A straight line that must be checked to see if it passes through the drawn error bars.AQA
    Line of best fit and worst line
    The line of best fit balances points above and below it, while a worst line is the steepest or shallowest line that still passes through every error bar.OCR
    line of stability
    A curved band on a graph of neutron number N against proton number Z on which stable nuclei lie.AQA
    Line spectra
    Because the level spacings are fixed, the photons absorbed or emitted have specific energies and therefore specific frequencies and wavelengths, producing…OCR
    Line spectrum
    A series of sharp, separate bright lines on a dark background, each at a precise wavelength.AQA
    Linearisation using natural logarithms
    Taking natural logarithms gives ln(I₀/I) = μx, so a plot of ln(I₀/I) against x is linear with gradient μ.OCR
    Linearising data using 1/λ
    Since f = c/λ, equating eV = hc/λ gives V = (hc/e)(1/λ), so a graph of V against 1/λ is a straight line through the origin.OCR
    Lines of best fit
    A line drawn through the data taking account of error bars, from which the gradient and intercept are found.AQA
    Logarithmic brightness ratio
    A difference of 5 magnitudes corresponds to a brightness ratio of 100, so a magnitude 1 star is 100 times brighter than a magnitude 6 star.AQA
    Logarithmic brightness scale
    A difference of five magnitudes corresponds to a brightness ratio of exactly 100, so each step is about 2.512 times in brightness.AQA
    Logarithmic plot
    A graph of ln Q against t, which is a straight line with gradient −1/CR.OCR
    Logarithmic scale
    The nature of the magnitude scale, used because human perception is not a reliable linear measure, replacing subjective judgement with a calibrated numerical…AQA
    Long-duration GRB
    A burst that can occur when a rapidly rotating supergiant star collapses at the end of its life, associated with supernovae in distant galaxies.AQA
    Longitudinal
    Describes a wave in which the oscillations of the particles are parallel to the direction of energy transfer, as with sound in air.AQA
    Longitudinal wave
    A wave in which the oscillations are parallel to the direction of travel, producing compressions and rarefactions, for example sound in air.AQA, OCR
    Lorentz factor
    Given by γ = 1 / √(1 − v²/c²), it links the proper time to the dilated time through t = γt₀.AQA
    Lorentz force on charge carriers
    Increased by the increasing magnetic flux density perpendicular to the Hall probe as the magnet passes the sensor.AQA
    Lost volts
    The potential difference across the internal resistance of the source, equal to Ir, where I is the current and r is the internal resistance.OCR
    Loudness perception
    The way loudness is perceived, in which a sound must increase by roughly a factor of ten in intensity to be heard as about twice as loud.AQA
    Low orbit
    A small radius orbit, so it is fast and has a short period, used for Earth observation, imaging, and weather monitoring.AQA
    Low-Earth-orbit satellites
    These have shorter delays but move relative to the ground, so tracking or constellations are needed.AQA
    Luminosity
    How much light an object emits, which apparent magnitude does not describe, so apparent magnitude is not an intrinsic property.AQA, OCR
    Luminosity and detectability
    Very high luminosity allows quasars to be observed at much greater distances than ordinary galaxies.AQA
    Luminosity and radius
    For a star of known luminosity and temperature, Stefan’s law gives its radius.AQA

    M

    Magnetic field generation
    A superconductor can carry large currents with no resistive heating, so electromagnets reach fields ordinary copper coils cannot sustain.AQA
    Magnetic flux
    The product of flux density and the area perpendicular to the field, Φ = BAcosθ, with θ measured between the field direction and the normal to the coil.AQA, OCR
    Magnetic flux and webers
    Measured in webers, where Φ = BA for a uniform field perpendicular to area A, and is distinguished from magnetic flux density B.AQA
    Magnetic flux density
    Measures the strength of a magnetic field in terms of the force it exerts on a current, and is a vector quantity.AQA, OCR
    Magnetic flux density measurement
    Using the change in balance reading when current flows to give the force F on the wire, then B = F / (IL) because the wire is perpendicular to the field.OCR
    Magnetic flux linkage
    Defined as NΦ, the product of the number of turns N and the magnetic flux Φ through one turn.OCR
    Magnetic force
    A force on a current-carrying wire given by F = BIL sin θ, or on a single charge by F = Bqv sin θ, perpendicular to both velocity and field.AQA
    Magnetic force on a moving charge
    A charged particle moving in a magnetic field experiences a force only when its velocity has a component perpendicular to the field.AQA
    Magnetic force on moving charges
    A charged particle moving through a magnetic field experiences a force only when its velocity has a component perpendicular to the field.AQA
    Magnitude and direction
    The two features a vector quantity has, where direction matters because vectors combine by direction as well as size.OCR
    Magnitude and direction of a resultant
    Both must always be stated for a resultant, and the answer checked to see that it is sensible relative to the original vectors.OCR
    Magnitude difference
    A difference of 1 on the magnitude scale is equal to an intensity ratio of 2.51, because 2.51 is the fifth root of 100.AQA
    Main sequence
    A diagonal band from top left (high luminosity, high temperature) to bottom right (low luminosity, low temperature), containing stars fusing hydrogen in their…AQA, OCR
    Malus's law
    The transmitted intensity I is given by I = I₀ cos²θ, where θ is the angle between the transmission axes.OCR
    Margin of error
    The range within which the true value is expected, such as a reading of 25.0 cm³ ± 0.1 cm³.OCR
    Mass and the kilogram
    Mass measures the quantity of matter, and its S.I.OCR
    Mass as the source of gravity
    Every object with mass has a gravitational field, and the field belongs to the mass that produces it.OCR
    Mass defect
    In nuclear fission and fusion, the total mass of the products is slightly less than that of the reactants, and this difference appears as energy.AQA, OCR
    Mass dependence of stellar properties
    The mass of the collapsing cloud determines the star's eventual luminosity, surface temperature and lifetime.OCR
    Mass difference
    The total mass before the reaction minus the total mass after the reaction.AQA
    Mass distribution
    Mass placed further from the axis contributes more to the moment of inertia, so a hollow hoop has a larger moment of inertia than a solid disc of equal mass…AQA
    Mass flow rate
    The mass passing a point each second, given as mass divided by time or as density × cross-sectional area × speed for a fluid in a pipe.AQA
    Mass of the central body determining orbital speed
    In v² = GM/r the planet's mass cancels, leaving the Sun's mass M.OCR
    Mass per unit length
    A quantity determined by weighing a measured length of string, used when strings of different material or thickness are investigated.AQA
    Mass-volume relationship
    Density is calculated as mass divided by volume, with mass in kg and volume in m³.OCR
    Mass–energy conservation
    The increase in binding energy per nucleon corresponds to a decrease in total mass, converted by E = mc².AQA
    Mass–energy equivalence
    The relation ΔE = Δmc², which explains the energy released when a nucleus undergoes fission or fusion.AQA
    Massive stars
    Stars with much more mass than the Sun, which evolve off the main sequence to become a red super giant.OCR
    Material dispersion
    Arises because the refractive index of the core depends on wavelength, so different wavelengths in a source travel at different speeds and arrive at different…AQA
    Material properties in vehicle design
    Material choice links to properties such as density, stiffness, toughness and ultimate tensile strength, balancing lower mass against crash protection.AQA
    Materials and critical limits
    Critical temperature, critical current and critical field limit applications; above any critical value the material reverts to normal resistance.AQA
    Maxima
    Regions where path difference equals a whole number of wavelengths, giving constructive superposition.AQA
    Maximum height
    Found by equating elastic potential energy to total gravitational potential energy, ½k(ΔL)² = mg(h + ΔL).AQA
    Maximum kinetic energy
    The kinetic energy of the fastest emitted electrons, where slower electrons have lost more energy before escaping.AQA, OCR
    Maximum photon energy
    Given by hf_max = eV, so the tube voltage sets a hard limit and increasing V increases it.AQA
    Maximum speed at equilibrium
    Speed is greatest at the equilibrium position, where x = 0, giving vmax = ωA.OCR
    Maxwell's theory
    Predicts the speed of electromagnetic waves, and Fizeau's value for c was very close to this predicted speed.AQA
    Mean drift velocity
    The average velocity of charge carriers along a conductor due to an applied electric field.OCR
    Mean molecular kinetic energy
    For a monatomic ideal gas, (3/2)kT per atom, where k is the Boltzmann constant and T is thermodynamic temperature.AQA
    Mean square speed
    A quantity that pressure depends on, related to pressure by p = (1/3)ρ⟨c²⟩, where ρ is density.OCR
    Measurement accuracy
    Dependence on a sharp pencil, a sensible scale and careful measurement, with a scale chosen to make the drawing large enough to measure accurately.AQA
    Measurement and uncertainty
    The fringe spacing x is measured between corresponding points on adjacent bright fringes, ideally by measuring across several fringes and dividing by the…OCR
    Measurement and unit conversion using scale settings
    Every measured division is converted into volts or seconds using the relevant control value, with units converted consistently.AQA
    Measurement of elementary charge
    Millikan’s method, in which the droplet is held stationary by adjusting V and the measured charges are found to be multiples of e.AQA
    Measurement of motion
    Techniques such as light gates, ticker timers or video analysis are used to measure time, displacement and velocity.OCR
    Measurement of small charges and quantisation of charge
    Repeating the measurement for many droplets gives values of Q that are integer multiples of the elementary charge e, demonstrating charge quantisation.AQA
    Measurement of speed using v = fλ
    Wavelength was determined from standing-wave patterns or interference and frequency from the transmitter circuit, then speed was calculated using v = fλ.AQA
    Measurement of the elementary charge
    Repeating measurements showed every droplet charge was an integer multiple of a smallest value, the elementary charge e, giving a value for e.AQA
    Measurement of wavelength
    Using the grating equation d sinθ = nλ, since the angle depends on wavelength, to measure wavelength accurately.AQA
    Measurement of wavelength, frequency, period and speed
    Quantities such as wavelength, frequency, period or speed are measured using an appropriate method for the chosen source.OCR
    Measurement uncertainty
    May be smaller than the size of the plotted point itself, so no error bar is drawn.AQA
    Measurement uncertainty and control of variables
    The diameter is measured at several positions and orientations and averaged to reduce random error, and the current is kept small and switched off between…AQA
    Measurement uncertainty and error reduction
    Repeating each height and calculating a mean time reduces random error compared with a single measurement.AQA
    Measurement uncertainty and experimental design
    Readings are repeated and averaged to reduce random uncertainty, and systematic effects such as the balance zero and the mass of connecting leads are…AQA
    Mechanical power
    When a constant force F acts on an object moving at constant velocity v in the direction of the force, the mechanical power delivered is P = Fv.OCR
    Mechanical power in rotational motion
    Given by P = Tω, where ω is angular velocity, mirroring linear P = Fv.AQA
    Medical imaging
    The use of display modes such as A-scan and B-scan, for example in measuring the length of the eye or foetal scanning.OCR
    Medical imaging and endoscopy
    Fibre bundles carry light into the body and return images or signals, enabling endoscopy, illumination and some sensing applications without large incisions.AQA
    Medical tracer
    A radioactive substance introduced into the body so that its emitted radiation can be detected outside and used to image or monitor an organ.OCR
    Meson classification
    Kaons are mesons containing a strange quark or antiquark, and pions are lighter mesons with baryon number zero.AQA
    Mesons
    Particles containing one quark and one antiquark, such as the pion and the kaon.AQA
    Metabolic imaging in diagnosis
    PET scanning is used to diagnose and monitor conditions by imaging metabolic activity, with diagnosis relying on comparing the pattern and intensity of uptake…OCR
    Metal wire
    Guides an electrical signal along conductors, is cheap and easy to connect, but suffers attenuation and can pick up interference.AQA
    Meter placement
    An ammeter is placed in series with the component whose current is being measured, while a voltmeter is placed in parallel across the component whose…OCR
    Meter placement in circuits
    An ammeter must be in series with the branch, and a voltmeter in parallel with the component being measured.OCR
    MeV
    A convenient unit for nuclear processes, to which nuclear masses expressed in u can be converted directly.AQA
    Michelson-Morley experiment
    An experiment whose null result supports the invariance of the speed of light, a fundamental postulate of special relativity.AQA
    micro (μ)
    A prefix, symbol μ, that represents 10⁻⁶, so a micrometre (1 μm) is 1 × 10⁻⁶ m.OCR
    Micrometer
    An instrument used to measure external dimensions to 0.01 mm, read using the sleeve and thimble scales.OCR
    Microscopic interpretation of pressure
    Pressure depends on the number of molecules, their mass, the mean square speed and the volume, linking microscopic motion to measurable pressure.OCR
    Microscopic interpretation of temperature
    Temperature alone fixes mean kinetic energy, so at a given T all gas molecules have the same average translational energy regardless of mass.OCR
    Microscopic model of conduction in metals
    Increased lattice vibration increases the rate of collisions between conduction electrons and ions, while the number density of charge carriers is essentially…OCR
    Microscopic model of current
    Since I = Anev, at a fixed current a smaller n requires a larger drift velocity.OCR
    Microscopic origin of pressure
    Pressure is caused by the rate of change of momentum of molecules colliding with the walls.OCR
    Microwave reflection and detection
    A transmitter directs waves at a metal plate; the reflected wave superposes with the incident wave, and a probe detects nodes and antinodes spaced λ/2 apart.OCR
    Microwave stationary waves
    A transmitter directs waves at a metal reflector and the reflected wave superposes with the incident wave, producing nodes and antinodes that can be detected…AQA
    Microwave transmission
    Frequencies in the microwave region, roughly 1–30 GHz, pass through the ionosphere and atmosphere with little absorption or reflection.AQA
    Microwaves
    Free-space electromagnetic radiation that needs line of sight but supports high bandwidth.AQA
    milli (m)
    A prefix, symbol m, that represents 10⁻³, so a millimetre (1 mm) is 1 × 10⁻³ m.OCR
    Millikan’s oil-drop experiment
    Tiny charged oil droplets were balanced or moved by an electric field, and their charges were calculated from force balances, clustering around integer…AQA
    Minimum angular resolution
    The smallest angular separation between two point sources that can still be distinguished as separate.AQA
    Minimum operating current
    A typical current, labelled I_Z(min), marked on the reverse branch as the lower limit below which regulation is unreliable.AQA
    Modal dispersion
    Arises because rays taking different paths through a step-index core have different path lengths, so they arrive at different times even at the same wavelength.AQA
    Model limitations and evidence
    Agreement between theoretical predictions and experimental data supports the model, while disagreement reveals its limits, for example at high pressure or…AQA
    Modelling with probability
    Each die models one unstable nucleus, and a chosen face represents that nucleus decaying in that time interval.OCR
    Moderator
    Surrounds the fuel and slows fast fission neutrons to thermal energies through elastic collisions with light nuclei, increasing the probability of further…AQA, OCR
    Modes and boundary conditions
    The number of half-wavelengths fitting the boundary conditions identifies the mode of vibration, such as the fundamental mode on a string fixed at both ends.OCR
    Modulation
    Imposes the information signal onto a carrier wave, matching the signal to the transmission medium and allowing efficient radiation or sharing of a channel.AQA
    Modulo-n counter
    Counts from 0 up to n − 1 and then resets to 0, so it has n distinct states.AQA
    Modulus
    Identified by analysing each circuit through the next-state table and the sequence of output states.AQA
    Molar calculations
    Finding the number of moles by dividing mass in grams by molar mass in g mol⁻¹, or by dividing number of particles by the Avogadro constant.OCR
    Molar gas constant
    R = 8.31 J mol⁻¹ K⁻¹, which applies to a mole of particles.AQA, OCR
    Molar mass
    The mass per mole of a substance, usually in g mol⁻¹, on which the mass of one mole depends.OCR
    Molecular model of gases
    A gas is treated as a very large number of identical point molecules in continuous random motion with a range of speeds.OCR
    Moles and molar gas constant
    n is the number of moles of gas and R is the molar gas constant, 8.31 J mol⁻¹ K⁻¹.OCR
    Moment
    The turning effect of a force, calculated as force × perpendicular distance from the pivot to the line of action of the force.AQA
    Moment of a couple
    The magnitude of one force multiplied by the perpendicular distance between the lines of action of the two forces.AQA
    Moment of a force
    The turning effect of that force about a pivot, calculated as the product of the force and the perpendicular distance from the pivot to the line of action of…OCR
    Moment of inertia
    A quantity that depends on mass and how that mass is distributed about the chosen axis, so the same body can have different values for different axes.AQA
    Momentum
    The product of mass and velocity, p = mv, for a particle of mass m moving at velocity v.AQA, OCR
    Momentum and diffraction
    Increasing momentum decreases λ, so the wave spreads less and the pattern becomes narrower with fringes closer together; decreasing momentum does the reverse.AQA
    Momentum change in collisions
    Each collision involves a change in momentum, and the rate of change of momentum gives the force on the wall.OCR
    Momentum conservation in road collisions
    In a crash, total momentum is conserved, though the force on occupants depends on how quickly momentum changes.AQA
    Monochromatic light
    Light of a single wavelength or colour, which through a single narrow slit gives a broad central maximum with narrower, fainter secondary maxima on each side.AQA
    Motion
    How the atoms or molecules move, vibrating about fixed mean positions in solids, sliding past one another in liquids and moving rapidly and randomly in gases.OCR
    Motion representation
    Graphs show how displacement, speed, velocity or acceleration vary with time, so axis labels and units must be read first.OCR
    Motional emf
    For a straight conductor of length L moving at speed v perpendicular to a uniform field B, the induced emf is ε = BLv.AQA
    Motor effect
    The force whose direction is given by the thumb when using Fleming's left-hand rule on a current-carrying conductor in an external magnetic field.OCR
    Moving charges
    A steady current is a flow of charge and so creates a field around the conductor, and a single charge moving with velocity v produces a magnetic field.OCR
    Multi-stage heating
    In mixed problems, calculate the energy for each stage separately and sum the values.AQA
    Multimodality imaging
    Because PET shows function rather than fine anatomy, it is often combined with CT or MRI so that metabolic hot spots can be located precisely.OCR
    Multiplexer
    Samples each input in turn so the channel carries a rapid sequence of samples.AQA
    Multiplication and division rule
    For multiplication and division, combine the percentage uncertainties by adding them instead of the absolute uncertainties.AQA
    muon
    A fundamental lepton, identical to the electron in charge and weak interaction but about 207 times more massive, which is unstable and decays by the weak…AQA
    Muon lepton number
    A quantum number, L_μ, that is conserved separately in particle interactions.AQA
    Myopia
    Short sight, where the eye converges too strongly or is too long, so parallel rays focus in front of the retina and distant objects blur.AQA

