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Questions  

A racing car moving towards a cliff sounds its horn. The driver observes that the sound reflected from the cliff has a pitch one octave higher than the actual sound of the horn. If v be the velocity of sound, the velocity of the car u is

a
V/2
b
V/2
c
V/3
d
V/4

detailed solution

Correct option is C

Frequency received by driver after reflection from wall is given by n′≡nv+uv−u where = velocity of car moving towards wall If the car is moving away from wall, then n′′=nv−uv+u Given that n =2 n Here, octave means double to original hequency nv+uv−u=2n or v+u=2v−2u  or  u=v/3

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