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    Radioactive decay and nuclear radiation — AQA GCSE Combined Science

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    Radioactive decay and nuclear radiation explained

    Radioactive decay happens when an unstable nucleus emits radiation to become more stable.

    Read the full explanation

    The process is random: you cannot predict when a particular nucleus will decay, nor which nucleus in a sample will decay next. Each decay changes the nucleus, often into a different element, and releases radiation such as alpha, beta or gamma. Stability improves because the nucleus loses energy or changes its proton-to-neutron balance. For example, carbon-14 decays by beta emission to nitrogen-14, and its half-life of about 5730 years lets archaeologists date once-living material. In exams you may be asked to define radioactive decay, explain why it is random, or describe how emission changes the nucleus.

    Activity is the rate at which a source of unstable nuclei decays.

    Activity describes how quickly unstable nuclei in a radioactive source decay. Each decay is a random event for one nucleus, but a large sample gives a steady average rate. Activity is therefore the number of nuclear decays per unit time, not the number of nuclei present and not the count rate measured by a detector. For example, a source with an activity of 200 Bq has, on average, 200 nuclei decaying each second. Activity decreases over time because fewer unstable nuclei remain, following the half-life pattern. Students should distinguish activity from count rate: count rate is what an instrument records, and it is lower than activity because not every emitted particle or wave reaches the detector.

    Activity is measured in becquerel (Bq)

    The becquerel (Bq) is the unit of activity. One becquerel is one nuclear decay per second, so a source of 3000 Bq has 3000 unstable nuclei decaying each second on average. Because activity is a rate, values are written with the unit Bq, and larger activities may be quoted in kBq (10³ Bq) or MBq (10⁶ Bq). Students should use Bq correctly in calculations and when interpreting data. For example, if a detector records 40 counts per second from a source whose activity is 400 Bq, the count rate is much lower because most emissions miss the detector or are absorbed before reaching it. Activity is not measured in counts per second; counts per second is a count rate.

    Count-rate is the number of decays recorded each second by a detector (eg Geiger-Muller tube).

    Radioactive decay is random, so a detector cannot predict when the next decay occurs. Instead, we measure the count-rate: the number of decays recorded each second by a detector such as a Geiger-Muller tube. The tube produces a pulse each time ionising radiation enters it, and a counter or data logger totals these pulses over a chosen time. Dividing the total count by the time in seconds gives the count-rate in counts per second (cps). For example, 600 counts in 20 s gives 600 ÷ 20 = 30 cps. Because decay is random, repeat readings vary slightly, so a mean of several measurements is more reliable. Count-rate is not the same as activity: activity is the number of decays per second in the source (measured in becquerels, Bq), while count-rate is what the detector records, which is lower because some radiation is absorbed or misses the tube.

    The nuclear radiation emitted may be:

    When an unstable nucleus decays, it emits nuclear radiation. The three main types are alpha, beta and gamma, and they differ in nature, charge, penetrating power and ionising ability. An alpha particle is a helium nucleus, 2 protons and 2 neutrons, with charge 2⁺; it is highly ionising but stopped by a few centimetres of air or a sheet of paper. A beta particle is a fast-moving electron emitted when a neutron changes into a proton, with charge 1⁻; it is moderately ionising and stopped by a few millimetres of aluminium. Gamma radiation is a high-energy electromagnetic wave with no charge and no mass; it is weakly ionising and absorbed by thick lead or concrete. A neutron is also emitted in some decays. Knowing these properties lets students identify the radiation from absorption data and balance nuclear equations.

    an alpha particle (α) – this consists of two neutrons and two protons, it is the same as a helium nucleus

    An alpha particle is a nuclear emission made of two protons and two neutrons, so it is identical to a helium-4 nucleus, ⁴₂He. It has a relative mass of 4 and a charge of 2⁺, because the two protons each carry 1⁺ and the neutrons are neutral. When a nucleus emits an alpha particle, its proton number decreases by 2 and its nucleon number decreases by 4, so the element changes. For example, radium-226 decays to radon-222: ²²⁶₈₈Ra → ²²²₈₆Rn + ⁴₂He. Alpha particles are highly ionising but have a short range in air, typically a few centimetres, and are stopped by paper or skin. Students should be able to describe the composition, write or complete nuclear equations, and explain why the emitting nucleus changes identity.