    N

    n-type inversion channel
    A conducting channel formed at the surface when the gate-source voltage exceeds the threshold voltage, connecting the two n-type regions and allowing current…AQA
    Naked-eye visibility limit
    The faint limit of naked-eye visibility is apparent magnitude 6, the dimmest stars visible to the unaided eye under good dark-sky conditions.AQA
    Natural frequency
    Set by the system's inertia and stiffness, while damping mainly changes peak height and width rather than this frequency.AQA
    Natural frequency of an oscillatory system
    The frequency at which a system oscillates freely once displaced.OCR
    Natural frequency versus driving frequency
    The peak is at the driving frequency nearest the natural frequency, not at an arbitrary point, and increased damping shifts the peak slightly below the…OCR
    Negative potential near a mass
    Because the gravitational force is attractive, the work done by the field is positive when moving from infinity, so the potential is negative near a mass.AQA
    Negative potential near masses
    Because the gravitational force is attractive, the work done by the gravitational field is positive when moving from infinity to a point, so the potential is…OCR
    Negative sign
    It means the potential energy is zero at infinity and decreases as the mass moves closer, so energy is released when a mass falls towards M.OCR
    Negative temperature coefficient of resistance
    The effect in which resistance falls as temperature rises, as shown by an NTC thermistor.OCR
    Negative total energy and bound orbits
    The total energy is negative, showing the satellite is bound, and becomes less negative as r increases.AQA
    Net impulse
    The total impulse over a complete interaction, found by treating areas below the time axis as negative so they reduce it.AQA
    Neutrality of the atom
    The atom is neutral because proton number equals electron number, so a carbon-12 atom with six protons, six neutrons and six electrons has total charge zero.AQA
    Neutrinos
    Electrically neutral particles with very small mass that interact only via the weak interaction, so they are hard to detect.AQA
    Neutron absorption cross-section
    A property that must be high in control-rod materials and low in moderators and ideally coolants, relating material choice to each component's function.AQA
    Neutron moderation and chain reactions
    Fission neutrons are released fast and must be slowed to sustain further fission, since moderating them increases the probability of further induced fission.AQA
    Neutron star
    The collapsed core left after a supernova, extremely dense, with a mass similar to the Sun packed into a radius of about 10 km, and supported against further…AQA, OCR
    Neutron-induced fission
    A nucleus absorbs a neutron and becomes unstable, splitting into two smaller nuclei plus two or three further neutrons and releasing energy.OCR
    newton
    The SI unit of force, defined as the force that gives a mass of one kilogram an acceleration of one metre per second squared.OCR
    Newton's first law and inertia
    If the force were removed, the object would continue in a straight line tangent to the circle, as Newton's first law predicts.OCR
    Newton’s law of gravitation
    The gravitational force F between two point masses is directly proportional to the product of their masses and inversely proportional to the square of the…OCR
    Newton's laws apply along each axis independently
    Newton's second law is applied along each axis separately, using the parallel component to find acceleration or the balance of forces for equilibrium.AQA
    Newton's second law
    The net force acting on an object equals its mass multiplied by its acceleration, written F = ma.OCR
    Newton's second law applied to falling bodies
    A freely falling object experiences only the gravitational force, so Newton's second law gives a = F/m = g.OCR
    Newton's second law for rotation
    Written as T = ∆(Iω)/∆t, and rearranged to T ∆t = ∆(Iω).AQA
    Newton's second law in circular motion
    F = ma, and substituting the centripetal acceleration gives F = mv²/r.OCR
    Newton's second law in momentum form
    The net (resultant) force on a body equals the rate of change of its momentum: F = Δp/Δt.OCR
    Newton's third law applied to magnetic forces
    The field exerts a force on the wire, and the wire exerts an equal and opposite force on the magnet, so the balance reading changes.AQA
    Newton's third law pair
    The force is mutual: each mass pulls the other equally, so the force on each mass is equal in magnitude and opposite in direction.AQA
    Newtonian derivation of Kepler's laws
    These laws are empirical but follow from Newton's law of gravitation and centripetal force.OCR
    Next-state logic
    The logic analysed by tracing how each input affects it, for example showing that a reset pulse overrides the clock.AQA
    No emission below threshold at any intensity
    Radiation below f₀ cannot release electrons no matter how intense it is, because each photon then carries less than φ.OCR
    Node
    A point of permanently zero displacement, where the two waves always cancel because they arrive in antiphase.AQA, OCR
    Node and antinode spacing
    The separation between adjacent nodes, or between adjacent antinodes, is equal to half a wavelength.OCR
    Node and antinode spacing in terms of wavelength
    Adjacent nodes are separated by half a wavelength, and a node and the next antinode are separated by one quarter of a wavelength.OCR
    Nodes and antinodes
    Nodes are points of permanently zero displacement, while antinodes are points where displacement varies with maximum amplitude.AQA, OCR
    Noise-induced loss
    Typically produces a dip around 4 kHz and reduces sensitivity at high frequencies.AQA
    Non-coherent fibre bundle
    Has fibres in random relative positions, so it transmits illumination but not a clear image.AQA
    Non-inertial frame
    A frame that is accelerating or rotating, producing apparent forces that are not caused by physical interactions.AQA
    Non-ionising radiation safety
    Ultrasound is used because it is non-ionising and therefore safer than X-rays for repeated or prenatal imaging.AQA
    Non-ionising safety
    Ultrasound avoids the radiation risk associated with X-rays and CT scans, making it safer for fetuses and repeated examinations.AQA
    Non-linear resistance–temperature graphs
    Curves that are steep at low temperatures and flatten at higher temperatures, so the sensitivity of the sensor changes with temperature.AQA
    Non-ohmic behaviour
    Shown by components whose I–V graph is not a straight line through the origin, such as the diode and the filament lamp.AQA, OCR
    Non-uniform acceleration
    Shown by a curve on a velocity–time graph, where the acceleration is not constant.AQA
    Non-uniform or irregular solid
    A body whose centre of mass may lie elsewhere than the geometric centre and must be found experimentally, for example by suspending it and using a plumb-line.AQA
    Normal adjustment
    The eyepiece is positioned so the intermediate image lies at its principal focus, and rays leave the eyepiece parallel, allowing viewing without accommodation.AQA
    Normal contact force
    A force that acts perpendicular to a surface where two objects touch.OCR
    Normal contact force is perpendicular to a surface
    It is balanced by the perpendicular component of weight when there is no acceleration perpendicular to the surface.AQA
    Normal incidence
    Monochromatic light arrives perpendicular to the grating surface.AQA
    NOT
    A bar over a variable means NOT, so the output is the inverse of the input.AQA
    ntc thermistor
    A semiconductor device whose resistance falls as temperature rises, giving a negative temperature coefficient of resistance.AQA, OCR
    Nuclear density
    Mass divided by volume, giving about 2.3 × 10¹⁷ kg m⁻³ and approximately constant for all nuclei because the A terms cancel.AQA
    Nuclear equations
    Balanced decay equations showing the parent nuclide producing a daughter plus the emitted particle, with A and Z balanced on both sides.AQA
    Nuclear equations and nuclide notation
    A missing particle can be found by subtracting the known totals from the totals on the other side, remembering that electrons have nucleon number 0 and charge…OCR
    Nuclear excited state
    A state in which a daughter nucleus is left with excess energy after alpha or beta decay, shown as a higher line on an energy level diagram.AQA
    Nuclear fusion in stellar cores
    When the core reaches roughly 10⁷ K, hydrogen nuclei fuse into helium, releasing energy.OCR
    Nuclear mass
    Approximately A × 1.66 × 10⁻²⁷ kg, using the atomic mass unit.AQA
    Nuclear notation
    A representation of nuclei that places the nucleon number as a superscript and the proton number as a subscript before the symbol X.OCR
    Nuclear radius
    The graph provides evidence for a value of the order of 10⁻¹⁵ m and supports the model of the nucleus as a small, dense, roughly spherical object.AQA, OCR
    Nuclear stability
    The short-range attraction explains why large nuclei need more neutrons for stability, because the strong force only acts between neighbouring nucleons while…AQA, OCR
    Nuclear volume
    Found by treating the nucleus as a sphere of uniform matter, using V = (4/3)πR³ = (4/3)πr₀³A.AQA
    Nucleon interactions
    Attractive between nucleons separated by up to about 3 fm, becoming repulsive below about 0.5 fm to prevent nucleons collapsing into each other.AQA
    Nucleon number
    The total number of nucleons (protons plus neutrons), not the proton number.AQA, OCR
    Nucleon quark composition
    The proton has composition uud, two up quarks and one down quark, and the neutron has composition udd, one up quark and two down quarks.OCR
    Nuclide notation
    Representation of a parent nuclide and daughter with A and Z, as used in decay equations.AQA
    null result
    No significant fringe shift was observed, so the expected aether effect was not detected beyond experimental uncertainty.AQA
    Number density of charge carriers
    The number density n of charge carriers available to move distinguishes the three classes of material.OCR
    Number of bits per sample
    Determines how many discrete levels are available; increasing it reduces the voltage step between adjacent levels, lowering quantisation error and improving…AQA
    Number of undecayed nuclei
    The actual count of nuclei present at that instant, to which activity is proportional.OCR
    Numerical modelling using spreadsheets
    A small time step Δt is used to update Q iteratively as Q_new = Q_old + (ΔQ/Δt) × Δt, with ΔQ/Δt calculated from the current Q.OCR
    Numerical precision and significant figures
    Presenting the converted value with an appropriate unit and a sensible number of significant figures, keeping powers of ten consistent.AQA

    O

    Objective
    A converging lens of longer focal length than the eyepiece, on a common principal axis, on which non-axial parallel rays from a distant object are incident.AQA
    Objective lens
    Forms an image on the distal face of the coherent bundle, while a viewing lens or camera at the proximal end reconstructs the image.AQA
    Observational cosmology and current models
    These proportions come from combining observations such as the CMB, supernova distances and galaxy surveys, and they remain an active area of research.OCR
    Observational evidence for cosmological models
    Hubble's law, the cosmic microwave background radiation at 2.7 K, and the observed abundances of light elements such as hydrogen and helium.OCR
    Ohm
    The unit of resistance, symbol Ω, where one ohm is one volt per ampere.OCR
    Ohm’s law
    The current through a metallic conductor is directly proportional to the potential difference across it, provided physical conditions such as temperature…OCR
    Ohmic and non-ohmic behaviour
    A fixed resistor at constant temperature has current directly proportional to p.d., giving a straight line through the origin, while a filament lamp is…AQA, OCR
    Ohmic and non-ohmic conductors
    An ohmic conductor at constant temperature gives a straight-line I–V graph through the origin, while a filament lamp is non-ohmic because heating raises its…AQA
    Ohmic conductor
    At constant temperature, current is directly proportional to potential difference, so the I–V graph is a straight line through the origin and resistance is…AQA, OCR
    On-site supply of short-lived tracers
    The generator gives hospitals a reliable, on-site source of a versatile tracer without needing a reactor for each scan.AQA
    One-dimensional vector resolution
    All velocities lie along a single straight line, so momentum conservation becomes a scalar equation once a positive direction is chosen.AQA
    One-to-one interaction
    A single photon is absorbed by a single electron at or near the metal surface, rather than the interaction being spread over many electrons.OCR
    Operational amplifier
    A high-gain differential voltage amplifier supplied as an integrated circuit, treated as an important system building block.AQA
    Operational amplifier design trade-offs
    Increasing the closed-loop gain by reducing negative feedback makes the bandwidth over which that gain is maintained proportionally smaller, and vice versa.AQA
    Opposite-travelling progressive waves
    Two progressive waves of the same frequency and similar amplitude travel in opposite directions through the same medium.AQA
    Optic fibre
    Guides infrared or visible light by total internal reflection, with very low attenuation and immunity to electromagnetic interference, but needs…AQA
    Optical fibres
    Light entering within the acceptance angle strikes the core–cladding interface at an angle greater than the critical angle, so it reflects repeatedly and…AQA
    Optical ray construction and labelling
    Ray directions are marked with arrows, and the path is drawn strictly up to the formation of the intermediate image, without including the eyepiece.AQA
    Orbital period
    The interval between repeated dips, distinguished from the duration of one dip.AQA
    Orbital radius
    Fixed once the period T is chosen, given by r³ = GMT²/(4π²) for a satellite in a circular orbit around a planet of mass M.AQA
    Order
    The number n of a sharp maximum produced by a diffraction grating, with angles θ given by d sin θ = nλ.AQA, OCR
    Order of magnitude
    A scale based on powers of ten, where two quantities differ by one order of magnitude if one is about ten times the other.AQA
    Order of the maximum
    An integer n in d sin θ = nλ, with the zeroth-order maximum at θ = 0° and higher orders appearing symmetrically on both sides.AQA, OCR
    Order-of-magnitude estimation in physics
    Taking λ ≈ 10⁻¹⁰ m and substituting values gives V ≈ 150 V, showing that around 10² V is needed to reach atomic-scale wavelengths.AQA
    Order-of-magnitude reasoning
    Producing a sensible approximate value for a quantity by combining known benchmarks with simple reasoning, then rounding to one significant figure and…AQA
    Ordering
    How regularly the atoms or molecules are arranged, being a regular lattice in solids, random in liquids and negligible in gases.OCR
    Orders of magnitude across the spectrum
    Approximate wavelength ranges for each principal region, not sharp boundaries, with adjacent regions overlapping slightly.OCR
    Origin and evolution of the universe
    The Big Bang marks the origin of space-time itself, not an explosion of matter inside a pre-existing space.OCR
    Origin of upthrust from a pressure difference
    A submerged or partly submerged object experiences upthrust because the pressure on its lower surface exceeds the pressure on its upper surface.OCR
    Oscillating quantity
    The quantity that must be identified, then compared with the direction of energy propagation, to classify an example.AQA
    Oscillation
    Continuous switching between two output levels with no stable state and no external trigger needed.AQA
    Ossicles
    The malleus, incus and stapes transmit and amplify vibrations from the tympanic membrane to the oval window.AQA
    Output transducer
    Converts the recovered electrical signal back into a form the user can perceive, such as sound from a loudspeaker.AQA
    Output voltage as a function of sensor resistance
    Relate the measured output voltage to the changing resistance of the sensor using the divider equation.OCR
    Overall efficiency
    Brake power divided by input power, combining thermal and mechanical efficiencies.AQA
    Overlapping region boundaries
    The boundaries between regions are orders of magnitude rather than exact, and adjacent regions overlap slightly.OCR

