First slide

Doppler

Question

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

Moderate

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Solution

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 $n^{''} = \frac{v - v_{0}}{v} n$ it is clear that n' and n" are constant and independent of time. Also and n' > n".

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