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Q.

A car is moving towards a high cliff. The driver sounds a horn of frequency f. The frequency of reflected sound as heard by the  driver  is 2f. If v is the velocity of sound, then what will be the velocity of the car, in the same velocity units?

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a

v/2

b

v/3

c

v/4

d

v/2

answer is B.

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Detailed Solution

First, the car is the source and at the cliff, one observes f'.∴f′=vv−vsfSecond, the cliff is now the source. It emits frequency f' and the observer is now the driver who observes f''.∴f′′=v+v0vf2f=v+v0v−vsf2v−2v0=v+v0⇒v=v0+2v0 as vs=v0v0=v3
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