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PhysicsHardNumerical2022 · 25 Jul Shift 1

Q25.An observer is riding on a bicycle and moving towards a hill at 18 km h-1. He hears a sound from a source at some distance behind him directly as well as after its reflection from the hill. If the original frequency of the sound as emitted by source is 640 Hz and velocity of the sound in air is 320 m s-1, the beat frequency between the two sounds heard by observer will be _____ Hz.

What This Question Tests

This multi-step problem requires applying the Doppler effect formula twice: first for direct sound and second for reflected sound (treating the hill as a moving source and observer, then the observer as moving), then calculating the beat frequency.

Concepts Tested

Doppler EffectBeat FrequencyReflection of Sound

Formulas Used

f' = f_0 * (v ± v_o) / (v ± v_s)

f_beat = |f_1 - f_2|

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