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 $ .