Q.

A train whistling at constant frequency is moving towards a station at a constant speed v.The train goes past a stationary observer on the station. The frequency n'of the sound as heard by the observer is plotted as a function of time t (figure.). Identify the expected curve.

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a

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b

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c

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d

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answer is C.

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Detailed Solution

Whistling train is the source of sound vs=V. Before crossing a stationary observer on station, frequency heard is n'=vn(vvs)=vnv+V  constant and  n'>n.
Here, v is velocity of sound in air and n is actual frequency of whistle.
After crossing the stationary observer, frequency heard is n'=vn(v+vs)=vnv+V  constant and n'>n. 
Therefore, the expected curve is (c).

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