Wave Mechanics Question 685

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

Options:

A) 33 m/s

B) 22 m/s

C) zero

D) 11 m/s

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ 176( \frac{v-v _{0}}{v-22} )=165\frac{v+v _{0}}{v} $ Here $ v=330,m/s $ , after simplifying, we get $ v _{0}=22,m/s $ .