    P

    p = F/A
    The equation applying to solids, liquids and gases, in which F is the force perpendicular to the relevant surface and A is the area.OCR
    P = I²R
    Obtained by substituting V = IR into P = VI, and useful when current and resistance are known.OCR
    P = V²/R
    Obtained by substituting I = V/R into P = VI, and useful when voltage and resistance are known.OCR
    p–V diagram
    Plots pressure on the vertical axis against volume on the horizontal axis, with a process drawn as a continuous path joining an initial point to a final point.AQA
    Pair annihilation
    A particle and its antiparticle combine and their mass is converted into photons, commonly two gamma-ray photons each of energy m₀c² emitted in opposite…OCR
    Pair creation
    The conversion of energy into a particle and its antiparticle, for example a photon producing an electron and a positron.OCR
    Pair production
    The strong interaction creates a strange quark and a strange antiquark together, so the total strangeness of the products starts at zero.AQA, OCR
    Parabolic concave primary mirror
    Collects parallel light from a distant object and removes spherical aberration for on-axis parallel rays.AQA
    Parabolic energy curves
    The potential energy curve is a parabola, Ep = ½mω²x², and the kinetic energy curve is an inverted parabola, Ek = ½mω²(A² − x²).OCR
    Parabolic mirror
    Reduces spherical aberration, which arises when a spherical mirror brings marginal rays to a different focus from paraxial rays.AQA
    Parallax
    A star shifts against the background as Earth orbits, and d = 1/p with d in parsecs when p is in arcseconds.AQA
    Parallax and distance measurement
    Because the definition is built from a parallax angle, the parsec links directly to stellar parallax and to the equation d = 1/p.OCR
    Parallax and the parsec
    The parsec is a cosmological distance unit defined using parallax: the distance at which one astronomical unit subtends an angle of one arcsecond.OCR
    Parallax angle p
    Half the total angular shift measured over six months.OCR
    Parallax avoidance
    Reading the scale perpendicular to it so that parallax error is avoided.OCR
    Parallel combination of capacitors
    A connection in which the total capacitance is the sum of the individual capacitances, C = C₁ + C₂ + ...OCR
    Parallel plate capacitor
    Consists of two conducting plates separated by a distance d, with area A overlap.OCR
    Parsec
    The distance at which 1 astronomical unit subtends an angle of 1 arcsecond, defined geometrically and linked to the parallax method.AQA, OCR
    Part-silvered mirror
    Splits a beam of monochromatic light into two perpendicular paths and later recombines the returning beams so they fall on a detector or eyepiece.AQA
    Particle classification
    Leptons are classified as fundamental particles that do not feel the strong force, with the electron and neutrino as examples.OCR
    Particle emission and the neutrino hypothesis
    The neutrino or antineutrino carries away energy and momentum, explaining the continuous beta energy spectrum, so it must be emitted in beta decay.AQA
    Particle physics and the neutrino
    A neutral, nearly massless particle hypothesised to account for the missing energy, with the antineutrino emitted in beta-minus decay and the neutrino in…AQA
    Particle reaction feasibility
    A reaction with unequal total strangeness on the two sides is forbidden as a strong interaction.AQA
    Particle stability and decay chains
    Baryons heavier than the proton are unstable and decay through a chain of processes until a proton is produced.AQA
    Particles in continuous random motion
    The simple kinetic model treats a substance as a large number of particles in continuous random motion.OCR
    Pascal
    The unit of pressure, where one pascal equals one newton per square metre.AQA, OCR
    Path difference
    The extra distance one wave travels compared with another from the same source to a point, determining whether they arrive in step or out of step.AQA, OCR
    Path difference and fringe formation
    Bright fringes occur where the path difference from the two slits is a whole number of wavelengths, and dark fringes where it is an odd number of half…OCR
    Path difference and order of maxima
    The condition for maxima is d sin θ = nλ, where n is the order and takes integer values 0, 1, 2, ...OCR
    Path difference conditions
    Maxima occur where path difference is a whole number of wavelengths, and minima where path difference is an odd number of half-wavelengths.OCR
    Patient dose and radiation risk
    Techniques using ionising radiation deliver a dose whereas ultrasound and MRI do not.AQA
    Patient dose optimisation
    Digital data can be windowed and enhanced after exposure without repeating the scan, and lower retake rates and reduced repeat exposures follow from immediate…AQA
    Patient safety and treatment planning
    Accurate patient positioning, immobilisation and imaging-based treatment planning ensure the beam targets the tumour and avoids critical organs.AQA
    Peak emf
    ε₀ = BANω, reached when the coil plane is parallel to B, where flux linkage is momentarily zero but changing fastest.AQA
    Peak power
    A core-collapse supernova reaches a peak electromagnetic luminosity of 10³⁶ W, roughly 2.6 × 10⁹ times the solar luminosity.AQA
    Peak wavelength
    The wavelength of peak intensity, read from the curve or spectrum and converted to metres to estimate a source's temperature.AQA, OCR
    Peak-to-peak value
    The difference between the maximum positive and maximum negative values, so V_pp = 2V₀.AQA
    Peer review
    Independent experts scrutinise methods, data and conclusions before publication, checking whether conclusions follow from evidence and whether analysis is…AQA
    Penetrating ability
    Paper stops alpha, a few millimetres of aluminium stops beta, but gamma needs thick lead to reduce intensity appreciably.AQA
    Penetrating power and external detection
    Gamma photons penetrate tissue and reach an external detector, whereas alpha and beta radiation is largely absorbed within the body.AQA
    Perceived loudness
    What each curve represents, being constant along a curve and labelled by the 1 kHz level in phons.AQA
    Percentage difference
    A comparison of an experimental value with an accepted value: difference ÷ accepted value × 100.OCR
    Percentage error
    Compares the uncertainty with the measured value, calculated as (uncertainty ÷ measured value) × 100%.OCR
    Percentage form
    Useful for comparing precision across different quantities, because a small absolute uncertainty on a large value gives a tiny percentage uncertainty.AQA
    Percentage uncertainty
    Equals the fractional uncertainty multiplied by 100, giving about 0.119% in this example.AQA
    Perfectly elastic collision
    A collision in which both momentum and kinetic energy are conserved.OCR
    Perfectly inelastic collision
    A special case in which the bodies stick together and move with a common velocity, giving maximum kinetic energy loss.OCR
    Period
    The time in seconds for one complete revolution, related to angular velocity by ω = 2π/T.AQA, OCR
    Period and frequency relationships
    Since f = 1/T, the forms ω = 2π/T and ω = 2πf are equivalent, with T the period in seconds and f the frequency in hertz.OCR
    Period equations
    For a mass on a spring T = 2π√(m/k), and for a simple pendulum T = 2π√(l/g); neither expression contains the amplitude.OCR
    Period–semi-major-axis relationship
    The square of the orbital period T is proportional to the cube of the semi-major axis a, so T²/a³ is constant for all planets orbiting the same central body.OCR
    Permanent magnets
    These produce a magnetic field because atomic magnetic moments within domains are aligned, giving a net magnetic field in materials such as iron, cobalt and…OCR
    Permitted changes in strangeness
    In weak interactions the permitted changes are 0, +1 or −1; changes of magnitude greater than 1 are not observed in a single weak vertex.AQA
    Permittivity
    Related to the permittivity of free space ε₀ by ε = εrε₀, where εr is the relative permittivity of the material.OCR
    Permittivity of free space
    A quantity with the value 8.85 × 10⁻¹² F m⁻¹ that, together with the radius, fixes the capacitance of an isolated sphere in free space.OCR
    Perpendicular components
    The two parts along chosen perpendicular axes that replace a single vector and can be treated independently.AQA, OCR
    Perpendicular distance
    Measured perpendicular to the force direction, between the two parallel lines along which the forces act, not between their points of application.AQA
    Perpendicular distance between lines of action
    The perpendicular separation d used in torque = Fd, taken between the lines of action of the two forces rather than between the points of application.OCR
    Perpendicular field and current
    The thumb, first finger and second finger are held mutually perpendicular; if current and field are parallel, the force is zero.OCR
    Perpendicular force and change of direction
    A constant net force perpendicular to the velocity changes the direction of motion but not the speed.OCR
    Perpendicularity of field lines and equipotentials
    The gravitational force acts perpendicular to the equipotential surface, so equipotential surfaces are always perpendicular to field lines.AQA
    Perpendicularity of force and displacement
    The electric force is always perpendicular to the equipotential surface, so the force has no component along the displacement.AQA
    Petrol cycle
    Fuel–air mixture is drawn in, compressed, ignited by a spark, hot gas expands doing work, and burnt gas is expelled.AQA
    Phase difference
    An angle in radians, linked to path difference by Δφ = 2πΔx/λ, where Δx is path difference and λ is wavelength.AQA, OCR
    Phase relationship
    Displacement and acceleration are in antiphase, while velocity leads displacement by a quarter cycle.AQA
    Phase relationships between points
    Adjacent points between nodes oscillate in phase, while points on opposite sides of a node are in antiphase.OCR
    Phase relationships in simple harmonic motion
    Where displacement is maximum the gradient is zero so velocity is zero, and where displacement crosses zero the gradient is steepest so velocity is maximum in…AQA
    Phon
    The label of each curve, given by the sound intensity level of the 1 kHz reference tone for that curve.AQA
    Photo-conductive mode
    Uses reverse bias and an external supply, giving a wide depletion region and a strong electric field across the junction.AQA
    Photocathode
    Releases electrons when visible photons strike it by the photoelectric effect, the number of photoelectrons being proportional to the light intensity.AQA
    Photocurrent
    Produced when absorbed photons create electron-hole pairs, which are separated by the field; approximately proportional to irradiance over the intended…AQA
    Photocurrent against voltage at fixed irradiance
    A characteristic curve plots current against voltage for several fixed irradiances, and in reverse bias each irradiance gives a near-horizontal line whose…AQA
    Photocurrent and emission rate
    Increasing intensity increases the number of photoelectrons emitted per second and hence the photocurrent.OCR
    Photodiode
    A p-n junction operated in reverse bias that converts light into an electrical signal.AQA
    photodiode pixel
    A tiny light-sensitive semiconductor element in a two-dimensional array that converts received light into a stored electrical charge.AQA
    Photoelectric current
    A current proportional to the rate of emission of photoelectrons, so proportional to intensity at constant frequency above threshold.OCR
    Photoelectric effect
    A photon is fully absorbed and ejects a tightly bound inner-shell electron, with probability rising strongly with Z and falling rapidly as photon energy…AQA, OCR
    Photoelectric emission
    The emission of electrons from a metal surface when electromagnetic radiation of sufficiently high frequency is incident on it.OCR
    Photoelectric equation
    The expression hf = ϕ + Ek(max), which expresses conservation of energy for one photon absorbed by one electron.AQA
    Photomultiplier tubes
    An array of tubes in which each tube's photocathode releases electrons by the photoelectric effect and dynodes multiply the signal by secondary emission.OCR
    Photon
    A quantum of electromagnetic radiation carrying energy E = hf, where h is the Planck constant and f is the frequency.AQA, OCR
    Photon and particle energies
    The energy of any particle or photon can be expressed in eV, a convenient unit for atomic and photon scales.OCR
    Photon emission
    Each line arises when an electron drops from a higher discrete level to a lower one, emitting one photon of energy hf equal to the level difference.AQA, OCR
    Photon energy
    The relationship E = hf links photon energy to frequency, while intensity relates to the rate of photons rather than to the energy of each photon.AQA, OCR
    Photon energy and frequency
    Photon energy is directly proportional to frequency, E = hf, where h is the Planck constant (6.63 × 10⁻³⁴ J s) and f is frequency in hertz.AQA, OCR
    Photon energy and the Planck constant
    The minimum energy needed equals the photon energy hf, and photon energy is related to frequency by E = hf and to wavelength by E = hc/λ.OCR
    Photon model
    Electromagnetic radiation can be modelled as a stream of discrete packets of energy called photons, treating radiation as localised quanta rather than a…AQA, OCR
    Photon model and one-to-one interaction
    One photon interacts with one electron, transferring energy hf; if hf ≥ φ the electron is emitted.AQA
    Photon model of light
    A model in which one photon interacts with one electron, explaining the observations on photoelectricity.AQA
    Physical interpretation
    Relating the gradient and intercept to the physical quantities in the experiment, such as acceleration and initial velocity.OCR
    Physical principles of medical imaging
    The physical interaction each technique uses, such as differential attenuation for X-rays, annihilation photon detection in PET, or reflection of ultrasound…AQA
    Physical quantities
    What each unit measures, for example the pascal is the unit of pressure and the coulomb is the unit of charge.OCR
    physical quantity
    Something that is expressed as a numerical value multiplied by a unit, and without a unit the numerical value is meaningless in physics.OCR
    Piezoelectric effect
    The production of a potential difference across certain crystals when they are mechanically deformed, and the reverse effect where an applied potential…AQA, OCR
    Pion
    A meson made of a quark and an antiquark, acting as the exchange particle of the strong nuclear force.AQA
    Planck constant
    The constant of proportionality between the energy of one photon and the frequency of the radiation, denoted h.AQA, OCR
    Planck's quantum hypothesis
    Energy is emitted or absorbed in discrete quanta of energy E = hf, limiting high-frequency emission because fewer oscillators can acquire large energy quanta,…AQA
    Plane polarised wave
    A wave in which the oscillations are confined to a single plane.OCR
    Planet
    Orbits a star, is massive enough for gravity to make it approximately spherical, and has cleared other bodies from its orbital neighbourhood.OCR
    Planetary nebula
    An expanding shell of gas ejected from the star and ionised by the exposed hot core; the name is historical and has nothing to do with planets.OCR
    Plastic deformation
    Permanent change in which the material does not return to its original shape when unloaded, because atomic planes slip past one another.OCR
    Plastic deformation and permanent extension
    Occurs beyond the elastic limit, where the material does not return to its original length when the force is removed, leaving a permanent extension.AQA
    Plumb line
    A true vertical reference, useful for checking verticality or centring.OCR
    Point charge field
    Given by E = kQ/r² where k = 1/(4πε₀) and r is the distance from the centre.AQA
    Point-by-point addition of ordinates
    Adding the displacements of the individual waves at each point to obtain the resultant displacement.OCR
    Point-mass model
    A uniform spherical mass can be modelled as a point mass located at its centre.OCR
    Point-source assumption
    The source must be small compared with the distance at which it is observed, so that rays are effectively radial.AQA
    Polar molecule
    Has a permanent dipole because its positive and negative charge centres do not coincide.AQA
    Polarisation
    Shows that transverse waves oscillate in one plane, and the procedures demonstrate that microwaves and light are transverse waves because their oscillations…AQA, OCR
    Polarisation of a dielectric
    Caused by the alignment of many polar molecules, which reduces the resultant field between the plates.AQA
    Polarisation of transverse waves
    Restricting oscillations to a single plane, a property exclusively of transverse waves, so longitudinal waves cannot be polarised.OCR
    Polarising filter
    A device that transmits only the component of oscillation parallel to its transmission axis, reducing intensity and producing plane-polarised light.AQA
    Polarity and DC supply connections
    Connecting DC power supplies and cells with the polarity and terminal arrangement indicated, keeping polarity consistent with the diagram.OCR
    Polaroid material
    Contains long-chain molecules that transmit light oscillations parallel to one axis while absorbing components in other planes, so unpolarised light becomes…AQA
    Polaroid sunglasses
    Reduce glare from horizontal surfaces, because reflected glare is partly polarised horizontally and a vertical transmission axis blocks much of it.AQA
    Polycrystalline graphite
    A thin slice of this material contains a regular arrangement of carbon atoms that diffract the electrons passing through it.OCR
    Positive ion bombardment
    Positive ions accelerated towards the cathode strike it, causing the emission of electrons from its surface.AQA
    Positron
    Antiparticle of the electron, with charge +1 rather than -1.AQA
    Positron-emitting radionuclide
    A substance, often fluorine-18 in fluorodeoxyglucose, that is administered and taken up by metabolically active cells, emitting a positron that travels a…OCR
    Potential difference
    The difference in potential between two points, where the work done W in moving a charge q between them is W = qΔV.AQA, OCR
    Potential difference and energy transfer
    The eV is an energy unit, not a unit of potential difference or charge; the volt is potential difference.OCR
    Potential difference division in series
    The potential differences across capacitors in series add to give the total potential difference.OCR
    Potential difference measurement and amplification
    A differential amplifier amplifies the voltage between pairs of electrodes while rejecting common-mode interference such as mains hum.AQA
    Potential divider
    A circuit of two or more components in series across a power supply, used to supply a constant or variable potential difference from that supply.AQA, OCR
    Potential divider circuits
    Arrangements in which a thermistor produces a potential difference that varies with temperature, changing the share of the supply potential difference across…AQA
    Potential divider ratio
    For two resistors R₁ and R₂ in series across a supply of p.d.OCR
    Potential energy contribution
    Arises from the forces between the molecules and depends on their separation.OCR
    Power
    The rate at which work is done or energy is transferred, defined as the work done W divided by the time taken t, so P = W/t.AQA, OCR
    Power as rate of energy transfer
    Power is the rate of transfer in watts, while energy is the total transferred in joules.OCR
    Power conservation in ideal transformers
    For an ideal transformer, power in equals power out, so Ns/Np = Vs/Vp = Ip/Is.OCR
    Power supply rails and saturation
    The power supply connections provide the positive and negative rails that limit the output voltage.AQA
    Powers of ten
    The prefix can be written as a power of ten before doing any arithmetic, so 1 km becomes 1 × 10³ m.OCR
    Powers of ten and unit conversion
    Calculations must be done correctly with powers of ten, keeping units consistent and converting all wavelengths to metres in standard form.OCR
    Powers of ten and unit prefixes
    The prefixes kilo- and mega- make kpc and Mpc larger than a parsec by 10³ and 10⁶ respectively, so the prefix must be checked when converting.OCR
    Practical applications of thermodynamics
    Uses such as domestic refrigerators, air conditioners and heat pumps for space heating.AQA
    Practical control systems
    Circuits in which a thermistor can switch on a heater when it is cold or trigger a cooling fan when it is hot.AQA
    Practical measurement and graphing
    Apply a small sinusoidal input of fixed amplitude, vary its frequency across a wide range, and measure the output amplitude with an oscilloscope or meter,…AQA
    Practical measurement of resistance
    Place an LDR in a circuit with an ammeter and voltmeter and calculate resistance from V/I.OCR
    Practical observation of induced e.m.f. and current
    These experiments let students observe induced voltage on a galvanometer or oscilloscope and relate observations to Faraday's law.AQA
    Precession in a magnetic field
    Protons in the strong uniform field of a superconducting magnet initially align parallel to the field and precess about the magnetic field lines.AQA
    Precision
    Describes how close repeated measurements are to each other, often indicated by the spread or uncertainty.AQA, OCR
    Precision, units and safety
    Recording values with the correct unit and a precision consistent with the instrument used, and following safe and secure technique such as clamping apparatus…OCR
    Prefixes and unit conversion
    Prefixes scale the metre, for example 1 km = 10³ m and 1 nm = 10⁻⁹ m, and centimetres or millimetres are converted to metres before substituting.OCR
    Pressure
    Obtained by summing over N molecules and dividing by wall area A, giving p = (1/3)ρc̄², where ρ is density and c̄² is the mean square speed.AQA, OCR
    Pressure from molecular collisions
    Pressure arises from the rate of change of momentum as molecules strike unit area of wall.AQA
    Pressure variation with depth in a fluid
    In a fluid at rest, pressure increases with depth according to p = ρgh, where ρ is the fluid density, g is the gravitational field strength and h is the depth…OCR
    Pressure–temperature relationship
    Measuring the pressure of a fixed mass of gas at constant volume as its temperature is varied gives a straight line when pressure is plotted against…OCR
    Principle of conservation of energy
    Energy cannot be created or destroyed; it can only be transferred from one store to another or transformed from one form to another.AQA
    Principle of moments
    For an object in rotational equilibrium, the sum of the clockwise moments about any point equals the sum of the anticlockwise moments about that same point.AQA
    Principle of superposition
    Displacements add algebraically at every point.AQA
    Product term
    A term that is true only for one row of a truth table, written using AND gates and NOT gates for inputs that are 0.AQA
    Progressive wave
    A disturbance that transfers energy through a medium or space without transferring matter, as the disturbance travels away from the source.OCR
    Projectile motion
    Horizontal acceleration is zero (constant velocity) and vertical acceleration is g downwards.OCR
    Projectile motion analogy
    When a particle enters perpendicular to the field, its motion is analogous to projectile motion: constant velocity parallel to the plates and constant…OCR
    Projectile motion with drag
    Air resistance opposes the velocity of a projectile at every point, reducing both horizontal and vertical velocity components and making the trajectory…AQA
    Propagation through vacuum at c
    All regions travel through a vacuum at c = 3.00 × 10⁸ m s⁻¹.OCR
    Proper time
    The time interval measured by an observer who sees two events occur at the same place, recorded by a single clock at rest relative to those events.AQA
    Proportional reasoning
    The period is approximately proportional to RC, so doubling R or C roughly halves the frequency.AQA
    Proportional reasoning about length and area
    Doubling L doubles R, and doubling A halves R, for a fixed material.OCR
    Proportional reasoning in nuclear physics
    Combining the radius equation with the volume of a sphere to show that volume is directly proportional to A, the number of nucleons.AQA
    Proportionality of charge and p.d.
    For a capacitor, the p.d.AQA, OCR
    Proton and nucleon number
    The proton number gives the number of protons and identifies the element, while the nucleon number is the total number of protons and neutrons.OCR
    Proton number
    The number of protons in a nucleus, which defines the element.AQA, OCR
    Provisional nature of science
    A model survives while it explains the evidence, and is modified or replaced when new evidence conflicts with it.AQA
    Pulsar
    A rapidly spinning neutron star that emits beams of radiation, detected as pulses when the beam sweeps past Earth.OCR
    Pulse broadening
    The temporal spreading of a signal pulse as it propagates, so the output pulse has a longer duration than the input pulse.AQA
    Pulse width
    The time the output stays high in one cycle; the remainder is the low time.AQA
    Pulse-echo principle
    The principle, used by both A-scan and B-scan, of detecting reflections of pulsed ultrasound at boundaries between media.OCR
    Pulse-echo timing
    The time between emission and echo gives depth using d = vt/2.AQA
    Pulse–echo depth measurement
    A transducer emits high-frequency sound pulses into the body, and the time delay of the echoes provides depth information.AQA
    Pulse–echo principle
    A pulse is emitted and echoes from boundaries are detected, used by both A-scans and B-scans with the same speed of sound in tissue.AQA
    Pure astigmatism
    A condition that can be corrected using only a cylindrical lens, meaning the spherical component is 0.00 DS.AQA
    pV = NkT
    Relates pressure p, volume V, number of molecules N, Boltzmann constant k and thermodynamic temperature T, and is the per-particle form of pV = nRT.OCR
    Pythagoras check
    Confirms resolved components using Fx² + Fy² = F², catching a swapped sine and cosine.AQA