    a beta particle (β) – a high speed electron ejected from the nucleus as a neutron turns into a proton

    A beta particle is a high-speed electron emitted from the nucleus when a neutron changes into a proton. The nucleus gains a proton but loses a neutron, so the proton number increases by 1 while the nucleon number stays the same. The emitted beta particle is written as ⁰₋₁e or β, with a relative mass of 0 and a charge of 1⁻. For example, carbon-14 decays to nitrogen-14: ¹⁴₆C → ¹⁴₇N + ⁰₋₁e. Beta particles are less ionising than alpha particles but have a longer range, typically a few metres in air, and are stopped by a few millimetres of aluminium. Students should describe the origin of the beta particle, balance nuclear equations, and explain why the element changes without the nucleon number changing.

    a gamma ray (γ) – electromagnetic radiation from the nucleus

    A gamma ray is a high-energy electromagnetic wave emitted from an unstable nucleus during radioactive decay. Unlike alpha or beta particles, it has no mass and no charge, so its emission does not change the proton number or the nucleon number of the nucleus. It travels at the speed of light and is highly penetrating: it passes through paper and several centimetres of aluminium, and is only significantly reduced by thick lead or concrete. For example, after a nucleus emits an alpha or beta particle, it may still hold excess energy; it then releases that energy as one or more gamma rays. In equations, gamma emission is shown by adding γ to the products, with the mass and atomic numbers unchanged. Because gamma is electromagnetic radiation, it is part of the electromagnetic spectrum and can ionise atoms indirectly.

    a neutron (n).

    A neutron is a neutral subatomic particle found in the nucleus of an atom. It has a relative mass of 1 and no electric charge, so it is written as n in nuclear equations. As well as alpha, beta, and gamma radiation, a neutron can be emitted from an unstable nucleus as a form of radioactive decay. Because a neutron has no charge, it is not deflected by electric or magnetic fields and can penetrate deeply into materials. In a nuclear equation, a neutron is shown with a mass number of 1 and an atomic number of 0, for example ¹₀n. The number of neutrons in a nucleus is found by subtracting the atomic number from the mass number. For example, carbon-12 has 6 protons and 6 neutrons because 12 − 6 = 6.

    Students should be able to apply their knowledge to the uses of radiation and evaluate the best sources of radiation to use in a given situation.

    Choosing a radioactive source for a job means matching its penetration, range and ionising power to the task while keeping exposure as low as reasonably practicable. For thickness monitoring of thin metal foil, a beta source such as strontium-90 is suitable because some beta passes through the foil and the count rate changes as thickness varies; alpha would be stopped by the foil and gamma would pass through almost unchanged. For smoke detectors, an alpha source such as americium-241 ionises air between electrodes; the smoke absorbs the ions and the current falls, triggering the alarm. For sterilising medical equipment or treating tumours, gamma from cobalt-60 penetrates packaging or tissue. Evaluation means weighing benefits against the hazard, choosing the least penetrating radiation that still does the job, and using shielding, distance and short exposure time.

