A siren emitting a sound of frequency moves away from an observer towards a cliff at a speed of . The frequency of sound that the observer hears in the echo reflected from the cliff will be: (Take, velocity of sound in air = )
The siren is moving towards the cliff, so the cliff acts as a stationary observer receiving sound from a moving source. The apparent frequency reaching the cliff is given by the Doppler effect formula: where: (actual frequency of the siren) (speed of sound) (speed of the source)
The cliff then acts as a stationary source of sound, reflecting it back to the stationary observer. The frequency of the echo heard by the observer will be the same as the frequency received by the cliff. Therefore, the frequency of the echo heard by the observer is approximately .
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