A Levels Physics (9702)•9702/12/O/N/19

Explanation
Doppler effect for moving source Steps:
- Maximum frequency occurs when loudspeaker moves directly toward observer at vs = 15 m/s.
- Apply formula f' = f × v / (v - vs), with f = 2000 Hz, f' = 2007 Hz.
- Substitute: 2007 = 2000 × v / (v - 15).
- Solve: v = [15 × 2007] / (2007 - 2000) = 324 m s^{-1}. Why C is correct:
- Doppler formula directly computes speed of sound as 324 m s^{-1} using given values. Why the others are wrong:
- A: Yields f' ≈ 2114 Hz, exceeding observed shift.
- B: Yields f' ≈ 2105 Hz, exceeding observed shift.
- D: Yields f' ≈ 2090 Hz, under observed shift.
Final answer: C
Topic: Doppler effect for sound waves
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