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Two coherent sources separated by distan...

Two coherent sources separated by distance `d` are radiating in phase having wavelength `lambda`. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of `n=4` interference maxima is given as

A

`sin^(-1)(nlambda)/(d)`

B

`cos^(-1)(4lambda)/(d)`

C

`tan^(-1)(d)/(4lambda)`

D

`cos^(-1((lambda)/(4d)`

Text Solution

Verified by Experts

The correct Answer is:
B
Path difference `Deltax= d costheta`
For maxima at P `Deltax= nlambda`

`implies nlambda= dcostheta`
`implies theta= cos^(-1)((nlambda)/(d))= cos^(-1)((4lamda)/(d))`
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