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Question

A siren emitting a sound of frequency 800Hz moves away from an observer towards a cliff at a speed of 15ms1. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is
(Take velocity of sound in air =330ms1)
  1. 765Hz
  2. 800Hz
  3. 838Hz
  4. 885Hz

A
800Hz
B
765Hz
C
885Hz
D
838Hz
Solution
Verified by Toppr

The general formula for apparent frequency is f=v±uOvuSf
As observer is at rest so uO=0
Since the source moves towards cliff, i.e., effectively the source moves towards the observer (the sound being heard through echo), so uS taken as uS=15 m/s
Thus, f=vvuSf=33033015800=838 Hz

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