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Q.

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 that of the actual sound of the horn .If V is the velocity of sound, then velocity of the car is

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a

V/2

b

V/2

c

V/3

d

V/4

answer is C.

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Detailed Solution

Let u= speed of the car, ns = frequency of the horn  frequency received  and reflected by the cliffn1=ns1−u/V . Frequency observed by the driver n2=n1(1+u/v)=2ns Or ns(1+u/V)1−u/V=2ns Or u=V/3
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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 that of the actual sound of the horn .If V is the velocity of sound, then velocity of the car is