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Edexcel A Level (IAL) Physics-5.45 Doppler Shift- Study Notes- New Syllabus

Edexcel A Level (IAL) Physics -5.45 Doppler Shift- Study Notes- New syllabus

Edexcel A Level (IAL) Physics -5.45 Doppler Shift- Study Notes -Edexcel A level Physics – per latest Syllabus.

Key Concepts:

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Edexcel A level Physics-Study Notes- All Topics

Doppler Effect: Frequency Shift Due to Relative Motion

The Doppler effect describes how the observed frequency of a wave changes when there is relative motion between the source of waves and the observer.

What Is the Doppler Effect?

The Doppler effect occurs when:

  • A wave source moves relative to an observer, or
  • An observer moves relative to a wave source.

This relative motion causes the observed frequency to differ from the emitted frequency.

Source Moving Towards the Observer

  • Wavefronts are compressed.
  • Wavelength decreases.
  • Observed frequency increases.

Result:

  • Higher pitch for sound.
  • Blueshift for light.

Source Moving Away from the Observer

  • Wavefronts are stretched.
  • Wavelength increases.
  • Observed frequency decreases.

Result:

  • Lower pitch for sound.
  • Redshift for light.

 Doppler Effect for Waves

The Doppler effect changes:

  • Observed frequency
  • Observed wavelength

It does NOT change:

  • The speed of the wave in the medium

 Simple Doppler Effect Equation (Source Moving, Observer Stationary)

Approaching source:

\( f’ = f \dfrac{v}{v – v_s} \)

Receding source:

\( f’ = f \dfrac{v}{v + v_s} \)

  • \( f’ \) = observed frequency
  • \( f \) = emitted frequency
  • \( v \) = wave speed
  • \( v_s \) = speed of source

Doppler Effect for Light (Qualitative)

  • Approaching source → blueshift
  • Receding source → redshift
  • Used in astronomy to study star and galaxy motion

Important:

  • Relativistic equations are used at very high speeds.
  • For IAL Physics, qualitative understanding is sufficient.

Example (Easy)

A sound source moves towards a stationary observer. How does the observed frequency compare with the emitted frequency?

▶️ Answer / Explanation

The observed frequency is higher than the emitted frequency.

Example (Medium)

A siren emits sound at \( 500\,\mathrm{Hz} \). It moves away from a stationary observer. State what happens to the observed frequency and wavelength.

▶️ Answer / Explanation
  • Observed frequency decreases.
  • Observed wavelength increases.

Example (Hard)

A source emits sound at \( 600\,\mathrm{Hz} \) and moves towards a stationary observer at \( 20\,\mathrm{m\,s^{-1}} \). The speed of sound is \( 340\,\mathrm{m\,s^{-1}} \). Calculate the observed frequency.

▶️ Answer / Explanation

Use Doppler equation for approaching source:

\( f’ = f \dfrac{v}{v – v_s} \)

\( f’ = 600 \times \dfrac{340}{340 – 20} \)

\( f’ = 600 \times \dfrac{340}{320} \approx 638\,\mathrm{Hz} \)

The observer hears a higher frequency.

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