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A source of sound and detector are arranged as shown in Fig. The detector is moving along a circle with constant angular speed `omega`. It start from the shown location in anticlockwise direction at `t=0`
(Take velocity of sound in air as v)
What is the frequency as received by detector, when it rotates by an angle `(pi)/(2)`?

A

f

B

`(v-omegaR)/(v)xxf`

C

`(v-(omega)/( R))/(v)xxf`

D

`v-(omegaRxx(2)/(sqrt5))/(v)xxf`

Text Solution

Verified by Experts

The correct Answer is:
D


The location of detector at required instant is shown in Fig.
We have, `v_0=Romega`
`f_(ap)=(v-v_0costheta)/(v)xxf`
`costheta=(2R)/(sqrt(5)R)`
`f_(ap)=(v-omegaRxx(2)/(sqrt5))/(v)xxf`
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