    Your focus

    1. Define radioactive decay as a random process in which an unstable nucleus emits radiation.
    2. Explain why individual decay events cannot be predicted even though half-life can be measured.
    3. Describe how the emission of alpha or beta radiation changes the nucleus and can form a new element.
    Show all 30 objectives
    1. State that activity is the rate at which unstable nuclei decay.
    2. Distinguish between activity and count rate in a given context.
    3. Use the becquerel to express activity and interpret activity values in decays per second.
    4. State that activity is measured in becquerel (Bq).
    5. Convert between Bq, kBq and MBq correctly.
    6. Use the becquerel to interpret activity values and distinguish activity from count rate.
    7. State that count-rate is the number of decays recorded each second by a detector.
    8. Calculate count-rate from a total count and a time interval, giving the correct unit.
    9. Explain why count-rate is lower than the activity of the source and why repeat readings are averaged.
    10. Describe the nature, charge and penetrating power of alpha, beta and gamma radiation.
    11. Explain how absorption measurements can identify the type of radiation emitted by a source.
    12. Apply conservation of mass number and atomic number to nuclear equations involving alpha or beta emission.
    13. State that an alpha particle consists of two protons and two neutrons and is identical to a helium nucleus.
    14. Write or complete a balanced nuclear equation for alpha decay, including the correct symbols and numbers.
    15. Explain how alpha emission changes the proton number and nucleon number of a nucleus and why the element changes.
    16. State that a beta particle is a high-speed electron ejected from the nucleus when a neutron turns into a proton.
    17. Write or complete a balanced nuclear equation for beta decay, including the correct symbol for the beta particle.
    18. Explain how beta emission changes the proton number but not the nucleon number, and why the element changes.
    19. Describe gamma radiation as electromagnetic radiation emitted from an unstable nucleus.
    20. Explain why gamma emission does not change the proton number or nucleon number of a nucleus.
    21. Compare the penetrating power of gamma radiation with alpha and beta radiation and identify suitable absorbing materials.
    22. Describe a neutron as a neutral subatomic particle with a relative mass of 1.
    23. Calculate the number of neutrons in a nucleus using the mass number and atomic number.
    24. Recognise that a neutron can be emitted as a form of radioactive decay and represent it correctly in a nuclear equation using the symbol ¹₀n.
    25. Apply knowledge of alpha, beta and gamma properties to select a source for a given use.
    26. Evaluate competing sources by comparing penetration, range and ionising power.
    27. Justify a source choice with reference to both effectiveness and safety.

