A train is moving with a constant speed u along a circular track. A siren in its engine is emitting a sound of frequency v. If u $$=$$ $$v/10$$, where v is the speed of sound, the apparent frequency of sound as heard by a passenger at the rear end of the train is

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Refer to Fig. The components of u→$$0$$ and u→s along the direction of the velocity of sound are $$u0$$ $$cos$$θ and us $$cos$$θ given $$u0$$ $$=$$ $$us=$$ u. Thus, the source is receding from the observer with a speed u $$cos$$ θ and the observer is approaching the source with the same speed u $$cos$$ θ ∴ Apparent frequency  v'$$=vv+ucos$$θ$$v+ucos$$θ$$=vHence$$ the correct chose is (d)

A train is moving with a constant speed u along a circular track. A siren in its engine is emitting a sound of frequency v. If u = v/10, where v is the speed of sound, the apparent frequency of sound as heard by a passenger at the rear end of the train is

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