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(A) The Doppler effect depends on the relative velocity between the source and the observer along the line joining them.In this scenario,the engine (s

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$500 \ Hz$

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(A) The Doppler effect depends on the relative velocity between the source and the observer along the line joining them.In this scenario,the engine (source) is moving along a circular path,and the observer is at the center of the circle.The velocity vector of the engine is always tangential to the circular path,while the line joining the engine and the observer is along the radius.Since the tangent to a circle is always perpendicular to the radius at the point of contact,the velocity of the source along the line joining the source and the observer is always zero.Because there is no component of velocity along the line of sight (radial direction),there is no relative motion between the source and the observer along the line joining them.Therefore,the apparent frequency heard by the observer remains equal to the original frequency of the whistle,which is $500 \ Hz$.

An engine is moving on a circular track with a constant speed. It is blowing a whistle of frequency $500 \ Hz$. The frequency received by an observer standing stationary at the centre of the track is

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