    Radioactive decay and nuclear radiation exam tips

    Marking Points
    • State that radioactive decay occurs in unstable nuclei.
    • Explain that the nucleus emits radiation in order to become more stable.
    • Define radioactive decay as a random process.
    • Explain that randomness means you cannot predict which nucleus decays next or exactly when a given nucleus will decay.
    • Describe that decay changes the nucleus, often producing a different element.
    • Link the emitted radiation to alpha particles, beta particles or gamma rays.
    • Activity is defined as the rate of decay of unstable nuclei, meaning decays per unit time.
    • The unit of activity is the becquerel (Bq), where 1 Bq equals one decay per second.
    • Activity depends on the number of unstable nuclei remaining in the source, so it falls as the source decays.
    • Activity is a property of the source, whereas count rate is measured by a detector and is affected by distance, absorption and detector efficiency.
    • A stated activity such as 500 Bq means an average of 500 nuclear decays each second, not 500 nuclei present.
    • The becquerel (Bq) is the unit of activity, defined as one decay per second.
    • Activity values may be expressed in Bq, kBq or MBq, where 1 kBq = 1000 Bq and 1 MBq = 1 000 000 Bq.
    • A source with activity 250 Bq has 250 decays each second on average.
    • Count rate is measured in counts per second and is not the same as activity in Bq.
    • When calculating or comparing activities, keep the unit Bq with the numerical value and convert prefixes correctly.
    • Count-rate is defined as the number of decays recorded each second by a detector.
    • A Geiger-Muller tube is a detector that produces a pulse for each ionising particle or photon entering it.
    • Count-rate is calculated by dividing the total number of counts recorded by the time in seconds.
    • The unit of count-rate is counts per second (cps); it is not measured in becquerels (Bq), which is the unit for activity.
    • Count-rate is measured rather than predicted because radioactive decay is random.
    • Count-rate is lower than the source activity because not all emitted radiation reaches or is detected by the tube.
    • Repeating a measurement and calculating a mean improves reliability because random decay causes variation between readings.
    • Alpha radiation is a helium nucleus, 2 protons and 2 neutrons, with charge 2⁺.
    • Beta radiation is a fast-moving electron emitted from the nucleus, with charge 1⁻.
    • Gamma radiation is a high-energy electromagnetic wave with no charge and no mass.
    • Alpha is the most ionising and least penetrating; gamma is the least ionising and most penetrating.
    • Alpha is stopped by paper or a few centimetres of air, beta by a few millimetres of aluminium, and gamma is reduced by thick lead or concrete.
    • A neutron may also be emitted in some nuclear decays.
    • The type of radiation emitted can be identified from how its count-rate changes as different absorbers are placed between source and detector.
    • An alpha particle contains two protons and two neutrons, giving a nucleon number of 4 and a proton number of 2.
    • It is identical to a helium-4 nucleus, often written as ⁴₂He or α.
    • Its charge is 2⁺ because the two protons each contribute 1⁺ and the neutrons contribute no charge.
    • In alpha decay, the emitting nucleus loses 2 protons and 4 nucleons in total, so its proton number decreases by 2 and its nucleon number decreases by 4.
    • A nuclear equation for alpha decay must balance nucleon numbers and proton numbers on both sides, for example ²²⁶₈₈Ra → ²²²₈₆Rn + ⁴₂He.
    • Alpha particles are highly ionising and have a short range in air, being stopped by a few centimetres of air or a sheet of paper.
    • A beta particle is a high-speed electron ejected from the nucleus, not from the electron shells.
    • It is formed when a neutron in the nucleus turns into a proton, so the nucleus gains a proton and loses a neutron.
    • The beta particle has a relative mass of 0 and a charge of 1⁻, written as ⁰₋₁e or β.
    • In beta decay, the proton number increases by 1 and the nucleon number stays the same, so the element changes.
    • A balanced nuclear equation for beta decay must conserve nucleon number and total charge, for example ¹⁴₆C → ¹⁴₇N + ⁰₋₁e.
    • Beta particles are less ionising than alpha particles but have a greater range in air, being stopped by a few millimetres of aluminium.
    • Gamma radiation is electromagnetic radiation emitted from the nucleus of an unstable atom.
    • A gamma ray has no mass and no electric charge, so emitting it does not alter the proton number or nucleon number of the nucleus.
    • Gamma radiation is highly penetrating and is absorbed most effectively by thick lead or concrete, not by paper or a few centimetres of aluminium.
    • Gamma emission often follows alpha or beta decay, when a nucleus still has excess energy to release.
    • In a nuclear equation, gamma is represented by the symbol γ and the mass number and atomic number of the nucleus remain unchanged.
    • Gamma rays are part of the electromagnetic spectrum and can ionise atoms indirectly, which is why they are hazardous to living cells.
    • A neutron is a subatomic particle found in the nucleus of an atom.
