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Question

A police car moving at 22 m/s, chases a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that motor cyclist does not observe any beats.

(velocity of sound in air =330m/s)


A

33 m/s

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B

22 m/s

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C

55 m/s

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D

11 m/s

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Solution

The correct option is B

22 m/s


Motorcyclist listens to two apparent frequencies

(a) police car:
f1=f01(330+v33022)=176(330v330)=176(330v308)(b)sirenf2=f01(330+v330)=165(330+v330)=(330+v2)

Since no beats are present,

f1=f2176(330v2)=330+v2v=22 ms1


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