    Q

    Q = ml
    The equation used instead of Q = mcΔθ during a change of state, where Q is the energy needed to change the state of mass m.AQA
    Qualitative modelling
    With air resistance the trajectory becomes asymmetric, with reduced range, lower maximum height, and a descent that is steeper than the ascent.AQA
    Qualitative reasoning in wave optics
    The relationship is qualitative: no calculation is required, but the direction of change must be stated correctly.AQA
    Qualitative treatment of friction
    Describing the effects of friction in words and identifying the direction of the frictional force without calculating coefficients.AQA
    Quality factor Q
    A quantity relating to the width of the peak: a higher value gives a narrower, sharper resonance.AQA
    Quanta
    Discrete packets in which the energy exchanged between matter and electromagnetic radiation comes, rather than continuously.AQA
    Quantisation
    Assigns each sample to the nearest available discrete level, where the number of levels is 2ⁿ and n is the number of bits per sample.AQA
    Quantisation of charge
    The net electric charge on any particle or object can only take discrete values that are integer multiples of the elementary charge e.OCR
    Quantisation of charge and the elementary charge
    The elementary charge e = 1.60 × 10⁻¹⁹ C is the charge carried by an electron, used with the potential difference in W = QV to derive 1 eV = 1.60 × 10⁻¹⁹ J.AQA
    Quantisation of electric charge
    Every droplet charge was an integer multiple of a smallest value, demonstrating that charge exists in discrete units carried by electrons.AQA
    Quantisation of electromagnetic radiation
    Electromagnetic radiation is emitted, absorbed or transferred in discrete quanta called photons, each of energy E = hf.AQA
    Quantisation of energy
    Energy is emitted or absorbed in discrete quanta, with energy E = hf, which suppresses high-frequency emission and matches the observed black-body spectrum.AQA, OCR
    Quantised energy packets
    Black-body radiation and the photoelectric effect could not be explained by classical wave theory alone, leading to quantised energy packets or photons.AQA
    Quantitative analysis of power loss
    For a given power P transmitted at voltage V, the current is I = P ÷ V, and the power lost in the transmission line of resistance R is P_loss = I²R.AQA
    Quantitative prediction
    The relationship allows the bandwidth to be predicted for a chosen gain, or the gain to be predicted for a required bandwidth.AQA
    Quantum efficiency
    The fraction of incident photons that produce a detectable signal, which is low for the eye but can exceed 80 per cent for a CCD.AQA
    Quantum tunnelling
    Electrons can cross the gap between a very sharp metal tip and a conducting surface when a small potential difference is applied.AQA
    Quark and anti-quark composition
    Baryons contain three quarks (qqq), while mesons contain a quark and an anti-quark (qq̄), using up (u), down (d) and strange (s) quarks and their respective…OCR
    Quark model of hadrons
    Hadrons are particles that experience the strong interaction and are built from quarks.AQA
    Quark model of nucleons
    In this model the neutron is udd and the proton is uud, so in β⁻ decay one down quark must change into an up quark.OCR
    Quark properties
    Charge, baryon number and strangeness, which are combined arithmetically when identifying particles or checking whether a reaction is allowed.AQA
    Quark structure of mesons
    Mesons are composed of a quark and an antiquark, for example π⁺ is u d̄ and π⁻ is ū d.AQA
    Quark transformation and hadron change
    One down quark changes into an up quark, so the neutron (udd) becomes a proton (uud).AQA
    Quarks
    Fundamental particles that combine to form hadrons such as protons and neutrons, with flavours up (u), down (d) and strange (s).AQA
    Quasar
    An extremely luminous active galactic nucleus powered by accretion onto a supermassive black hole, often outshining its host galaxy.AQA
    Quasars
    Compact, intense radio sources with faint star-like optical images, later shown to lie at vast distances with exceptionally high intrinsic luminosity.AQA
    Quasi-stellar radio sources
    The original name for quasars, given because optical follow-up showed faint star-like points rather than extended galaxies.AQA

    R

    Radial field of a point charge
    A field that points away from a positive charge and towards a negative charge.OCR
    Radial field patterns
    For a point mass or a uniform sphere, the field is radial, with lines pointing towards the centre of the mass.OCR
    Radial fields
    Around a spherical mass the lines are radial and evenly spaced at a given distance.AQA
    Radial velocity method
    A detection technique in which the periodic Doppler shift of the star's spectral lines is measured as the star moves towards and away from the observer.AQA
    Radian
    The SI unit of angle, defined so that one radian is the angle subtended at the centre of a circle by an arc equal in length to the radius.AQA, OCR
    Radians and phase
    One complete oscillation corresponds to a phase change of 2π radians.OCR
    Radians to degrees
    To convert radians to degrees, multiply by 180/π.OCR
    Radiation protection and patient dose
    Dose is reduced by collimating the beam, minimising exposure time, using appropriate filtration and avoiding unnecessary repeat exposures.AQA
    Radiation safety and source handling
    The source must be handled with tongs and kept away from the body, as gamma radiation is highly penetrating.AQA
    Radio astronomy surveys
    Surveys in the 1950s and 1960s that detected strong, compact radio sources before their optical counterparts were recognised.AQA
    Radio waves
    Free-space electromagnetic radiation that diffracts around obstacles and passes through walls.AQA
    Radio-quiet valley
    A site where a radio dish is often placed to reduce interference.AQA
    Radioactive dating
    A method using the ratio of parent to daughter nuclei and the known half-life to calculate an age.AQA, OCR
    Radioactive decay
    The fading remnant is powered by the decay of nickel-56 and cobalt-56, giving a characteristic timescale of roughly 77 days.AQA
    Radiopharmaceutical uptake and distribution
    A gamma-emitting radiopharmaceutical is administered and designed to accumulate in the target organ or tissue, and the computer forms a two-dimensional image…OCR
    Radiotherapy and the therapeutic ratio
    Fractionation divides the total dose into many smaller treatments, allowing healthy cells time to repair sub-lethal damage between fractions while tumour…AQA
    Radius of a charged particle orbit
    Equating BQv to mv²/r gives r = mv/(BQ), so the radius depends on mass, speed, flux density and charge.OCR
    Radius of geostationary orbit
    Substituting T = 8.64 × 10⁴ s and GM = 3.99 × 10¹⁴ m³ s⁻² gives r ≈ 4.22 × 10⁷ m from Earth's centre.AQA
    Raising to a power
    Raising a quantity to a power multiplies its percentage uncertainty by that power.AQA
    Random and spontaneous decay
    Radioactive decay is random and spontaneous, so a single nucleus's fate cannot be predicted, yet large samples show exponential decay.OCR
    Random errors
    Unpredictable variations in repeated measurements about a mean value, caused by factors such as fluctuating temperature, vibration or inconsistent reading of…AQA, OCR
    Random molecular motion
    Fluid molecules move randomly and collide unevenly from different directions, so a suspended particle experiences a fluctuating resultant force.AQA
    Random motion
    Motion of particles with no net movement of the body as a whole, with individual particles having a distribution of speeds.AQA
    Random thermal motion versus drift motion
    Carriers have much larger random thermal speeds, but these average to zero and do not contribute to the current, whereas the field gives each carrier a small…OCR
    Random variation
    Fluctuation reduced by repeating the background measurement and averaging.AQA
    Randomness of radioactive decay
    For any given nucleus, we cannot know when it will decay, and in a sample, different nuclei decay at different times.OCR
    Range and mass
    The infinite range of the electromagnetic force is consistent with the zero rest mass of the photon.AQA
    Range and resolution
    Choosing a suitable range so that the reading is within the display limits and gives appropriate precision.OCR
    Range and strength
    The range and strength of each interaction relate to the mass of its exchange particle, with heavier exchange particles giving shorter range.AQA
    Range and strength of the strong nuclear force
    Attractive around 1 fm and negligible beyond roughly 3 fm, with a repulsive core below 0.5 fm that is not due to pion exchange.AQA
    Rapid discharge applications
    Uses exploit this: camera flashes charge a capacitor then release energy rapidly through a tube, and defibrillators deliver a controlled pulse.OCR
    Ratchet
    A part of the micrometer used to apply consistent pressure and avoid over-tightening, compressing the object or damaging the instrument.OCR
    Rate of change of flux linkage
    The magnitude of the induced emf equals this quantity, written ε = N ΔΦ/Δt, with ΔΦ measured in webers and Δt in seconds.AQA
    Rate of change of momentum
    The resultant force equals this quantity, which for constant mass reduces to F = ma.OCR
    Rate of emission
    Above the threshold frequency, the number of photoelectrons released per second, directly proportional to the intensity of the incident radiation.OCR
    Rate of energy transfer
    Power is the rate of doing work or transferring energy, measured in watts (W), where 1 W = 1 J s⁻¹.OCR
    Ratio method
    Forming a ratio such as P₁/P₂ = (r₁²T₁⁴)/(r₂²T₂⁴) so that σ and 4π cancel, then solving for the unknown quantity.AQA
    Ray box
    Produces a narrow beam of light to investigate refraction and total internal reflection.OCR
    Rayleigh criterion
    Gives the minimum angular resolution θ of a telescope as θ ≈ λ ÷ D, where λ is the wavelength and D is the diameter of the objective aperture.AQA
    RC time constant
    Of the junction capacitance and load resistance determines response time, so a smaller load resistor gives a faster but smaller signal.AQA
    RC timing network
    An external resistor–capacitor network that sets the running frequency of an astable rather than the supply voltage.AQA
    Reaction time
    The time before the brakes are applied, during which the thinking distance is travelled; thinking distance divided by speed gives it.OCR
    Real forces providing circular motion
    The force is provided by a real interaction such as tension, friction or gravity, not by a new outward force.OCR
    Real image
    An inverted, diminished image formed on the retina, which acts as the fixed image plane.AQA
    Real meters
    Have small but non-zero ammeter resistance and large but finite voltmeter resistance, which cause small measurement errors.AQA
    Real-time communication system
    Transmits information with negligible delay, so the receiver reproduces the signal almost instantaneously.AQA
    real-time viewing
    Fluoroscopic image intensification produces a bright output image that a camera or screen can display, allowing real-time viewing in fluoroscopy.AQA
    Rearrangement of ρ = m/V
    The equation can be rearranged to m = ρV and V = m/ρ to find mass or volume.OCR
    Rearranging C = Q/V
    The defining equation can be rearranged to Q = CV and V = Q/C to find charge or potential difference.OCR
    Reasonableness checking
    Comparing the value against everyday experience or a known reference before committing to the answer.OCR
    Receiving aerial
    Must be aligned parallel to the electric field oscillations to detect the signal strongly; rotating it towards perpendicular reduces reception.AQA
    Reception
    Incoming ultrasound waves deform the crystal, generating a small alternating potential difference that can be detected and processed.OCR
    Reciprocal relationship
    Frequency and period are reciprocals of each other, so f = 1/T and T = 1/f.OCR
    Reciprocal relationship between period and frequency
    Frequency is the reciprocal of period, f = 1/T, with the period measured as the horizontal distance for one complete cycle.AQA
    Reciprocal relationship for capacitance
    The reciprocal of the total capacitance equals the sum of the reciprocals of the individual capacitances: 1/C = 1/C₁ + 1/C₂ + ...OCR
    Reciprocals
    Period and frequency are reciprocals: T = 1/f and f = 1/T, so a larger period corresponds to a smaller frequency, and vice versa.OCR
    Recombination
    After roughly 380 000 years the universe cooled enough for electrons and nuclei to combine into neutral atoms, so radiation could travel freely.OCR
    Red giant
    A star whose outer layers expand and cool after core hydrogen is exhausted, giving a larger radius and lower surface temperature.OCR
    Red giant branch
    The region reached when the core contracts while outer layers expand and cool, giving higher luminosity and lower temperature.AQA
    Red giants
    Cool but luminous stars that sit above the main sequence on the right.OCR
    red shift
    Calculated from observed and rest wavelengths using z = (λ_observed − λ_rest) / λ_rest, and for cosmological red shifts it indicates recession and distance.AQA, OCR
    Red-shift and blue-shift
    For a receding source the observed wavelength increases and frequency decreases, while for an approaching source the wavelength decreases and frequency…OCR
    Redshift
    A shift of spectral lines that gives the recession speed, often using Δλ/λ₀ = v/c for speeds much less than c.AQA
    Reference tone
    A tone at 1 kHz set to a chosen sound intensity level, such as 40 dB, against which a test tone is judged.AQA
    Reflection and transmission of ultrasound at boundaries
    When ultrasound meets a boundary between two media, part of the wave is reflected and part is transmitted, with the reflected fraction depending on the…OCR
    Reflection at boundaries
    The change of direction at a boundary, where the angle of incidence equals the angle of reflection, both measured from the normal.OCR
    Reflection at curved and plane surfaces
    Incoming parallel rays reflect off the concave primary mirror and are redirected by a secondary mirror, convex for Cassegrain or plane for Newtonian.AQA
    Refraction
    The gradual bending of sky waves as electron density changes through the ionosphere, which can return them to Earth.AQA, OCR
    Refraction and wave speed
    A change in wave speed upon entering a new medium, altering wavelength and direction while frequency remains constant.OCR
    Refraction in rectangular blocks
    Tracing the incident, internal and emergent rays and measuring angles of incidence and refraction from the normal to verify Snell's law.OCR