    • A neutron has a relative mass of 1 and no electric charge, so it is neutral.
    • In nuclear equations, a neutron is represented by the symbol n with a mass number of 1 and an atomic number of 0, for example ¹₀n.
    • The number of neutrons in a nucleus equals the mass number minus the atomic number.
    • A neutron can be emitted from an unstable nucleus as a type of radioactive decay.
    • Because neutrons have no charge, they are not deflected by electric or magnetic fields and are highly penetrating.
    • Identify the property needed by the task, such as penetration through foil, ionisation of air or penetration through tissue or packaging.
    • Select a source whose radiation has that property, for example beta for thickness monitoring, alpha for a smoke detector and gamma for sterilisation.
    • Explain why the chosen radiation works, referring to what happens to the radiation in the material, such as partial absorption by the foil.
    • Evaluate alternatives by explaining why another radiation would fail, such as alpha being stopped by foil or gamma passing through it almost unchanged.
    • Consider safety and practicality, including shielding, distance, exposure time and the risk from ionising radiation.
    • Reach a justified conclusion that names the best source for the stated situation.
    Examiner Tips
    • 💡When defining radioactive decay, include both key ideas: unstable nucleus and random process.
    • 💡If asked why decay is random, refer to the inability to predict which nucleus or when, rather than saying it is simply 'unpredictable' without explanation.
    • 💡Use a named example such as carbon-14 decaying to nitrogen-14 to show how emission changes the nucleus.
    • 💡Always give the unit Bq when quoting an activity value, and remember that 1 Bq = 1 decay per second.
    • 💡If a question gives a count rate and asks about activity, explain that the detector does not record every decay because of distance, absorption or inefficiency.
    • 💡Link decreasing activity to decreasing numbers of unstable nuclei and to half-life when explaining graphs or calculations.
    • 💡Write the unit Bq after every activity value, and convert kBq or MBq to Bq before doing arithmetic.
    • 💡If a question asks for activity and you are given count rate, state any assumption about detector efficiency or absorption before using the value.
    • 💡Check that your final answer has the correct power of ten when converting between Bq, kBq and MBq.
    • 💡State the definition precisely: number of decays recorded each second by a detector.
    • 💡When calculating, show the division clearly, for example 600 counts ÷ 20 s = 30 cps.
    • 💡Use the correct unit, counts per second, and do not write 'counts' alone or 'becquerels' as the unit of count-rate.
    • 💡If asked why repeats are taken, link your answer to the random nature of radioactive decay.
    • 💡Distinguish clearly between count-rate and activity if both appear in a question.
    • 💡Learn the nature, charge, penetration and ionisation for alpha, beta and gamma as a table.
    • 💡When identifying an unknown source, compare count-rate with and without each absorber.
    • 💡In nuclear equations, check that mass numbers and atomic numbers balance after emission.
    • 💡Use precise wording: alpha is a helium nucleus, beta is a fast-moving electron, gamma is an electromagnetic wave.
    • 💡Remember that gamma has no charge, so it is not deflected by electric or magnetic fields.
    • 💡When completing a nuclear equation, check that the total nucleon numbers and total proton numbers are equal on both sides before writing the final symbol.
    • 💡Use the terms proton number and nucleon number precisely; avoid saying mass number changes by 2 when it changes by 4.
    • 💡Link the short range of alpha radiation to its strong ionising ability, and use this to explain why alpha sources are handled with care but are stopped by paper.
    • 💡In beta decay equations, check that the total charge is balanced: the 1⁻ charge of the beta particle is balanced by the increase of 1⁺ in the proton number of the daughter nucleus.
    • 💡Use the phrase neutron turns into a proton when explaining the origin of beta radiation, and link this to the increase in proton number.
    • 💡Compare beta with alpha in terms of ionising power and range, and use the correct stopping material: aluminium for beta, paper for alpha.
    • 💡State clearly that gamma is electromagnetic radiation from the nucleus, not a particle with mass or charge.
    • 💡When balancing a nuclear equation involving gamma, check that the mass number and atomic number are unchanged.
    • 💡Link penetrating power to absorption materials: paper stops alpha, aluminium stops beta, thick lead reduces gamma.
    • 💡Use the formula number of neutrons = mass number − atomic number when asked to find neutron numbers.
    • 💡In nuclear equations, write a neutron as ¹₀n and check that mass and atomic numbers balance.
    • 💡Remember that neutron emission is a form of radioactive decay, alongside alpha, beta, and gamma.
    • 💡Start by stating the property the situation requires, then name the radiation that has it, then justify the choice.
    • 💡Include one sentence explaining why a rejected radiation would not work, as evaluation requires comparison.
