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In the arrangement shown in Fig., slits ...

In the arrangement shown in Fig., slits `S_(1)` and `S_(4)`are having a variable separation Z. Point O on the screen is at the common perpendicular bisector of `S_(1) S_(2)` and `S_(3) S_(4)`.

The minimum value of Z for which the intensity at O is zero is

A

`(3lambda D)/(2d)`

B

`(lambda D)/(2d)`

C

`(lambda D)/(3d)`

D

`(lambda D)/(d)`

Text Solution

Verified by Experts

The correct Answer is:
D
Intensity at 'O' os zero if `(phi)/(2) = (pi)/(2)`
`phi = (2pi)/(beta)xx(Z)/(2) = pi implies beta , Z = beta = (lambda D)/(d)`
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