    Refractive index
    Defined as n = c/v, the ratio of the speed of light in a vacuum to its speed in the medium; it is dimensionless and always ≥ 1.OCR
    Regular solid
    A solid that has symmetry, so its centre of mass is at its geometric centre.AQA
    Regulation
    What happens once breakdown begins, because small changes in current produce almost no change in voltage.AQA
    Rejection of absolute space and time
    Together the postulates force us to abandon absolute time.AQA
    Relationship between current and drift velocity
    The current is I = nAvq, where n is the number density of charge carriers, A is the cross-sectional area, v is the mean drift velocity and q is the charge on…OCR
    Relationship between half-life and decay constant
    Half-life is related to the decay constant by T½ = ln2/λ.OCR
    Relationship between linear and angular quantities
    The linear speed v is related to the angular velocity ω and the radius r by v = ωr, where v is in m s⁻¹, ω in rad s⁻¹ and r in m.OCR
    Relationship between linear and angular speed
    Since v = ωr, substituting gives a = (ωr)²/r = ω²r, so a = ω²r.OCR
    Relationship between nuclear mass and energy transfer
    Energy transfer is most efficient when the moderator nucleus mass is comparable to the neutron mass, so light nuclei such as hydrogen are effective.AQA
    Relationship between potential difference and separation
    The magnitude of the field strength is given by E = V/d, where d is the plate separation.OCR
    Relationship between radius, volume and density
    Because volume depends on the cube of the radius, substituting R gives V = (4/3)πr₀³A, and since nuclear mass is also approximately proportional to A, the…AQA
    Relationship between timing quantities, speed and radius
    Period and frequency are related to speed v and radius r by the equation v = 2πr/T, so knowing only the period or frequency does not uniquely determine the…OCR
    Relationship between work done and potential energy change
    The area under the graph between two positions equals the change in electric potential energy between those positions.OCR
    Relationship E_p = Vq
    Using E_p = Vq and substituting V = Q/(4πε₀r) gives E_p = Qq/(4πε₀r).OCR
    Relative atomic mass
    The abundance-weighted mean of the isotope masses, calculated as the sum of (isotope abundance × isotope mass) divided by the total abundance.AQA
    Relative hazard
    Alpha is dangerous if inhaled or ingested because it ionises densely over a short range, beta harms skin and eyes, and gamma is highly penetrating and needs…AQA
    Relative intensity
    The comparison of intensity levels in which equal ratios of intensity produce equal differences in decibels, reflecting relative rather than absolute changes.AQA
    Relative motion
    Movement of a source of electromagnetic radiation relative to an observer, with the relative speed taken along the line of sight.OCR
    Relative permittivity
    The dielectric constant of the material, denoted εr, which is dimensionless.OCR
    Relativistic jets
    Jets along the rotation axis into which material from the surrounding accretion disc can be funnelled, emitting intense gamma rays.AQA
    Relativistic jets and magnetic fields
    Magnetic fields produce collimated relativistic jets that emit radio waves via synchrotron radiation.AQA
    Relativistic kinetic energy and the Lorentz factor
    The relativistic expression Eₖ = (γ − 1)mc² fits the experimental data perfectly, while energy increased steeply as v approached c.AQA
    Remote handling
    Needed because spent or irradiated fuel emits intense beta and gamma radiation, so workers use manipulators, lead or concrete flasks and remote cameras.AQA
    Repeatability
    The closeness of repeated readings taken by the same person, using the same method and equipment, over a short time.AQA
    Repeated elution and regrowth
    Because the parent half-life is much longer than the 6-hour daughter half-life, the generator can be milked repeatedly as technetium-99m regrows.AQA
    Replication and reliability
    Independent groups repeat the investigation, which strengthens confidence in a claim.AQA
    Reproducibility
    The closeness of readings when the measurement is repeated by a different person, or with different equipment or conditions.AQA
    Reset input
    Forces all outputs to zero, clearing the count to 0000 regardless of the current state, either asynchronously or synchronously.AQA
    Reset pin
    The input that clears the counter to zero when the decoded signal reaches it.AQA
    Resistance
    Measures how difficult it is for current to flow through a component, defined by R = V/I, where V is the potential difference across the component and I is…OCR
    Resistance as the ratio V/I
    The constant ratio of potential difference to current, giving R = V/I.AQA
    Resistance calculation from coordinates
    Reading the coordinates directly from the graph and using R = V/I, whether the line is curved or straight.AQA
    Resistivity
    Defined by ρ = RA/L, where R is resistance, A is cross-sectional area and L is length, with unit the ohm metre (Ω m).AQA, OCR
    Resolution
    Replaces one vector by two perpendicular vectors whose combined effect is identical, not extra forces but a mathematical replacement.AQA
    Resolution and number of bits
    A group of bits can represent a finite set of values, so more bits increase the number of possible levels or values.AQA
    Resolution and precision
    Identifying the smallest scale division of an instrument and recording the value with a sensible number of significant figures, estimating between divisions…OCR
    Resolution and wavelength
    Resolution is limited by wavelength; a higher frequency shortens wavelength and improves resolution but increases attenuation in tissue, reducing penetration…AQA
    Resolution limits of electron microscopes
    Shorter de Broglie wavelengths allow finer detail to be resolved, though practical electron microscopes use much higher voltages to resolve finer details.AQA
    Resolution limits of microscopes
    Because electrons have a much shorter de Broglie wavelength than visible light, the resolution is far better than an optical microscope.AQA
    Resolution of forces
    The cos θ factor selects the component of force along the displacement, so the force is resolved along the displacement before multiplying.AQA, OCR
    Resolution of vectors
    The reverse process of resolving a single vector into two perpendicular components using sine and cosine.AQA
    Resolution of vectors into perpendicular components
    The initial velocity is resolved into horizontal and vertical components, each direction treated separately.AQA
    Resolved forces
    Splitting every force into perpendicular components, usually horizontal and vertical, then applying ΣFₓ = 0 and ΣF_y = 0.AQA
    Resolving components
    Resolve each vector into perpendicular components, add components, then recombine to find the resultant.AQA
    Resolving power
    Depends on aperture diameter and wavelength, so a radio dish needs a much larger diameter than an optical mirror for the same resolution.AQA
    Resonance
    The condition where the driving frequency equals a natural frequency of the system, giving maximum energy transfer per cycle and a maximum steady-state…AQA, OCR
    Resonance and maximum amplitude
    Occurs when a periodic driving force is applied at a frequency equal to the natural frequency, producing a maximum amplitude of the steady-state oscillation.OCR
    Resonance and natural frequency
    Both systems oscillate at a natural frequency, with the LC circuit's resonant angular frequency ω = 1/√(LC) compared with ω = √(k/m).AQA
    Resonance in LC circuits
    A larger capacitance gives slower oscillations for a given inductance, as a softer spring gives a longer period, with angular frequency ω = 1/√(LC).AQA
    Resonance in mechanical systems
    A mechanical example must identify the driver, the oscillating system, and the natural frequency that is matched or approached.AQA
    Resonance in receiver circuits
    Detection relied on tuning the receiver to the transmitter frequency so that resonance produced detectable sparks.AQA
    Resonant frequency
    The driving frequency that matches a harmonic of the string, identified by observing the largest-amplitude stationary wave with clear nodes and antinodes.AQA
    Resonant frequency f₀
    The frequency at which the response is maximum or minimum, depending on circuit type.AQA
    Resonant peak
    The peak of the curve, occurring at the driving frequency closest to the natural frequency of the oscillator, where the resonant amplitude is large at low…OCR
    Responsible laboratory practice
    Following local rules, such as warning signs and restricted access, and never looking directly into the beam or its reflection.AQA
    Responsivity against wavelength
    The spectral response curve plots responsivity, or photocurrent at fixed irradiance, against wavelength at fixed reverse bias.AQA
    Rest energy
    The energy equivalent of rest mass, calculated using E = mc², and in particle physics it is usually quoted in megaelectronvolts, MeV.AQA
    Rest energy and energetically allowed decays
    The proton has the lowest rest energy of all baryons, so no further baryon decay is energetically possible.AQA
    Rest masses of atomic constituents
    Protons, neutrons and electrons have specific rest masses, handled exclusively in kilograms using the values provided on the data sheet.AQA
    Restoring acceleration
    Acceleration that always acts towards the equilibrium position, shown by the minus sign in the defining equation.OCR
    Restoring force and acceleration towards equilibrium
    Acceleration is opposite in sign to displacement and always points towards the equilibrium position, opposing velocity only when moving away from equilibrium.AQA
    Restoring force and simple harmonic motion
    The capacitor provides the restoring effect that drives oscillations, just as a spring provides the restoring force.AQA
    Resultant force
    The vector sum of all forces acting on an object; if it is non-zero, the object accelerates in its direction.AQA, OCR
    Resultant force and free-body diagrams
    The force in the equation is the resultant of all forces acting on the object, not a single applied force, and a free-body diagram is drawn and forces…OCR
    Resultant force and motion
    A body remains at rest or moves with constant velocity unless acted on by a resultant force, so zero net force means zero acceleration.OCR
    Resultant magnitude and direction
    A single vector with the same effect as the original vectors, stated as a magnitude with unit and a direction relative to a stated reference.AQA
    Resultant torque
    The sum of the moments about any point, which must be zero for equilibrium, with clockwise moments equalling anticlockwise moments.OCR
    Resultant vectors
    The single vector found by combining two or more vectors, taking direction into account.OCR
    Reverse bias
    The condition where the cathode is positive relative to the anode, and the diode blocks until the reverse voltage reaches the Zener voltage.AQA
    Reverse breakdown
    The state in which a Zener diode is normally operated, where the voltage across it stays almost constant even when the current through it changes.AQA
    Reverse breakdown operation
    The Zener is connected in reverse bias, with its cathode to the positive line and anode to the negative line, so it operates in breakdown.AQA
    Reverse-biased p-n junction operation
    A photodiode is operated in reverse bias, so the p-n junction has a wide depletion region and a strong internal field.AQA
    Reversed heat engines
    A heat pump or refrigerator, in which work input moves thermal energy from a cold region to a hot region.AQA
    Reversed temperature axis
    A deliberate convention that places hot blue stars on the left and cool red stars on the right, with temperature decreasing to the right.AQA
    Rhodopsin
    A pigment contained in rods which bleaches in bright light, so rod vision dominates in dim conditions.AQA
    Right-hand grip rule
    The rule giving the field direction: thumb along conventional current, fingers curl in the field direction.OCR
    Rigid rotating body
    A body rotating about a fixed axis for which angular velocity is the same for all points, even though points further from the axis move faster in a…OCR
    Rigid-body rotation
    Because ω is the same for all points on a rigid body, v is proportional to r, so points further from the axis move faster in a straight-line sense.OCR
    Ring of detectors and transmitted intensity
    A ring of detectors surrounds the patient and measures the transmitted X-ray intensity at many angles.OCR
    Risk reduction in practical work
    Never directing a laser beam towards anyone's face, keeping the beam below eye level, removing reflective objects from the beam path and using the lowest…AQA
    Risk–benefit of ionising radiation
    The technique exposes the patient to ionising radiation, so benefit must be weighed against risk.OCR
    Risk–benefit reasoning in applied physics
    Assessment compares risk and benefit for a named use rather than declaring radiation simply good or bad.AQA
    Rod cells
    Highly sensitive in dim light but colour-blind, dominating at low intensity and peaking near 500 nm.AQA
    Role of experimental evidence
    Rutherford's alpha-scattering results showed that positive charge and most mass are concentrated in a tiny nucleus, so the plum-pudding model was replaced.AQA
    Root mean square speed
    The square root of the mean square speed, a representative speed for the particles that is not the same as the average speed.OCR
    Root mean square value
    The steady direct value that would dissipate the same average power in a given resistor.AQA
    Rotating X-tube and fan-shaped beam
    The X-tube rotates around the patient and produces a thin fan-shaped X-ray beam that passes through a narrow slice of the body.OCR
    Rotational equilibrium
    A state in which an object has zero angular acceleration, meaning it is either not turning or rotating at a constant angular velocity.AQA
    Rotational form of Newton's second law
    The resultant torque produces angular acceleration according to T = Iα, the rotational analogue of F = ma.AQA
    Rotational kinetic energy
    Energy stored by a rotating mass, given by Eₖ = ½Iω², so storage increases with moment of inertia and with the square of angular speed.AQA
    Rules for drawing field diagrams
    To map a field, draw lines with arrows showing direction and vary their spacing to show how strength changes with position.OCR
    Rutherford scattering
    Alpha particles are directed at a very thin gold foil inside an evacuated chamber, and a detector records where particles arrive.OCR

