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Q.

A source is moving along a circle given by equation x2+y2=R2,  with constant speed v=330π63m/s in anti-clockwise sense, a detector is at rest of point (2R, 0). If the frequency emitted by the source is f and the speed of sound,c=330 m/sec. Then

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a

The maximum frequency recorded by the detector is 63(63π)f

b

The position of source when the detector records the maximum frequency is R2,3R2

c

The coordinate of the source when the detector records minimum frequency is R2,3R2

d

The minimum frequency recorded by the detector is 63π+63f

answer is C, D.

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Detailed Solution

When detector receives the maximum frequency the sources moves out from the corresponding positive due to which it received the maximum.

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f'=CCVf=330330330π63×f 

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A source is moving along a circle given by equation x2+y2=R2,  with constant speed v=330π63m/s in anti-clockwise sense, a detector is at rest of point (2R, 0). If the frequency emitted by the source is f and the speed of sound,c=330 m/sec. Then