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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 observes any beats. (velocity of sound in air = 330 m/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
f1 = frequency of the police car heard by motorcyclist,
f2 = frequency of the siren heard by motorcyclist.
f1=330v33022×176;f2=330+v330×165;
f1f2=0v=22m/s

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