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Astronomy

The classical Doppler effect

  • 3 things to know
  • Unit AS 2

Overview

Recall questions on what the Doppler effect is and the ambulance siren as the everyday case, the wavefront explanation for an approaching and a receding source, the wavelength and frequency equations, worked calculations both ways, whether the emitted frequency itself changes, the null result for transverse motion, and the derivation of Δλ/λ = v/c.

What you need to know

Answer each one before you reveal it.

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Key term

State the classical equation for the wavelength received by a stationary observer from an approaching source.

Key term

State the classical Doppler equation in terms of frequency for a moving source and a stationary observer.

Key term

Explain in terms of wavefronts why an approaching source produces a shorter wavelength.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is the Doppler effect?

    Model answer

    The Doppler effect is the change in the observed frequency and wavelength of a wave that occurs when the source and the observer are moving relative to one another.

  2. 2

    Describe what is heard as an ambulance siren approaches, passes and drives away.

    Model answer

    The note is heard at a higher pitch than normal while the ambulance approaches, drops suddenly as it passes, and is heard at a lower pitch than normal as it recedes.

  3. 3

    Explain in terms of wavefronts why an approaching source produces a shorter wavelength.

    Model answer

    The source moves forward between emitting one wavefront and the next, so each new wavefront starts from a point closer to the observer and the wavefronts ahead of the source are bunched together.

  4. 4

    Explain in terms of wavefronts why a receding source produces a longer wavelength.

    Model answer

    The source moves away between emitting successive wavefronts, so each new wavefront starts further from the observer and the wavefronts behind the source are stretched apart.

  5. 5

    State the classical equation for the wavelength received by a stationary observer from a receding source, defining each symbol.

    Model answer

    λ' = λ(c + v)/c, where λ' is the received wavelength in metres, λ is the wavelength emitted by the source at rest in metres, v is the speed of the source in m s⁻¹ and c is the speed of the wave in the medium in m s⁻¹.

  6. 6

    State the classical equation for the wavelength received by a stationary observer from an approaching source.

    Model answer

    λ' = λ(c − v)/c, where λ' is the received wavelength, λ is the wavelength emitted by the source at rest, v is the speed of the approaching source and c is the wave speed, all in SI units.

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