    • 💡Link safety advice to the specific source, for example lead shielding for gamma rather than a general warning.
    Common Mistakes
    • Saying decay happens at a steady, predictable rate for each nucleus: correct this by stating that decay is random, so individual decay events cannot be predicted, although large samples show a measurable half-life.
    • Confusing stability with the nucleus 'wanting' to decay: correct this by explaining that unstable nuclei emit radiation to become more stable, without implying a conscious choice.
    • Thinking radiation is always gamma: correct this by noting that unstable nuclei may emit alpha or beta particles as well as gamma radiation, depending on the nucleus.
    • Confusing activity with count rate: activity is the rate of nuclear decay in the source, while count rate is the reading from a detector, which is usually lower.
    • Thinking activity is the total number of unstable nuclei: activity is a rate per second, so it has units of Bq, not a pure number of nuclei.
    • Believing every nucleus in a source decays at the same instant: decay is random, so activity is an average rate over a large number of nuclei.
    • Writing activity in counts per second instead of Bq: counts per second is a count rate, while Bq is the unit of activity.
    • Treating kBq and MBq as different physical quantities: they are simply larger multiples of the becquerel.
    • Forgetting to convert kBq to Bq before comparing or calculating, which leads to answers that are out by factors of 1000 or 1 000 000.
    • Confusing count-rate with activity: count-rate is what the detector records each second (cps), whereas activity is the number of decays per second in the source (Bq); correct by stating that count-rate is a measured quantity that is usually lower than activity.
    • Forgetting to divide by time: a student may quote the total count as the count-rate; correct by always dividing total counts by the time in seconds.
    • Assuming every emitted particle is detected: some radiation is absorbed by air or the source casing, or misses the tube; correct by explaining that count-rate underestimates activity.
    • Treating count-rate as fixed: because decay is random, repeated readings differ; correct by taking repeats and using a mean.
    • Saying beta is a proton: beta is a fast-moving electron emitted when a neutron changes into a proton; correct by describing the electron and the nuclear change.
    • Describing gamma as a particle: gamma is an electromagnetic wave with no mass or charge; correct by calling it a wave or photon.
    • Mixing up penetrating power and ionising power: alpha is the most ionising but least penetrating, while gamma is the least ionising but most penetrating; correct by learning the pair together.
    • Writing charges as 2+ or 1-: use Unicode superscripts, 2⁺ and 1⁻, and include the sign.
    • Thinking an alpha particle is a helium atom: it is a helium nucleus, so it has no electrons and carries a 2⁺ charge.
    • Writing the symbol as ⁴₂He²⁻ or ²₂He: the mass number is 4, the atomic number is 2, and the charge is 2⁺, not 2⁻.
    • Forgetting to change the element in alpha decay: losing two protons changes the proton number, so the daughter nucleus is a different element.
    • Saying the beta particle comes from the electron shells: it is ejected from the nucleus when a neutron changes into a proton.
    • Writing the beta particle as ⁰₊₁e or ⁰₁e: the correct symbol is ⁰₋₁e, showing zero mass number and a 1⁻ charge.
    • Changing the nucleon number during beta decay: the nucleon number stays the same because a neutron is replaced by a proton.
    • Thinking that gamma emission changes the element: it does not, because no protons or neutrons are lost. Correction: the proton number and nucleon number stay the same, so the element remains unchanged.
    • Confusing penetrating power with ionising power: gamma is the most penetrating but the least ionising of the three emissions. Correction: alpha is the most ionising and least penetrating; gamma is the least ionising and most penetrating.
    • Writing gamma as a particle with mass or charge, such as treating it like a beta particle. Correction: gamma is electromagnetic radiation with no mass and no charge, shown as γ in equations.
    • Confusing neutrons with protons: neutrons have no charge, while protons are positively charged. Correction: check the charge and position in the nucleus.
    • Thinking neutrons are not emitted during radioactive decay: they are a valid type of nuclear radiation. Correction: remember that unstable nuclei can emit neutrons to become more stable.
    • Forgetting that a neutron has a mass number of 1 and atomic number of 0 in equations. Correction: always write ¹₀n and balance mass and atomic numbers.
    • Choosing gamma for thickness monitoring because it is penetrating; correction: gamma passes through the foil almost unchanged, so the count rate barely varies and beta is better.
    • Choosing alpha for sterilising sealed equipment; correction: alpha is stopped by packaging and has a very short range, so gamma is needed.
    • Treating all sources as equally safe or ignoring the hazard; correction: compare the risk and explain how shielding, distance and time reduce exposure.