A Levels Physics (9702)•9702/12/M/J/24

Explanation
Standing wave node-to-antinode distance determines wavelength
Steps:
- In a sound standing wave, position X is a displacement node (minimum amplitude), Y is an antinode (maximum amplitude).
- Distance XY = 30 cm = 0.3 m = λ/4, so wavelength λ = 1.2 m.
- With speed v = 300 m/s, frequency f = v/λ = 300 / 1.2 = 250 Hz.
- At reduced speed 30 m/s, new frequency f' = 30 / 1.2 = 25 Hz, producing a lower-frequency sinusoidal trace on CRO.
Why B is correct:
- B shows a low-frequency sine wave, matching the reduced f' = 25 Hz from halved speed (same λ in fixed setup).
Why the others are wrong:
- A: High-frequency wave, implies unchanged or higher speed.
- C: Distorted or clipped waveform, not sinusoidal sound.
- D: Flat or no signal, ignores ongoing wave propagation.
Final answer: B
Topic: Stationary waves
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