    S

    S.I. base quantities
    Mass, length, time, amount of substance, thermodynamic temperature and electric current, each with its associated SI unit.AQA, OCR
    S.I. base unit
    The metre (symbol m) is the S.I.OCR
    S.I. base units
    The seven units including the metre (m), kilogram (kg), second (s), ampere (A), kelvin (K), mole (mol) and candela (cd).OCR
    Safety
    Considered for both patient and operator, including dose, exposure time, need for contrast agents and any non-ionising alternatives.AQA
    Safety applications of impulse
    Increasing the contact time for a given momentum change reduces the force, which is why crumple zones and airbags reduce injury.OCR
    Safety procedures
    Precautions including minimising exposure time, maximising distance and using shielding.OCR
    Sagittarius A*
    The supermassive black hole at the centre of the Milky Way, with a mass of about 4 million solar masses.AQA
    Sampling
    Measures the analogue voltage at regular time intervals, with the sampling rate being the number of samples taken per second, measured in hertz.AQA
    Sampling rate
    The number of samples taken per second, measured in hertz; increasing it reduces the time between samples and allows faster variations to be represented.AQA
    Saturation
    The output voltage is limited by the positive and negative supply rails, so the output clips rather than following the input further.AQA
    Scalar
    Electric potential is a scalar that is positive near a positive charge and negative near a negative charge.AQA
    Scalar addition of potential energy contributions
    Energy is a scalar, so contributions from several charges add algebraically.OCR
    Scalar nature of potential
    Gravitational potential is a scalar quantity, measured in joules per kilogram (J kg⁻¹).AQA, OCR
    Scalar nature of potential and algebraic addition
    Potential is a scalar, so potentials from several charges add algebraically, keeping signs.OCR
    Scalar nature of work
    Work is a scalar quantity measured in joules (J), where 1 J = 1 N m.OCR
    Scalar quantity
    A quantity that has magnitude only, such as mass, time, temperature, speed, distance, energy and power.OCR
    Scale and order of magnitude
    Nuclear radii are of the order of 10⁻¹⁵ m to 10⁻¹⁴ m, commonly quoted in femtometres where 1 fm = 10⁻¹⁵ m.AQA
    Scale and orders of magnitude
    A typical atomic diameter is of the order of 10⁻¹⁰ m, while a typical nuclear diameter is of the order of 10⁻¹⁵ m to 10⁻¹⁴ m.OCR
    Scale and structure of the nucleus
    The constant-density conclusion shows that nuclear material has a constant density, independent of the size of the nucleus.AQA
    Scale drawing
    A method for non-perpendicular vectors: choose a scale, draw each vector tip-to-tail at the correct angle, then measure the resultant length and direction.AQA, OCR
    Scale of the atom
    Atomic radius is typically about 10⁻¹⁰ m, while nuclear radius is about 10⁻¹⁵ m to 10⁻¹⁴ m, so nuclear volume is smaller by a factor of about 10¹⁵.OCR
    Scale selection
    The scale should be chosen so that the data points occupy at least half of the axis length, making the graph easy to read and interpret.OCR
    Schwarzschild radius
    The radius r_s = 2GM/c² obtained by setting the escape velocity greater than c, also called the event horizon.AQA
    Scientific authority
    Newton’s authority and his particle or corpuscular theory dominated for over a century, which delayed acceptance of the wave theory.AQA
    Scientific community
    The collective body that debates and validates a change, so acceptance is social as well as empirical.AQA
    Scientific method and evidence
    Theories are accepted or rejected on the basis of available evidence as well as the standing of their proponents.AQA
    Scientific models
    The Rutherford model and the plum-pudding model, compared using the scattering evidence.AQA
    Scintillation crystal
    A large thallium-doped sodium iodide crystal in which an absorbed gamma photon produces a burst of visible photons proportional to the energy deposited.AQA
    Scintillator
    A layer that absorbs incident X-rays and re-emits visible light photons, acting as a converter between X-ray and optical energy.AQA, OCR
    Scope of the specification
    Questions on internal gate structure are outside the scope of this specification.AQA
    Sealed source
    Radioactive material that is contained so that it does not enter the patient's general circulation.AQA
    Second law of thermodynamics
    It forbids a device that converts a single thermal reservoir entirely into work with no sink, so efficiency is always below 1.AQA
    Secondary maxima
    Features on each side of the central maximum that are narrower and fainter, with intensity decreasing as the order increases so the pattern fades away from…AQA
    Security and interception
    The risk of a medium being tapped or intercepted, a required consideration when comparing media.AQA
    Selection of appropriate equation
    Each form is useful depending on which quantities are known, and choosing the right form avoids unnecessary intermediate calculations.OCR
    Selection of the appropriate equation
    Choose the equation that matches the data and the unknown, since each equation omits one quantity.OCR
    Semiconductor charge-carrier model
    The explanation that heating releases many more charge carriers, so the number density n increases and resistance falls.OCR
    Semiconductor diode
    Conducts easily in forward bias above about 0.6 V, but has very high resistance in reverse bias, giving an asymmetric curve.AQA
    Sensing and switching applications
    Circuits in which a potential divider with a variable component is used, for example a light- or temperature-sensitive output p.d.OCR
    Sensor circuits
    A thermistor acts as a temperature sensor in a potential divider.AQA
    Sensor resistance and physical conditions
    Warm or cool the thermistor, or change the light intensity on the LDR, and record how the sensor resistance and the output voltage change.OCR
    Sensor transduction
    A sensor converts a non-electrical physical quantity, such as temperature, light intensity, strain or pressure, into an electrical signal.AQA
    Sensors in potential divider circuits
    A thermistor or light-dependent resistor can form part of the circuit so that the output p.d.AQA
    Sequential circuits
    Systems such as latches and flip-flops that are analysed by treating each gate as a block with defined behaviour.AQA
    Sequential logic
    Circuit advanced by the clock pulse that the astable supplies.AQA
    Sequential logic circuits
    Circuits that produce outputs depending on present inputs and stored past states, so reading outputs means tracking how each stage changes over time.AQA
    Series and parallel capacitor rules
    The series rule 1/C_total = 1/C₁ + 1/C₂ gives a smaller total capacitance, while the parallel rule C_total = C₁ + C₂ gives a larger total.OCR
    Series and parallel combinations
    For a circuit with a series part and a parallel part, first simplify the parallel section to a single equivalent resistance, then add series resistances.OCR
    Series and parallel connections
    The ways components are joined in a circuit, which you must identify when interpreting a diagram or choosing the diagram that correctly represents a described…OCR
    Series and parallel meter connection
    An ammeter is connected in series, while a voltmeter is connected in parallel.OCR
    Series and parallel p.d.
    In a series circuit the p.d.OCR
    Series and parallel topology
    Reproducing the series and parallel connections shown in the diagram rather than an approximate layout, connecting series paths first and then adding parallel…OCR
    Series circuit potential differences
    In a series circuit the potential differences across the components sum to the supply electromotive force.OCR
    Series circuits and p.d. sharing
    A potential divider consists of two or more components in series across a supply, so the supply p.d.OCR
    Series combination of capacitors
    A connection in which the same charge Q is stored on each capacitor and the potential differences add to the supply p.d.OCR
    Series resistor design
    A series resistor is connected between the input supply and the Zener to limit current and drop the excess voltage.AQA
    Set square
    A tool that helps align a ruler vertically or check right angles, reducing parallax and alignment errors.OCR
    Shared wave behaviours and differing photon energies
    All regions can be reflected, refracted, diffracted, interfere and be polarised, while regions differ in photon energy E = hf and in how they interact with…OCR
    Sharpness of resonance
    A measure of how narrow the peak is, often compared using the width of the curve at a chosen fraction of the peak amplitude.AQA
    Sharpness of resonance in practical contexts
    Damping broadens each resonance, so the stationary-wave response is less sharply tuned to a single driving frequency.AQA
    Shielding
    Thick concrete, water or lead that absorbs gamma radiation and neutrons, reducing dose to workers and the public.AQA
    Short GRBs
    Bursts associated with merging compact objects rather than supergiant collapse.AQA
    Short-range interactions
    The force is short-range, becoming negligible beyond about 3 fm, so only neighbouring nucleons interact strongly.OCR
    SI prefixes
    Scale a unit by powers of ten, and their values must be known and used fluently.AQA
    SI unit of charge
    The coulomb, symbol C, is the SI unit of electric charge.OCR
    SI units
    Resistance in ohms and capacitance in farads are used so that τ is in seconds.AQA
    SI units and conversions
    All quantities should be converted to SI units first, for example converting a velocity given in km h⁻¹ to m s⁻¹ by dividing by 3.6 before using P = Fv.OCR
    SI units and the newton
    All quantities are checked to be in SI units, converting grams to kilograms and so on, and the newton is defined so that 1 N = 1 kg m s⁻².OCR
    SI units and unit consistency
    Speed v is in metres per second (m s⁻¹), frequency f in hertz (Hz), and wavelength λ in metres (m).OCR
    SI units and unit conversion for volume
    Density is in kg m⁻³, mass in kg and volume in m³, converting cm³ by multiplying by 10⁻⁶.OCR
    Sign and direction
    Area below the time axis counts as negative displacement for velocity–time graphs, and speed–time graphs give distance because direction is lost.OCR
    Sign and direction in energy calculations
    If θ = 180°, cos 180° = −1, so W = −Fx, meaning energy is transferred away from the object.OCR
    Sign and direction in motion graphs
    The sign of the gradient of a displacement–time graph is included in the velocity, and a velocity–time graph that crosses the time axis shows a change of…AQA
    Sign and direction of potential change
    The sign of the potential difference indicates the direction of potential change between the two points.AQA
    Sign convention for like and unlike charges
    Like charges give positive potential energy that decreases as r increases, while unlike charges give negative potential energy that becomes more negative as r…OCR
    Sign convention for positive and negative charges
    A positive Q gives positive V; a negative Q gives negative V.OCR
    Sign conventions and the zero of potential at infinity
    Gravitational potential is negative because the zero is defined at infinity, and V is always negative and rises towards zero as 1/r.AQA
    Sign conventions and units
    Define a positive direction consistently, assign the sign of g according to the chosen positive direction, and always check units and the sign of each vector.OCR
    Sign conventions for expansion and compression
    For expansion the gas does work on the surroundings and the area is positive; for compression work is done on the gas and the area is negative relative to…AQA
    Sign conventions in loop analysis
    A loop direction is chosen and electromotive forces and potential differences are treated consistently, so their algebraic sum around the loop is zero.OCR
    Sign conventions in one dimension
    Area below the time axis represents negative impulse, reducing momentum in the chosen positive direction, so those areas are subtracted.OCR
    Sign conventions in projectile calculations
    Consistent signs are used for upward and downward quantities, taking care with the sign of g.AQA
    Signal detection and computer image reconstruction
    Excited protons emit RF signals as they de-excite, these signals are detected by a receiver coil, and a computer processes them to reconstruct a visual image.AQA
    Signal processing and noise reduction
    The machine must reject common-mode noise and have a high input impedance, with a time base and display producing a voltage–time trace.AQA
    Simple (coherent) scatter
    A photon is redirected with negligible energy change, contributing little to attenuation.OCR
    Simple harmonic motion
    Oscillatory motion where the acceleration is directly proportional to displacement from equilibrium and always directed towards that equilibrium point,…AQA, OCR
    Simple harmonic motion analogy
    The inductor behaves like the inertial mass and the capacitor like the spring, with current the analogue of velocity and charge the analogue of displacement.AQA
    Simultaneous equations in circuit analysis
    Assign a current direction to each branch, write loop equations using the e.m.f.s and the p.d.s across resistors, and solve the simultaneous equations.OCR
    sin C = 1/n
    At the critical angle, n sin C = 1 × sin 90° = 1, giving sin C = 1/n where n is the refractive index of the denser medium relative to the less dense medium.OCR
    Sine form
    The solution x = A sin(ωt), which starts at equilibrium moving in the positive direction.OCR
    Single-slit diffraction
    Light spreads after passing through one narrow slit, forming a central maximum with weaker side maxima.AQA
    Sink
    The cold reservoir that receives rejected energy Q_C at lower temperature T_C.AQA
    Sinusoidal description of oscillations
    A description of an oscillation such as x = A cos(ωt) or x = A sin(ωt), to which angular frequency links the time description.OCR
    Sinusoidal waveforms
    The relationships V_rms = V₀/√2 and I_rms = I₀/√2 apply only to these; other waveforms need their own rms calculation.AQA
    Slew rate
    A limit on how quickly the output voltage can change, causing distortion of fast or large signals.AQA
    Slit separation
    The centre-to-centre distance s between the two slits, used in w = λD / s and not to be confused with the width of one slit.AQA
    Slit spacing
    The spacing d between adjacent slits, which with the diffraction angle θ and wavelength λ gives the grating equation.AQA
    Slit width and diffraction spreading
    For a given wavelength, increasing the slit width makes the central maximum narrower, so a wider slit gives a tighter pattern.AQA
    Small-angle approximation
    The condition that is part of the model, because at large amplitudes a real pendulum departs from simple harmonic motion and its period begins to increase.AQA, OCR
    Smoke particles as visible evidence for molecular motion
    The smoke particles are much larger than the air molecules, so their motion provides evidence for the random motion of the invisible molecules rather than…OCR
    Smoothing
    Absorbing energy when the driving torque exceeds the load and releasing it when the load exceeds the drive, so output speed varies less.AQA
    Smoothing of motion
    A flywheel reduces speed fluctuations during each cycle, keeping the crankshaft turning between power strokes in a vehicle.AQA
    Software to process data
    Software such as a spreadsheet used to process and analyse data, including calculating derived quantities, plotting graphs and identifying trends.OCR
    Solar system
    A star together with the planets, satellites, comets and other bodies gravitationally bound to it.OCR
    Solid
    Particles closely spaced and arranged in a regular, ordered lattice, vibrating about fixed mean positions rather than moving from place to place.OCR
    Sound intensity level
    A quantity in dB given by 10 log₁₀(I / I₀), where I₀ is 1 × 10⁻¹² W m⁻².AQA
    Sound stationary waves
    A loudspeaker facing a hard surface or a resonance tube creates them, and nodes and antinodes in air can be located using a microphone or by resonance.AQA
    Source
    The terminal from which charge carriers enter the channel; in an n-channel device electrons flow from source to drain.AQA
    Spacing
    How far apart the atoms or molecules are, which is close together in solids and liquids but far apart in gases.OCR
    Spatial encoding using gradient fields
    Gradient field coils superimpose small position-dependent fields so that the precession frequency differs between small regions of the patient.AQA
    Spatial resolution
    The smallest separation between two points that the eye can distinguish as separate.AQA
    Specific charge
    Charge divided by mass, with units C kg⁻¹.AQA
    Specific charge calculations
    Calculations of the specific charge of ions and nuclei use mass values strictly in kilograms, avoiding the atomic mass unit until Year 2.AQA
    Specific heat capacity
    The energy needed per unit mass per unit temperature change, linking energy transfer to temperature change for a fixed mass with no phase change.AQA, OCR
    Specific latent heat
    Used in ΔE = mL when a substance changes state at constant temperature, where L is specific latent heat.AQA
    Specific latent heat of fusion
    The energy needed to change unit mass of a substance from solid to liquid at its melting point without a change in temperature.OCR
    Specific latent heat of vaporisation
    The energy needed to change unit mass from liquid to vapour at its boiling point without a change in temperature.OCR
    Specimen preparation and vacuum requirements
    The specimen must be extremely thin so electrons can transmit through it, and the whole column is evacuated so electrons are not scattered by air.AQA
    spectral class
    A labelling of the horizontal axis as OBAFGKM, where O is hottest on the left and M is coolest on the right, matching the temperature axis.AQA
    Spectral fingerprint
    The characteristic pattern of spectral lines produced by the unique set of photon energies an element can emit or absorb.OCR
    Spectral response
    Chosen so it matches the wavelength of the optical source, for example a silicon photodiode for near-infrared or visible light.AQA
    Spectroscopic evidence
    The pattern of lines, such as the Balmer series in hydrogen, can be used to deduce the energy level spacings.AQA
    Spectroscopy and spectral analysis
    Using a grating to separate light into a spectrum so that its component wavelengths can be analysed.AQA
    Spectroscopy as a remote sensing tool
    Recording the spectrum of a star and matching the wavelengths of the lines present against laboratory spectra of known elements, revealing composition without…OCR
    Spectrum
    The component wavelengths of light separated by a grating, which can then be analysed.AQA
    Spectrum ordering by wavelength and frequency
    The spectrum order from longest to shortest wavelength is radio, microwave, infrared, visible, ultraviolet, X-ray, gamma.OCR
    Spherical aberration
    Arises when a spherical mirror brings marginal rays to a different focus from paraxial rays.AQA
    Spherical component
    The power that corrects the refractive error in one principal meridian, given in DS in standard notation.AQA
    Spherical symmetry and equivalent point charge
    For a uniformly charged sphere, charge may be considered to be at the centre, so it can be treated as a point charge for external points.AQA
    Spontaneity of radioactive decay
    The decay is not triggered by external factors such as temperature, pressure or chemical state, and cannot be predicted or controlled.OCR
    Spread
    The scatter of the repeats, used to judge whether a value is genuinely anomalous.OCR
    Spreadsheet simulations
    Applying the iterative calculation row by row for successive time intervals to generate a decay curve.OCR
    Spring constant
    The constant of proportionality k, defined by F = k∆L, where ∆L is the extension; a stiffer spring has a larger k.AQA, OCR
    standard candles
    Type 1a supernovae have a standardised peak luminosity, so comparing observed peak brightness with known absolute magnitude allows distance estimation for…AQA
    Standard circuit symbols
    The standardised shorthand used to draw electrical circuits, which you must recognise and reproduce for named components.OCR
    Standard form
    Written as a × 10ⁿ, where 1 ≤ a < 10, keeping very large and very small values readable and reducing place-value errors.AQA
    Standard SI units in atomic physics
    Calculations involving specific charge or basic mass comparisons at this stage should rely on standard SI units, with masses handled in kilograms.AQA
    Standard truth tables of logic gates
    The standard truth table of each gate is used as its definition when analysing or building circuits.AQA
    Stationary wave
    A pattern formed when two waves of the same frequency travelling in opposite directions superpose, with nodes and antinodes in fixed positions.AQA
    Stationary wave formation
    A stationary wave forms when two progressive waves of the same frequency and similar amplitude travel in opposite directions through the same medium.OCR
    Stationary wave on a string
    Forms when two identical progressive waves travelling in opposite directions superpose, with each end of a string fixed at both ends being a node.AQA
    Stationary waves
    Formed by the superposition of two progressive waves of the same frequency travelling in opposite directions.OCR
    Stationary waves and boundary conditions
    In tubes, the resonant frequencies depend on whether the ends are open or closed, because the boundary conditions determine the allowed stationary-wave…AQA
    Stationary waves on strings
    A wave reflects at a fixed end and interferes with the incident wave, with nodes at fixed ends and antinodes at free positions, and the string can vibrate in…AQA
    Statistical behaviour of large samples
    The simulation shows decay is random for individual nuclei but predictable in the statistical behaviour of a large sample.OCR
    Steady-state conditions
    Conditions where a temperature difference is maintained by a continuous energy input, so a continuous net energy flow occurs.OCR
    Stefan constant
    The constant σ in Stefan's law, which cancels along with 4π when a ratio is formed for two stars.AQA, OCR
    Stefan's law
    A black body radiates power P = σAT⁴, where σ is the Stefan constant, A is surface area and T is absolute temperature in kelvin.AQA, OCR
    Stellar composition and absorption spectra
    Absorption lines form when cooler gas in the star's atmosphere absorbs specific wavelengths from the continuous spectrum beneath, so comparing line patterns…OCR
    Stellar evolution
    The path of a star similar to our Sun on the HR diagram from formation to white dwarf.AQA
    Stellar parallax
    The apparent shift in a nearby star's position against more distant background stars as the Earth moves from one side of its orbit to the other.OCR
    Step-index optical fibre
    A core of higher refractive index surrounded by cladding of lower refractive index, with an abrupt change of index at the core–cladding boundary.AQA
    Step-up transformer
    A transformer with more secondary turns, which raises voltage while lowering current.OCR
    Stokes’ Law
    The viscous force on a small sphere is F = 6πηrv, where η is the fluid viscosity, r is the sphere radius and v is the speed.AQA
    Stopping distance
    The total distance a vehicle travels from the moment the driver needs to stop until it is at rest, being the sum of thinking distance and braking distance.OCR
    Stopping potential
    The reverse potential difference that just prevents the fastest emitted electrons from reaching the collector, making the photocurrent zero.AQA
    Straight conductor in a magnetic field
    The BLv result follows because the conductor sweeps area at rate Lv, so the rate of change of flux linkage is B × Lv for a single conductor.AQA
    Strain
    The fractional change in length, ε = x/L, where x is the extension and L the original length; it has no unit.OCR
    Strange particles
    Particles that are produced through the strong interaction and decay through the weak interaction, for example kaons.AQA
    Strange quark
    Carries s = −1, while a strange antiquark carries s = +1.AQA
    Strangeness
    A quantum number, symbol s, invented to explain why certain particles such as kaons and hyperons appear only in pairs when produced.AQA
    Strangeness and conservation laws
    Strangeness is conserved in strong interactions, but in the weak interaction it is not conserved.AQA
    Strangeness and the weak interaction
    Strangeness is conserved in strong and electromagnetic interactions but may change in weak interactions.AQA
    Strangeness of nucleons
    Neither the proton nor the neutron contains a strange quark, so both have strangeness 0.OCR
    Streamlining and shape
    A streamlined shape reduces drag compared with a blunt shape because it affects how smoothly air flows around the object.OCR
    Stress
    The force acting per unit cross-sectional area, σ = F/A, measured in pascals (Pa), where 1 Pa = 1 N m⁻².OCR
    Stress, strain and the Young modulus
    The Young modulus is found from E = kL/A using the gradient, or from E = FL/(AΔL) from a single consistent set of readings.OCR
    Strong interaction
    The interaction through which strange particles are produced, where strangeness is conserved.AQA
    Strong interactions
    These act on quarks and cannot change a strange quark into a non-strange quark or create a strange quark without its antiquark.AQA
    Strong nuclear force
    Acts between nucleons and holds the nucleus together against electrostatic repulsion between protons, being much stronger than the electrostatic force at…AQA, OCR
    Structure of the atom
    A small, dense, positively charged nucleus containing protons and neutrons, surrounded by electrons, with nearly all the mass in the nucleus but nearly all…AQA
    Sum-of-products
    Each row giving output 1 contributes a product term, and the expression is the OR of those terms.AQA
    Superconductivity
    A property of certain materials which have zero resistivity at and below a critical temperature which depends on the material.AQA
    Supermassive black holes
    Objects with masses of millions to billions of solar masses that reside at the centres of most large galaxies, including the Milky Way.AQA
    Supernova
    An event showing a rapid increase in absolute magnitude, meaning the absolute magnitude becomes more negative over a short time.AQA, OCR
    Superposition
    The overlapping of waves from the two slits at the screen, which the fringe pattern is evidence for.AQA
    Superposition of fields
    Between two masses the pattern shows attraction, and the resultant field direction at a point can be interpreted.AQA
    Superposition of fields from multiple charges
    The resultant field at a point is the vector sum of the fields due to each source charge.OCR
    Superposition of oppositely travelling waves
    A stationary wave forms when two progressive waves of the same frequency and similar amplitude travel in opposite directions through the same medium and…OCR
    Superposition of waves
    Displacements of two waves add at every point.AQA
    Surface potential barrier
    Barrier by which electrons that are free from individual atoms remain bound within the metal.AQA
    Surface temperature axis
    The horizontal axis spanning roughly 50 000 K on the left down to about 2 500 K on the right, so the scale is reversed compared with a normal graph.AQA
    Synchronisation
    Transmitter and receiver must stay synchronised so that samples are not sent to the wrong destination.AQA
    Synchronous orbit
    An orbit whose orbital period equals the rotation period of the body it orbits, so the satellite returns to the same position in the sky after each rotation.AQA
    Synchrotron and thermal radiation
    The hot accretion disc radiates thermal emission across visible, UV and X-ray bands, while magnetic fields produce relativistic jets that emit radio waves via…AQA
    Systematic checking before powering a circuit
    Checking that the circuit is complete and correctly connected, and confirming the supply voltage suits the components, before switching on the supply.OCR
    Systematic errors
    Consistent shifts of all readings from the true value, caused by apparatus faults such as a zero error, miscalibration or a flawed technique like parallax.AQA, OCR

