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A small source of sound vibrating frequency 500 Hz is rotated in a circle of radius `(100)/(pi)` cm at a constant angular speed of `5.0` revolutions per second. The speed of sound in air is `330(m)/(s)`.
Q. For an observer situated at a great distance on a straight line perpendicular to the plane of the circle, through its centre, the apparent frequency of the source will be

A

greater that 500 Hx

B

smaller than 500 Hz

C

always remain 500 Hz

D

greater for half the circle and smaller during the other half

Text Solution

Verified by Experts

The correct Answer is:
C
Since the source is moving on a small circle in a plane perpendicular to the direction of the wave moving towards the observer located on the axis of the circle, there would be no change in the observed frequency which will be the the same as the real frequency, i.e., 500 Hz.
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