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Q.

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 observes any beats

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a

33 m/s

b

22 m/s

c

Zero

d

11 m/s

answer is B.

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Detailed Solution

n1 = Frequency of the police car horn observer heard by motorcyclist n2 = Frequency of the siren heard by motorcyclist.v2 = Speed of motor cyclistn1=330−v330−22×176  ;    n2=330+v330×165∵n1−n2=0⇒v=22 m/s.
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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 observes any beats