    T

    Tachometer
    Measures the rotational speed of a shaft or wheel, typically in revolutions per minute (rpm).AQA
    Tangent
    Drawn at the required point, with two well-separated points read on it to calculate the gradient rather than using two data points on a curve.AQA, OCR
    Tangential direction of velocity
    The direction of v is always tangent to the circle.OCR
    Tangential motion when force is removed
    If the centripetal force is removed, the object moves in a straight line tangent to the circle.AQA
    Technetium-99m
    A metastable excited state of technetium-99 that decays by gamma emission with a half-life of about six hours and is used as a medical tracer.AQA
    Technetium–99m
    A tracer that emits gamma radiation, has a half-life of about 6 hours, and can be attached to many pharmaceuticals that target specific organs.OCR
    Temperature
    A measure of mean random kinetic energy, so a constant temperature confirms kinetic energy is unchanged.AQA
    Temperature and average kinetic energy
    The model links temperature to the average kinetic energy of the particles.OCR
    Temperature and resistance
    In a metal conductor, heating increases lattice ion vibration, so electrons collide more often and resistance rises; in a negative temperature coefficient…AQA
    Temperature as a measure of internal energy
    Internal energy depends only on the temperature and on the number of molecules, not on the type of gas, so doubling the thermodynamic temperature of a fixed…OCR
    Temperature change
    Denoted by ∆θ, it is the difference between final and initial temperature, in kelvin or degrees Celsius, not a single reading.AQA
    Temperature dependence of conductivity
    In semiconductors n rises steeply with temperature as more electrons are freed, so resistance falls, while in metals n is approximately constant with…OCR
    Temperature dependence of resistance
    A filament lamp's resistance rises as it heats with increasing current, whereas a thermistor's resistance falls as temperature rises.AQA, OCR
    Temperature dependence of resistivity
    In a metal, increasing temperature makes the lattice ions vibrate more, so conduction electrons collide more often and resistivity increases; in a…OCR
    Temperature rise and energy transfer
    A rise in temperature increases the average random kinetic energy of the particles, so the internal energy of the body increases.OCR
    Temperature sensing
    Using a thermistor whose resistance changes predictably with temperature so that it can act as a sensor in a circuit.AQA
    Temporary versus continuous energy supply
    A capacitor is a temporary store, not a source of continuous power, because it discharges as charge is removed, so its voltage falls.OCR
    Tensile deformation
    Occurs when forces stretch the material, producing an extension, which is an increase in length.OCR
    Tensile strain
    The fractional extension ε = ΔL/L, where ΔL is the extension and L the original length; it is dimensionless, though it may be quoted as a percentage.AQA, OCR
    Tensile stress
    The force F applied perpendicular to a specimen's cross-sectional area A, so σ = F/A, measured in pascals (Pa), where 1 Pa = 1 N m⁻².AQA, OCR
    Tension
    A pulling force transmitted through a string, rope or cable when it is stretched.OCR
    Terminal potential difference
    The energy transferred per unit charge by the source to the external circuit, which is less than the e.m.f.AQA, OCR
    Terminal potential difference and lost volts
    The terminal potential difference V is the p.d.OCR
    Terminal speed
    Reached when a falling object's drag force grows until it balances the object's weight, so the resultant force and the acceleration are zero.AQA
    Terminal velocity
    A constant maximum speed reached when drag equals weight and the resultant force is zero.OCR
    Terminal velocity and force balance
    Without the electric field, the droplet falls at terminal speed when the resultant force is zero, with weight balanced by viscous drag and upthrust ignored.AQA
    Test bodies and field direction
    The direction of the vector represents the direction of the force on a suitable test body, such as a positive test charge or a compass needle.AQA
    The aether and the medium for light
    The wave theory appeared to require a medium, the aether, whose properties were uncertain.AQA
    The collaborative nature of modern science
    Particle physics relies on large teams of scientists and engineers working together over long periods, with shared expertise, funding and international…AQA
    The effect of damping on the resonant peak
    Lighter damping gives a taller, narrower peak, while heavier damping gives a lower, broader one.OCR
    The electronvolt as an energy unit
    An energy unit where 1 eV = 1.60 × 10⁻¹⁹ J, and energy in eV must be converted to joules before calculating.OCR
    The equation R = ρL/A
    Relates resistance in ohms to length in metres and cross-sectional area in square metres, and rearranges to ρ = RA/L.OCR
    The joule
    One joule is the work done when a force of one newton moves an object one metre in the direction of the force, so 1 J = 1 N m.OCR
    The minus sign in the induction equation
    In E = −N ΔΦ/Δt it expresses Lenz's law and indicates the opposing direction of the induced e.m.f.OCR
    The role of engineering in experimental physics
    Engineers design and maintain accelerators, detectors, magnets, vacuum systems and data-handling equipment, contributing precision components and computing…AQA
    The volt
    The unit in which e.m.f.OCR
    The volt as joules per coulomb
    Because 1 V = 1 J C⁻¹, the product of volts and coulombs is joules.OCR
    The wave equation linking speed, frequency and wavelength
    Measured wave quantities are related using the wave equation, with frequency in hertz and wavelength in metres.OCR
    Theory change in physics
    The particle model was not displaced until decisive evidence for interference and diffraction was performed and understood.AQA
    Thermal energy transferred
    Denoted by Q and measured in joules, it is found from Q = mc∆θ when a substance changes temperature without changing state.AQA
    Thermal equilibrium
    The state reached when two or more objects in thermal contact have no net transfer of thermal energy between them, their temperatures being equal.OCR
    Thermal management in X-ray tubes
    The anode rotates so the electron beam strikes a moving area, preventing local overheating and allowing a higher tube current and continuous operation.AQA
    Thermal neutrons and moderation
    Fast neutrons must be slowed by a moderator, for example graphite or water, to become thermal neutrons with energies comparable to the thermal motion of…AQA
    Thermal store
    The store to which friction and air resistance transfer some energy, so real speeds and heights are lower than ideal calculations predict.AQA
    Thermionic emission
    The release of electrons from the surface of a filament when it is heated by a low-voltage supply.AQA, OCR
    Thermionic emission and electron acceleration
    Electrons are emitted from a heated cathode by thermionic emission and accelerated by a high potential difference towards the anode.OCR
    thermistor
    A component whose resistance falls as temperature rises, so in a divider its output p.d.AQA, OCR
    Thermistors in sensing circuits
    Because the change is large and reproducible, NTC thermistors are used as temperature sensors and in potential-divider circuits.OCR
    Thermodynamic temperature
    The temperature used in the gas laws, measured in kelvin, where T/K = θ/°C + 273.AQA
    Thin lens equation
    1/f = 1/u + 1/v, used with v fixed near 2.5 cm to show how f must change as u changes.AQA
    Thinking distance
    The distance travelled during the driver's reaction time, before the brakes are applied; it equals speed multiplied by reaction time.OCR
    Three-dimensional image reconstruction
    The computer collects many coincidence events and reconstructs a three-dimensional image of tracer concentration.OCR
    Threshold frequency
    The minimum frequency of the radiation, depending on the metal, at or above which emission occurs; below it no emission occurs however intense the radiation is.AQA, OCR
    Threshold of hearing
    The lowest equal loudness curve, most sensitive around 2–5 kHz and rising sharply at low and high frequencies.AQA
    Threshold voltage
    The gate-source voltage above which electrons are attracted to the surface, forming an induced n-channel that connects source and drain.AQA, OCR
    Threshold voltage of an LED
    The voltage at which the LED just begins to emit light or conduct appreciably, so that the minimum energy supplied per electron is eV.OCR
    Threshold wavelength
    The corresponding wavelength, given by λ₀ = c/f₀ = hc/φ.OCR
    Time and the second
    Time is an S.I.OCR
    Time constant
    The product of resistance and capacitance, τ = RC, equal to the time for charge, potential difference or current to fall to 1/e of its initial value during…AQA, OCR
    Time constant and component choice
    A resistor and capacitor are chosen so that τ = RC is long enough to observe.OCR
    Time constant τ = RC
    The time for charge or current to fall to 1/e of its starting value, about 37%, found by multiplying resistance in ohms by capacitance in farads.OCR
    Time dilation
    A consequence of special relativity in which a moving clock runs slow relative to the observer, becoming significant only when v is an appreciable fraction of…AQA
    Time slots
    Short, repeating slices of time in which each signal is allocated the whole channel.AQA
    Time-base
    The control that sets the horizontal scale, so the horizontal width of one cycle in divisions multiplied by the time-base gives the period.OCR
    Time, distance and shielding
    Principles used for staff and patient safety, plus monitoring and controlled handling of the source.AQA
    Timebase control
    Sets the horizontal sweep speed in time per division, so it controls the time scale of the display.AQA
    Timing circuits
    The resistor and capacitor in the timing network set the frequency, so changing them changes the clock rate.AQA
    Timing diagram
    A drawing in which each clock pulse is labelled, the state of every flip-flop after each active edge is marked, and combinational gates are then evaluated.AQA
    Timing over multiple oscillations
    Measuring the total time for multiple oscillations and dividing by the number of oscillations to reduce the effect of reaction time.OCR
    Tip-to-tail addition
    A method for non-perpendicular vectors in which the vectors are drawn tip-to-tail and the cosine rule or a scale drawing is used.OCR
    Tip-to-tail method
    Placing the second vector starting from the tip of the first, preserving each vector's direction.OCR
    Torque
    Measures the turning effect of a force about an axis, given by T = Fr, where r is the perpendicular distance from the axis to the line of action.AQA
    Torque and its unit
    A pure turning effect whose unit is the newton metre (N m), the same unit as moment.OCR
    Torque of a couple
    The product of one of the forces and the perpendicular distance between the lines of action of the two forces, given by torque = Fd.OCR
    Total energy output
    Found using E = P t, with power in watts and time converted to seconds, giving roughly 1.2 × 10⁴⁴ J for the Sun over its lifetime.AQA
    Total input energy
    The total energy supplied to the system, including energy eventually dissipated as heat or sound.OCR
    Total internal energy
    For N atoms, U = (3/2)NkT, which also equals (3/2)nRT for n moles.AQA
    Total internal reflection
    Occurs when light travels towards a less optically dense medium and the angle of incidence exceeds C, so no light refracts out and all the light is reflected…AQA, OCR
    Total internal reflection in semi-circular blocks
    Directing the ray into the curved face along a radius so it hits the exact centre of the flat face, then increasing the angle of incidence beyond the critical…OCR
    Total mass
    Doubling the mass while keeping the distribution the same doubles the moment of inertia.AQA
    Tracer
    A substance taken up by an organ whose emitted gamma photons are detected outside the body, and which must be non-toxic and have a known biological pathway.AQA
    Tracking mount
    Used by both telescopes to follow a source across the sky.AQA
    Transducer damping and coupling
    A backing material damps vibrations so the pulse is short, and gel couples the transducer to skin to reduce reflection at the air boundary.AQA
    Transducer stages
    Convert between electrical signals and radiated waves or sound, as at the input and output of the system.AQA
    Transformer action and turns ratio
    Alternating current in the primary coil produces a changing magnetic flux in the core, which links the secondary coil and induces an alternating e.m.f.OCR
    Transformer action in the national grid
    Transformers step up voltage for transmission and step down voltage for safe domestic use.AQA
    Transit depth
    A quantity that relates approximately to the square of the ratio of planet radius to star radius, so a deeper transit indicates a larger planet relative to…AQA
    Transit method
    A detection technique in which a small, regular decrease in the star's apparent brightness is detected when the planet passes across the stellar disc.AQA
    Transmission diffraction grating
    Consists of many equally spaced parallel slits, through which monochromatic light passes to produce sharp maxima.OCR
    Transmitting aerial
    Emits an electromagnetic wave whose electric field oscillates along the aerial's direction.AQA
    Transparent medium
    The intervening space is empty, with no absorption or scattering, so that all emitted radiation reaches the observer.AQA
    Transverse
    Describes a wave in which the oscillations are perpendicular to the direction of energy transfer, as with electromagnetic waves and waves on a string.AQA
    Transverse wave
    A wave in which the oscillations are perpendicular to the direction of energy travel, for example a wave on a string or an electromagnetic wave.AQA, OCR
    Transverse wave nature
    Electromagnetic waves are transverse oscillations of electric and magnetic fields and do not require a medium.OCR
    Triangle of forces
    The representation of three forces in magnitude and direction by the sides of a closed triangle, taken in order.OCR
    Trigonometry
    Used to project a vector onto each axis, giving F cos θ along the axis and F sin θ perpendicular to it.AQA
    Trigonometry in physical problems
    Using sine rule, cosine rule or right-angled trigonometry on the closed triangle to determine an unknown force or angle.AQA
    Triple point of water
    A fixed point on the scale, defined as 273.16 K.OCR
    Truth table
    Lists every input combination and the resulting output, so it defines a circuit's behaviour completely.AQA
    Truth tables
    Tables that list the output of each basic gate for all input combinations, and can be constructed and completed for circuits containing several gates.AQA
    Turning effect of forces
    The moment of a force about a point is the turning effect of that force, calculated as the product of the force and the perpendicular distance from the point…AQA
    Turning effect without translation
    A couple tends to rotate a body without translating it because the vector sum of the equal and opposite forces is zero.AQA
    Two-source interference
    Coherent light passes through two narrow slits separated by a small distance a and falls on a screen a distance D away, producing an interference pattern.OCR
    Types of field
    Electric fields act on charge, magnetic fields on moving charges or magnetic poles, and nuclear fields on nucleons.OCR

    U

    Ultimate tensile strength
    The maximum stress a material can withstand before it breaks when being stretched.OCR
    Ultimate tensile stress
    The maximum stress the material can withstand before necking, distinct from the stress at which it fractures.AQA
    Ultrasound
    A longitudinal wave with a frequency greater than 20 kHz, the upper limit of normal human hearing.OCR
    Ultrasound transducer
    A device that emits and receives ultrasound, containing a piezoelectric crystal such as quartz or lead zirconate titanate.OCR
    Ultraviolet catastrophe
    The classical prediction that intensity rises without limit as wavelength decreases, implying infinite energy emission in the ultraviolet region.AQA
    Uncertainties and improvements
    Repeat readings, use a wide range of values, allow thermal equilibrium, avoid parallax when reading volume, and consider the dead volume in tubing or syringe.AQA
    Uncertainty reduction and repeat readings
    The mean diameter from readings at several places and orientations gives the cross-sectional area, and the wire is tapped to remove kinks.OCR
    Uneven collisions and resultant random forces
    Air molecules move rapidly and randomly and collide unevenly with the much larger smoke particles, so the resultant force on a smoke particle changes randomly…OCR
    Uniform acceleration
    Shown by a straight line on a velocity–time graph, and by a parabolic curve on a displacement–time graph.AQA
    Uniform acceleration in a gravitational field
    The only force after launch is weight, producing a vertical acceleration of constant magnitude g, while the horizontal acceleration is zero.AQA
    Uniform and non-uniform acceleration
    A straight sloping velocity–time line means uniform acceleration, a horizontal line means zero acceleration, and a curve means non-uniform acceleration.AQA
    Uniform and radial fields
    Between oppositely charged parallel plates the lines are straight, parallel and equally spaced, representing a uniform field, while near an isolated point…AQA
    Uniform electric field
    A field in which the electric force on a charged particle is constant, so the acceleration is constant.OCR
    Uniform electric fields
    The field between parallel plates, related to the potential difference V and plate separation d by E = V/d.AQA
    Uniform field
    Between parallel plates, given by E = V/d, where V is the potential difference across the plates and d is their separation.AQA
    Uniform field inside a solenoid
    A long solenoid produces a strong, nearly uniform field inside along its axis.OCR
    Uniform gravitational field
    A field in which g is constant over the height moved, such as near the Earth's surface.OCR
    Uniform gravitational field near the Earth's surface
    Close to the Earth's surface, over distances small compared with the Earth's radius, the gravitational field strength is effectively uniform: its magnitude…OCR
    Uniform solid
    A solid that has the same density throughout its volume.AQA
    Uniform sphere interior fields and potentials
    Inside a uniform sphere the magnitude of g is proportional to r and reaches zero at the centre, while V is finite and becomes more negative towards the centre.AQA
    Unit analysis
    A check on the meaning of a gradient or area, since the gradient's unit is the vertical unit divided by the horizontal unit and the area's unit is the product…AQA
    Unit consistency in the Wien constant
    The constant 2.9 × 10⁻³ has units of metre kelvin, so λmax must be in metres and T in kelvin.OCR
    Unit consistency: Wb s⁻¹ equals V
    The unit of ΔΦ/Δt is Wb s⁻¹, which is equivalent to the volt.OCR
    Unit conversion
    To convert a length from kilometres to metres, multiply by 1000, or equivalently multiply by 10³; to convert metres to kilometres, divide by 1000.AQA, OCR
    Unit conversion and prefixes
    Prefixed values are converted to base units before substituting, such as 25 cm to 0.25 m or 2.5 kJ to 2500 J.AQA
    Unit conversion between astronomical and SI units
    Because 1 Mpc = 3.09 × 10¹⁹ km, dividing km s⁻¹ Mpc⁻¹ by 3.09 × 10¹⁹ km cancels the km and gives s⁻¹.OCR
    Unit conversion between atomic-scale and SI units
    Multiplying by 1.60 × 10⁻¹⁹ changes eV to J and dividing changes J to eV, so the result can be expressed in eV or J as required.AQA
    Unit conversion between parsecs, light-years and metres
    Multiply parsecs by 3.26 to get light-years, or multiply light-years by 0.307 to get parsecs; one parsec equals about 3.09 × 10¹⁶ m.OCR
    Unit conversion in calculations
    Convert all quantities to base units before substituting, then present the answer with a sensible prefix.AQA
    Unit conversion in cosmology
    Multiplying the number of AU or ly by the appropriate metre value to convert the distance to metres.OCR
    Unit conversion in spectroscopy calculations
    Convert nanometres to metres before substituting, multiplying by 10⁻⁹.OCR
    Unit conversion of time
    Convert minutes to seconds by multiplying by 60 before substituting, since seconds give joules while hours give watt-hours.OCR
    Unit conversions
    Charge is often expressed in coulombs, and units such as millicoulombs (1 mC = 1 × 10⁻³ C) or microcoulombs (1 μC = 1 × 10⁻⁶ C) must be converted when…OCR
    Unit of flux linkage
    The weber-turn (Wb-turn), though often quoted in webers (Wb) because N is dimensionless.AQA
    Unit of resistivity
    The ohm metre (Ω m), obtained from Ω × m² / m.OCR
    Unit prefixes and conversions
    Capacitance values may be given in microfarads (1 μF = 1 × 10⁻⁶ F), nanofarads (1 nF = 1 × 10⁻⁹ F) or picofarads (1 pF = 1 × 10⁻¹² F).OCR
    Units and conversions
    Mass must be in kilograms and Δθ is the temperature change in kelvin or degrees Celsius, where a temperature difference in kelvin equals the same difference…OCR
    Units and dimensions
    The SI unit is N kg⁻¹, equivalent to m s⁻².OCR
    Units and unit conversion in cosmology
    H₀ must be converted from km s⁻¹ Mpc⁻¹ into SI of s⁻¹ using 1 Mpc = 3.09 × 10²² m before inverting.OCR
    Units of field strength
    The unit is newtons per coulomb, N C⁻¹, which is equivalent to volts per metre, V m⁻¹.OCR
    Units of impulse
    The SI unit of impulse is N s, equivalent to kg m s⁻¹.OCR
    Units of the time constant
    Because 1 F × 1 Ω = 1 s, the product CR has units of seconds.OCR
    Universal attraction between all matter
    Gravity is an attractive force that acts between all matter, anywhere in the universe, from atoms to galaxies.AQA
    Universal laws
    The same physical principles apply throughout space and time, allowing astronomers to interpret distant spectra and light curves using laboratory physics.OCR
    Unpolarised transverse wave
    A wave whose oscillation direction is randomly distributed around the line of travel, so every perpendicular plane contains oscillations.AQA
    Unstable nucleus
    A nucleus with an imbalance of protons and neutrons, or too much energy, that decays randomly to become more stable.AQA
    Up-link
    The link from Earth to satellite, which uses a different carrier frequency from the down-link.AQA
    Up/down input
    Selects the direction of counting: at one logic level the counter increments, and at the other level it decrements.AQA
    Uplink and downlink
    A signal is sent from an Earth station to a satellite, amplified and retransmitted on a different frequency to avoid interference.AQA
    upper estimate
    A value that overestimates the radius because the point-charge and strong-force approximations are ignored and the alpha never touches the nuclear surface.AQA
    Upper limit for the nuclear radius
    The calculated distance of closest approach, which is an upper limit because the alpha particle does not penetrate the nucleus.AQA
    Upthrust
    A force acting upwards through the fluid, which together with drag balances weight at terminal velocity.AQA, OCR
    Use of a metal grille with microwaves
    A metal grille placed between transmitter and receiver transmits or blocks the wave depending on whether its bars are parallel or perpendicular to the…OCR
    Use of dividers to obtain smaller p.d.s
    Potential dividers are used to obtain a smaller p.d.OCR
    Use of familiar physical benchmarks
    Recalling or constructing a familiar reference value, such as adult mass about 70 kg or air density about 1 kg m⁻³, and scaling it to the quantity being…AQA
    Use of polarising filters with light
    Unpolarised light is passed through a polarising filter, then through a second filter, and rotating the second filter changes the transmitted intensity.OCR
    Use of Q = CV to transform expressions
    Substituting Q = CV into W = ½QV gives W = ½CV², and substituting V = Q/C gives W = ½Q²/C.OCR
    Use of standard results
    Standard expressions are not derived; where a question needs one, it will be supplied, and the correct expression must be selected.AQA
    Use of the elementary charge
    Treating 1.60 × 10⁻¹⁹ as the conversion factor between the two energy units rather than as a power of ten adjustment.AQA
    Useful and wasted transfers
    Useful energy moves a vehicle, while unwanted transfers include heating due to friction, air resistance and braking.AQA
    Useful output energy
    The energy transferred to the intended form, such as kinetic energy or gravitational potential energy.OCR
    Uses of geostationary satellites
    Telecommunications, television broadcasting and weather monitoring, because their fixed position allows a ground antenna to point permanently at the satellite.OCR
    Using and rearranging divider equations
    Applying Vout = [R₂/(R₁ + R₂)]Vin to find the output voltage across the lower resistor R₂, and V₁/V₂ = R₁/R₂ to compare the potential differences across two…OCR
    Using ratios to compare wave intensities
    The ratio of two intensities equals the square of the ratio of their amplitudes, I₁/I₂ = (A₁/A₂)².OCR

