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Question: A police car moving at 22m/s chases a motorcyclist. The police man sounds his horn at 176 Hz, while ...

A police car moving at 22m/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 the motorcyclist does not observe any beats:

A

33 m/s

B

22 m/s

C

Zero

D

11m/s

Answer

33 m/s

Explanation

Solution

As no beats f1 = f2

176(330−v0330−22)=165(330+v0330)176 \left( \frac { 330 - \mathrm { v } _ { 0 } } { 330 - 22 } \right) = 165 \left( \frac { 330 + \mathrm { v } _ { 0 } } { 330 } \right)

v0=22 m/sec\mathrm { v } _ { 0 } = 22 \mathrm {~m} / \mathrm { sec }