The apparent frequency of the whistle of an engine changes in the ratio of 6:5

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Question -

The apparent frequency of the whistle of an engine changes in the ratio of 6:5 as the engine passes a stationary observer. If the velocity of sound is 330 m/s, then the velocity of the engine is

Options:

A . 3 m/s

B . 30 m/s

C . 0.33 m/s

D . 660 m/s

Answer: Option B
:
B

v^{'} = \frac{v}{v - v_{s}} v, v "= \frac{v}{v + v_{s}} v \frac{v^{'}}{v^{''}} = \frac{v + v_{z}}{v - v_{s}} o r \frac{6}{5} = \frac{330 + v}{330 - v} 11 v_{s} = 330 \Rightarrow v_{s} = 30 m / s

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