A man is standing on a railway platform listening to the whistle of an engine that passes the man at constant speed without stopping. If the engine passes the man at time $t_0$ . How does the frequency f of the whistle as heard by the man changes with time
Text Solution
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When the train is approaching the stationary observer frequency heard by the observer $n' = \frac{v + v_0}{v} n$
when the train is moving away from the observer then frequency heard by the observer $\mathbf{n}'' = \frac{v - v_0}{v} \mathbf{n}$
it is clear that $n'$ and $n''$ are constant and independent of time. Also and n' > n".
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