If an observer moves in a circular path with a sound source (emitting sound waves at constant frequency ) at one of its center , will the observer experience a change in frequency by doppler effect ?

Dear Raghunath Vairamuthu

one can  observe doppler effect if relative position of source and observer changes.

since in this case there is no change in relative position . so observer hear the same natural frequency

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Hi, No, because the distance remains constant or in other words relative speed is same. And apparent frequency is dependent on change in distance(which is relative speed dependent). Thank you