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In the ideal double-slit experiment, whe...

In the ideal double-slit experiment, when a glass-plate(refractive index 1.5) of thickness t is introduced in the path of one of the interfering beams (wave-length `lamda`), the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass-plate is

A

`2lambda`

B

`2lambda//3`

C

`lambda//3`

D

`lambda`

Text Solution

Verified by Experts

The correct Answer is:
A

Path difference due to slab
`Delta = (mu-1) t = n lambda` (for B-fringe)
Here `n = 1 t = (lambda)/(mu-1) = (lambda)/((3//2)-1) = 2lambda`
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