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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 he does not observe any beats.


A

33 m/s

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B

22 m/s

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C

Zero

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D

11 m/s

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Solution

The correct option is B

22 m/s


n1 = Frequency of the police car horn heard by motorcyclist

n2 = Frequency of the siren heard by motorcyclist.

v = Speed of motor cyclist

n1 = 330v33022 × 176; n2 = 330+v330×165

n1 - n2 = 0 v = 22 ms1.


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