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A source and an observer are situated on...

A source and an observer are situated on two perpendicular tracks as shown in the figure the observer is at rest and source is moving with a speed `50m//s` the source emits sound waves of frequency 90Hz which travel in the medium with velocity `200m//s` the frequency of sound heard by observer when the source crosses the origin is

A

`84Hz`

B

`88Hz`

C

`92Hz`

D

`96Hz`

Text Solution

Verified by Experts

The correct Answer is:
D


when source is at origin the observer receives the sound emitted by the source when it was at P such that cos theta`=(50t)/(200t) = 1/4`
`v=(v_(0)(v))/(v-v_(s)costheta) = (90xx200)/(200-50/4)`
`v=96Hz`
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