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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

`(2 lambda D)/(d)`

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 is zero if `delta//2 = pi//2`. That is,
`delta = (2 pi)/(beta) (Z)/(2) = pi implies Z = beta =(lambda D)/(d)`
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