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Two coherent sound sources A and B produ...

Two coherent sound sources A and B produce a sound of wavelength `lambda.` If at `t=0` a detector starts moving with constant velocity `v_(0)` from point O along y - direction, then the minimum time, after which it detects the sound of maximum intensity, is `(D gt gt lambda)`

A

`(sqrt7D)/( v_(0))`

B

`(D)/( 3 v _(0))`

C

`(D)/(v _(0))`

D

`(sqrt7 D)/( 3 v _(0))`

Text Solution

Verified by Experts

The correct Answer is:
D
`4 lamda cos theta = 3 lamda `
` cos theta = (3)/(4)`
`implies tan theta = (v)/(D)`
`implies y = (sqrt7 D)/(3)`
` t = (sqrt7 D)/( 3 v _(0))`
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