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A plate of thickness t made of a material of refractive index `mu` is placed in front of one of the slits in a double slit experiment. (a) Find the changes in the optical path due to introduction of the plate. (b) What should be the minimum thickness t which will make the intensity at the center of the fringe pattern zero ? Wavelength of the light used is `lamda`. Neglect any absorption of light in the plate.

A

`(mu-1)(lambda)/(2)`

B

`(mu-1)lambda`

C

`(lambda)/(2(mu-1))`

D

`(lambda)/((mu-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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