A train is moving along a semicircular track. | vedclass

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Question

(C) The situation is shown in the figure. Both the source (engine) and the observer (passenger in the middle of the train) have the same speed $v = 30

Vedclass · Accepted Answer

$200$

Vedclass · Answer

(C) The situation is shown in the figure. Both the source (engine) and the observer (passenger in the middle of the train) have the same speed $v = 30 \ m/s$.The engine is at the start of the semicircle,and the observer is at the midpoint of the semicircle. The line joining the engine and the observer makes an angle of $45^\circ$ with the velocity vector of both the engine and the observer.The component of the velocity of the observer towards the source is $v \cos 45^\circ$.The component of the velocity of the source towards the observer is $v \cos 45^\circ$.Since both the source and the observer are moving with the same velocity component along the line joining them,there is no relative motion between them along the line of sight.Therefore,the apparent frequency heard by the observer is the same as the source frequency,which is $200 \ Hz$.

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