AQA · A-Level · Physics

    Course version: 7408 · Version from Sept 2016

    The invariance of the speed of light.

    Full specification wording

    The Michelson-Morley experiment (A-level only): The invariance of the speed of light.

    The invariance of the speed of light states that 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.

    Checked against the AQA 7408 specification (opens in a new tab) on .

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    • 3 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    The invariance of the speed of light states that 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. This fundamental postulate of special relativity is supported by the null result of the Michelson-Morley experiment. For example, if a spacecraft travelling at $0.5c$ shines a laser forward, a stationary observer measures the laser beam's speed as $c$, not $1.5c$. This contradicts classical Galilean velocity addition. This invariance necessitates relativistic effects like time dilation and length contraction. The metre is now defined using the exact fixed value of $c = 299\,792\,458\text{ m s}^{-1}$.

    What earns the marks

    • The speed of light in a vacuum, $c$, is constant for all inertial observers.
    • The invariance of $c$ is a core postulate of special relativity, supported by the Michelson-Morley experiment's null result.

    Common mistakes and how to put them right

    • Adding the speed of a moving source to $c$ (e.g., $c + v$).

      Put it right: All inertial observers measure the vacuum speed of light as exactly $c$.

    • Applying the invariance principle to non-inertial frames.

      Put it right: This specific postulate of special relativity applies strictly to inertial (non-accelerating) observers.

    • Confusing the invariance of $c$ with the constancy of frequency or wavelength.

      Put it right: While the speed $c$ is invariant, the observed frequency and wavelength will shift due to the Doppler effect (though their product remains $c$).

    Exam tips

    • Always specify that the speed of light is constant 'in a vacuum' and 'for all inertial observers' to secure full marks in definition questions.
    • Link the invariance of $c$ directly to the null result of the Michelson-Morley experiment when discussing experimental evidence for special relativity.

    Try the lesson

    The start of the The Michelson-Morley experiment (A-level only): The invariance of the speed of light. lesson, made from checked teaching notes for this specification point.

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    What does the invariance of the speed of light mean?

    Listen

    The invariance of the speed of light states that 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. This fundamental postulate of special relativity is supported by the null result of the Michelson-Morley experiment. For example, if a spacecraft travelling at 0.5c shines a laser forward, a stationary observer measures the laser beam's speed as c, not 1.5c. This contradicts classical Galilean velocity addition. This invariance necessitates relativistic effects like time dilation and length contraction. The metre is now defined using the exact fixed value of c = 299\,792\,458\text{ m s}^{-1}. A strong answer earns marks for these points. The speed of light in a vacuum, c, is constant for all inertial observers. The invariance of c is a core postulate of special relativity, supported by the Michelson-Morley experiment's null result. A common slip: Adding the speed of a moving source to c (e.g., c + v). Instead, all inertial observers measure the vacuum speed of light as exactly c. Exam tip: Always specify that the speed of light is constant 'in a vacuum' and 'for all inertial observers' to secure full marks in definition questions.

    See it

    A top-down flowchart. The top node reads "Invariance of the speed of light". Six arrows lead from it to separate nodes: "Speed of light in a vacuum, c, is constant for all inertial observers"; "Independent of the motion of the light source or the observer"; "Core postulate of special relativity"; "Contradicts classical Galilean velocity addition"; "Necessitates relativistic effects like time dilation and length contraction"; and "Metre defined using the exact fixed value of c". From the "Core postulate of special relativity" node a further arrow leads to "Supported by the null result of the Michelson-Morley experiment".
    It shows the invariance of the speed of light, its independence from source and observer motion, its support from the Michelson-Morley null result, and the consequences and contrasts the note draws from it.

    Key words

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    Invariance of the speed of light

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    Michelson-Morley experiment

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    Classical Galilean velocity addition

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    See every definition
    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.
    Michelson-Morley experiment
    An experiment whose null result supports the invariance of the speed of light, a fundamental postulate of special relativity.
    Classical Galilean velocity addition
    The classical view in which velocities simply add together as vectors, contradicted by the invariance of the speed of light.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-down flowchart. The top node reads "Invariance of the speed of light". Six arrows lead from it to separate nodes: "Speed of light in a vacuum, c, is constant for all inertial observers"; "Independent of the motion of the light source or the observer"; "Core postulate of special relativity"; "Contradicts classical Galilean velocity addition"; "Necessitates relativistic effects like time dilation and length contraction"; and "Metre defined using the exact fixed value of c". From the "Core postulate of special relativity" node a further arrow leads to "Supported by the null result of the Michelson-Morley experiment".
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