    V

    Vacuum speed of electromagnetic waves
    All electromagnetic waves travel at the same speed in a vacuum, c = 3.00 × 10⁸ m s⁻¹, regardless of frequency or wavelength.AQA
    Validation of new knowledge
    A collective process in which evidence must be shared, tested and judged, not the decision of one scientist.AQA
    Variable control of p.d.
    Use a potential divider or variable resistor to control the p.d.OCR
    variable resistor
    A component that changes its resistance by hand, so the output p.d.AQA
    Variable resistors and potentiometers
    Replacing a fixed resistor with one of these allows the output p.d.AQA
    Variables and control
    In calculations you may be told which factors are held constant so that you can isolate the effect of one variable.OCR
    Vector
    A physical quantity that has both magnitude and direction, such as displacement, velocity, acceleration, force, momentum or electric field strength.AQA
    Vector addition
    Done by calculation or scale drawing, accounting for direction; for perpendicular vectors, resolve into components and use Pythagoras.AQA
    Vector addition and resolution
    Used to test equilibrium by resolving forces in two perpendicular directions and checking each component sum is zero, or by drawing a closed vector triangle.AQA
    Vector addition at any angle
    Drawing each vector tip-to-tail at its correct angle using a protractor, with arrows showing direction, when vectors act at angles other than 90°.AQA
    Vector addition of displacements
    Displacement is a vector, so the direction of each wave's displacement must be taken into account when combining them.OCR
    Vector addition of perpendicular components
    The resultant velocity at any instant is the vector sum of the horizontal and vertical components, with direction found from the tangent of the angle between…OCR
    Vector direction
    Acceleration is in the same direction as the resultant force, and a negative acceleration is deceleration or acceleration opposite to the chosen positive…AQA
    Vector directions and the left-hand rule
    The force is always perpendicular to both the velocity and the field, and the direction follows Fleming's left-hand rule for positive charges; for negative…AQA
    Vector field direction
    E is a vector directed radially away from positive charge and towards negative charge.OCR
    Vector fields
    Field lines never cross, because the field has a single direction at each point, and their density is proportional to field strength.AQA
    Vector nature of electrostatic force
    Coulomb’s law gives the magnitude, and the direction must be determined from the signs of the charges, the force acting along the line joining them.OCR
    Vector nature of field strength
    Field strength is a vector, so direction matters: the force on a positive charge is in the direction of E, while the force on a negative charge is opposite to…OCR
    Vector nature of fields
    Fields are vector quantities and obey superposition.OCR
    vector nature of force
    Force is a vector quantity, so its direction matters and must be given as well as its magnitude.OCR
    Vector nature of force, velocity and field
    The magnitude is given by F = Bqv sin θ, where θ is the angle between velocity and field, and the force is zero when the particle moves parallel to the field.AQA
    Vector nature of g
    It is a vector quantity, directed towards the centre of the mass creating the field.OCR
    Vector nature of gravitational fields
    The field is directed towards the mass, so the vector form carries a minus sign when r is measured outwards from the mass.OCR
    Vector nature of momentum
    Momentum is a vector, so a sign convention is used consistently and oppositely directed velocities have opposite signs.AQA
    Vector nature of velocity and acceleration
    Because velocity is a vector, its direction changes continuously, so the body accelerates even though its speed is constant.AQA, OCR
    Vector quantity
    A quantity that has both magnitude and direction, such as displacement, velocity, acceleration, force, momentum and weight.OCR
    Vector representation of fields
    A force field can be represented as a vector whose magnitude gives the strength of the field at that point and whose direction gives the direction of the…AQA
    Vector resolution
    Splitting one vector into two perpendicular components that together have the same effect, replacing the original vector rather than adding to it.OCR
    Vector resolution and closed triangles
    For three coplanar forces, resolve in two perpendicular directions and set the sum of components in each direction to zero, or draw the forces tip-to-tail to…AQA
    Vector resolution of velocity
    Splitting an initial velocity at an angle into perpendicular components, such as v cos θ horizontally and v sin θ vertically.OCR
    Vector resolution of velocity and force
    A method of drawing the velocity vector, then drawing drag antiparallel to it and lift at 90° to it, before resolving.AQA
    Vector resolution with trigonometry
    Resolving a vector into perpendicular components, so a force F at angle θ has components F cos θ and F sin θ.OCR
    Vector subtraction as reversed addition
    Adding the negative of the vector, a − b = a + (−b), where −b has the same magnitude as b but the opposite direction.OCR
    Vector triangle construction
    A diagram in which the first vector is drawn to scale in its direction and the second is drawn starting from the tip of the first, keeping its own direction.OCR
    Vehicle dynamics
    Factors affecting maximum speed include engine power, air resistance, frontal area, shape, rolling resistance and gradient.AQA
    Vehicle safety engineering
    Crumple zones, seat belts and airbags increase the time taken for the vehicle and occupants to change momentum, reducing the average force for the same…AQA
    Velocity
    The vector rate of change of displacement, so a car on a roundabout can have constant speed but changing velocity.AQA, OCR
    Velocity selection
    Only particles with speed v = E/B travel undeflected, while slower or faster particles are deflected one way or the other.OCR
    Velocity-displacement relationship in simple harmonic motion
    The speed at displacement x is given by v = ±ω√(A² - x²), where A is the amplitude and ω is the angular frequency.OCR
    Verification
    Checking that the finished circuit reproduces every row of the table and correcting any row that does not match.AQA
    Verification of predicted total capacitance
    Measured total capacitance is compared with the value predicted by the series or parallel rule, and readings verify the combination rules.OCR
    Vernier calipers
    An instrument used to measure internal, external and depth dimensions, typically to 0.1 mm or 0.05 mm.OCR
    Vertical gain control
    Sets the vertical scale in volts per division, so it controls the voltage scale of the display.AQA
    Vertical position control
    Shifts the trace up or down to set a convenient zero line, without changing the measured potential difference.AQA
    Vibrating length
    The length L between the fixed end and the vibration generator, which actually contains the stationary wave.AQA
    Virtual earth
    The condition of the inverting input when the non-inverting input is held at zero volts, so the inverting input sits at zero volts.AQA
    Virtual exchange particles
    Particles that exist only during the interaction and are not permanent constituents of the nucleus.AQA
    Virtual particles
    A particle emits one, which is absorbed by another, transferring momentum; such particles exist only during the interaction.AQA
    Virtual photons
    Not directly detectable and exist only for the brief time of the interaction, transmitting the electromagnetic force between charged particles.AQA
    Viscosity
    The quantity η in Stokes’ Law, whose accurate value is needed because the radius depends on it.AQA
    Visual representation of fields
    Electric field lines are a visual way to represent an electric field.OCR
    Vitrification
    A storage method in which high-level waste is turned into glass blocks, cooled in water ponds for decades to dissipate heat, and destined for deep geological…AQA
    Voltage division proportional to resistance
    In a series divider the current is the same through each resistor, so the potential difference across each resistor is proportional to its resistance.OCR
    Voltage reference
    The steady voltage across a Zener diode in reverse breakdown, against which other parts of a circuit compare their signals or use as a fixed level.AQA
    Voltage regulation
    The circuit acts as a constant voltage source because the Zener voltage changes only slightly as current through it varies.AQA
    Voltage-controlled device
    A device in which the gate voltage, not a gate current, controls the drain current, because the oxide insulates the gate.AQA
    Voltmeter
    Connected in parallel across the component being measured, because it must compare the energy at two points.OCR
    Volts/division
    The control that sets the vertical scale, so the peak-to-peak height in divisions multiplied by the volts/division gives the peak-to-peak voltage.OCR
    Volume ratios
    Because volume depends on the cube of the radius, the atom's volume is about 10¹⁵ times the nuclear volume.OCR

    W

    Wave equation
    c = fλ relates speed, frequency and wavelength for electromagnetic waves in a vacuum.AQA
    Wave equation linking c, f and λ
    Because c = fλ, substituting f = c/λ gives E = hc/λ, useful when wavelength is quoted.OCR
    Wave speed on a stretched string
    Given by v = √(T/μ), where T is the tension and μ is the mass per unit length.AQA
    Wave speed on a string
    Given by v = √(T/μ), where T is the tension and μ is the mass per unit length.AQA
    Wave speed, frequency and wavelength relationship
    The wave equation links the speed of a wave to its frequency and wavelength: v = fλ.OCR
    Wave-particle duality
    Einstein's photons explained the photoelectric effect, which wave theory could not, and de Broglie then proposed matter waves, confirmed by electron…AQA
    Wave-particle duality and the de Broglie wavelength
    Accelerated electrons have a much shorter de Broglie wavelength than visible light, which gives a far better resolution than an optical microscope.AQA
    Wave-particle relationship for electromagnetic radiation
    Because for light in a vacuum c = fλ, substituting f = c/λ gives ΔE = hc/λ, which is useful when a wavelength is known.OCR
    Wave–particle duality
    Current physics accepts both wave and photon behaviour depending on the experiment, with interference and diffraction showing wave behaviour and emission and…AQA, OCR
    Wave–particle duality of electromagnetic radiation
    Electromagnetic radiation has both wave and particle properties; the photon model is needed for emission and absorption, while wave behaviour explains…AQA
    Waveform interpretation and clinical relevance
    The P wave is atrial depolarisation, the QRS complex is ventricular depolarisation and the T wave is ventricular repolarisation; comparing a patient's trace…AQA
    Waveform interpretation and graphical representation
    On an oscilloscope or waveform diagram, AM is recognised by a changing envelope with evenly spaced carrier cycles; FM by constant peak height with varying…AQA
    Wavelength
    For a transverse wave, the distance between successive crests; for a longitudinal wave, the distance between successive compressions.AQA, OCR
    Wavelength dependence of diffraction
    For a given slit width, increasing the wavelength makes the central maximum wider, so red light produces a broader central maximum than blue light.AQA
    Wavelength determination
    The wavelength is found using the relationship λ = 2 × (node separation), measuring across several node spacings and dividing to reduce uncertainty.OCR
    Wavelength measurement
    Measurements of node or antinode positions can be used to determine wavelength, with a node spacing of half a wavelength.AQA
    Wavelength separation by a grating
    Higher orders spread out more, so the grating separates wavelengths, which is why it is used in spectrometry.OCR
    Weak and electromagnetic interactions
    The correct exchange particle is chosen for each: a virtual photon for electromagnetic and W⁺ or W⁻ for weak charged-current interactions.AQA
    Weak interaction
    The interaction responsible for muon decay, in which a negative muon transforms into an electron plus a muon neutrino and an electron antineutrino.AQA
    Weak interaction and beta decay
    A free neutron is unstable and undergoes beta-minus decay, in which a down quark changes into an up quark and a W⁻ boson is emitted.AQA
    Weak interaction and particle decay
    The emitted electron and antineutrino are not quarks; they are leptons produced by the weak interaction.OCR
    Weak interaction decays
    Kaons decay by the weak interaction, in which strangeness is not conserved.AQA
    Weak interactions
    These do not conserve strangeness, which is why strange particles can decay singly.AQA
    Weak nuclear force
    A force to which all leptons are subject, and which is responsible for processes such as beta decay.OCR
    Weber
    The unit of flux and of flux linkage; flux linkage may also be quoted in weber-turns.OCR
    Weber (Wb)
    The SI unit of flux, where 1 Wb = 1 T m².AQA
    Weight resolves on an inclined plane
    For a plane at angle θ to the horizontal, the weight W resolves into W sin θ down the slope and W cos θ perpendicular into the slope.AQA
    Weighted addition
    Changing an input resistor changes the weighting of that input, allowing weighted addition of the input voltages.AQA
    White dwarf
    The remaining core after the outer layers are ejected, supported by electron degeneracy pressure rather than fusion, which gradually cools and fades over…AQA, OCR
    White dwarfs
    Stars in the lower left region with hot surfaces but very low luminosity, which requires very small radii.AQA, OCR
    White light
    Light whose wavelengths each produce their own pattern, so the central maxima overlap to give a white centre while the secondary maxima spread into coloured…AQA
    Whole-life environmental impact and recyclability
    A designer compares options using data, considering whole-life energy use, recyclability and the effect on different groups of people.AQA
    Wien's displacement law
    λmaxT = 2.9 × 10⁻³ m K, where λmax is the wavelength of peak emission, linking a star’s peak-emission wavelength to its surface temperature.AQA, OCR
    Wire parallel to the field
    Experiences no force, and for other angles the component of length perpendicular to the field is used.AQA
    Work as a transfer of energy
    Work done on an object transfers energy to it, and work done by it transfers energy away.OCR
    Work as energy transfer
    The energy transferred when a force moves its point of application.OCR
    Work as the area under a p–V graph
    For a reversible process, the work done by a gas equals the area under the p–V path, because work is the integral of pressure with respect to volume.AQA
    Work done
    The energy transferred when a force moves its point of application through a displacement in the direction of the force.AQA, OCR
    Work done and energy transfer
    The work done in stretching or compressing the material equals the area under the graph, because work is the product of force and the displacement it produces.OCR
    Work done as area under a force–distance graph
    Work done equals the area under the force–distance graph between the two separations, found by integration or square-counting because the graph is curved.OCR
    Work done by a constant torque
    The product of a constant torque T and the angular displacement θ, given by W = Tθ.AQA
    Work done by a force
    Work is done when a force moves its point of application through a displacement.OCR
    Work done by a force at an angle to the displacement
    If the force acts at an angle θ to the displacement, only the component along the displacement does work, W = Fs cos θ.OCR
    Work done by a gas
    At constant pressure, work done by the gas is W = pΔV.AQA
    Work done by a magnetic force
    The force is always perpendicular to velocity, so it does no work and changes direction but not speed.AQA
    Work done in electric fields
    Given by W = QΔV, so it is zero when ΔV is zero, regardless of the magnitude of Q.AQA
    Work done on charged particles
    Given by W = QV, using the charge in coulombs and the potential difference in volts, and expressed in eV or J as required.AQA
    Work done per unit mass
    The energy transferred per unit mass in moving a small test mass between two points, given by the magnitude of the potential difference.AQA
    Work function
    The minimum energy required to remove an electron from the surface of a particular metal; it is a property of the metal and is often quoted in electronvolts.AQA, OCR

    X

    X-ray opaque contrast medium
    A material used to enhance contrast in a chosen organ, as illustrated by the barium meal technique.AQA
    X-ray production
    Occurs when accelerated electrons are stopped at a metal target, the anode metal where X-rays are produced.OCR
    X-ray production at the target
    The target metal is set into the anode and is where the accelerated electrons are stopped, producing X-rays.OCR

    Y

    Young modulus
    E = σ/ε, equivalently FL/(AΔL), in Pa; it applies only within the elastic limit, where stress is proportional to strain.AQA, OCR

    Z

    Zener breakdown voltage
    The voltage, labelled V_Z, at the sharp knee on the reverse characteristic where reverse breakdown begins.AQA
    Zener diode
    A diode designed to operate safely in reverse breakdown, where the voltage across it stays nearly constant over a range of reverse currents.AQA
    Zero errors
    A systematic error where an instrument does not read zero when it should, such as a top-pan balance reading 0.02 g with nothing on it.OCR
    Zero of electric potential
    Defined at infinity, where the electric field is zero.AQA
    Zero potential at infinity
    At infinity, the potential is defined as zero.OCR
    Zero resultant force
    The condition meaning zero acceleration, not zero velocity, so the object moves at constant velocity.OCR
    Zero total energy
    At escape the total energy is zero, so ½mv² = GMm/r, the boundary between bound and unbound motion.AQA
    Zero value at infinity
    The zero value is chosen at infinity, where the field strength is zero.AQA
    Zero-order maximum
    The maximum at θ = 0°, where all wavelengths overlap.AQA
    Zinc plate and ultraviolet radiation
    When ultraviolet radiation is shone on the zinc plate, electrons are emitted from the surface, the negative charge is reduced and the leaf falls.OCR

    Other terms

    ½mc² = 3/2 kT
    Gives the mean translational kinetic energy of a molecule of mass m and mean-square speed c².OCR
    λ t₁/₂ = ln 2
    The equation relating the decay constant to half-life, where ln 2 is the natural logarithm of 2, approximately 0.693.OCR
    Φ = BA cos θ
    The expression used when B is at an angle θ to the normal, taking the component of B perpendicular to the area as B cos θ.AQA

    Where these terms come from

    Each definition is one we publish on a Physics A-Level topic page or study guide. Open a term to see how each exam board words it and which topic it belongs to. For the full course, go to Physics revision or the glossary for every subject.

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