A Levels Physics (9702)•9702/13/O/N/18

Explanation
Doppler Effect for Approaching Source Steps:
- Apply the Doppler formula for a source moving toward a stationary observer: f' = f × (v / (v - v_s)).
- Insert values: f = 40 Hz, v = 340 m/s, v_s = 25 m/s.
- Find v - v_s = 340 - 25 = 315 m/s.
- Calculate f' = 40 × (340 / 315) ≈ 40 × 1.092 = 43.7 Hz.
Why D is correct:
- The Doppler formula f' = f × (v / (v - v_s)) directly yields 43.7 Hz for an approaching source, increasing the recorded frequency.
Why the others are wrong:
- A: Uses receding source formula f × (v / (v + v_s)) ≈ 37.0 Hz.
- B: Applies incorrect double shift, like for echo from receding reflector.
- C: Relies on low-speed approximation f × (1 + v_s / v) ≈ 43.0 Hz, ignoring higher-order terms.
Final answer: D
Topic: Doppler effect for sound waves
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