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A police car moving at 22m//s, chases m...

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

A

33 m/s

B

22 m/s

C

zero

D

11 m/s

Text Solution

Verified by Experts

The correct Answer is:
B
The motorcyclist observes no beats. So the apparent frequency observed by him from the sources must be equal.
`f_(1)`=Frequency recorded by motorcyclist from police car.
`f_(2)`=Frequency recored by motorcyclist from stationary siren.
`:. 176((330-upsilon)/(330-22))=165((330+upsilon)/330)`
Solving this equation we get, `upsilon=22 m//s`
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