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Question

A police car moving at 22 m/s, chases a motorcylist. 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 D 11 m/s
n1= Frequency of the police car horn as heard by observer (motorcylist)
n2 = Frequency of the siren heard by the motorcyclist.
v2=Speed of motor cyclist
n1=330v33022×176;n2=330+v330×165
Given that
n1=n2330v33022×176=330+v330×165v=11 m/s.

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