IB Physics SL C 5 Doppler Effect Questions

Trace sound-frequency changes to source motion, read stellar spectral shifts to infer direction, and use galaxy red-shift with Hubble’s law to estimate distance.

Syllabus
First assessment 2025
Course
Physics SL
Level
SL

Exam points

  • Explain sound Doppler shifts as changes in observed frequency caused by relative source–observer motion.
  • Use moving-source wavefront spacing to explain why an observer hears a higher or lower frequency.
  • Apply Δλ/λ ≈ v/c to calculate star or galaxy speed from a small light-wavelength shift.
  • Compare observed and laboratory spectral lines to decide whether a star or galaxy is approaching or receding.
  • Use a galaxy’s red-shift with Hubble’s law to estimate distance or the Hubble constant.

Question 1

[Maximum number: 2]

This question is about the Doppler effect.

Georgia carries out an experiment to measure the speed of mosquitoes. She sets up a microphone to record the sounds of passing mosquitoes.

Figure for Question 1 — IB Physics SL

One mosquito is moving in a straight line with constant speed and passes very close to the microphone as seen in the diagram. The mosquito produces a sound of constant frequency. The speed of sound in air is 340 m s−1340 \mathrm{~m} \mathrm{~s}^{-1}.

The maximum frequency recorded is 751 Hz and the minimum frequency recorded is 749 Hz . Explain this observation.

Question 2

[Maximum number: 2]

This question is about the Doppler effect.

The diagram shows wavefronts in air produced by a stationary source S of sound.
The distance between successive wavefronts is equal to the wavelength of the sound.
The speed of sound is c.

Figure for Question 2 — IB Physics SL

On the diagram, sketch three successive wavefronts produced when S is moving to the left at a speed of 0.5 c.

Question 3

[Maximum number: 4]

Star A is a main sequence star.

The data for Star A and the Sun are given in a table.

Table for Question 3 — IB Physics SL

Question (a)

(a)

The peak wavelength of the radiation from Star A is measured by an observer on Earth. The observed wavelength is 0.007 % less than the peak wavelength emitted by Star A (about 560 nm).

Outline how this difference arises.

[ 2 ]

Question (b)

(b)

Determine the speed, in kms−1\mathrm{km} \mathrm{s}^{-1}, of Star A relative to Earth.

[ 2 ]
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