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To make the central fringe at the center...

To make the central fringe at the center`O` , mica sheet of refractive index `1.5` is introduced Choose the corect statement(S).

A

The thickness of sheet is `2(sqrt(2)-1)d` infornt of `S_(1)`

B

The thickness of sheet is `(sqrt(2)-1)d` infornt of `S_(2)`

C

The thickness of sheet is `2sqrt(2)d` infornt of `S_(1)`

D

The thickness of sheet is `(2sqrt(2)-1)d` infornt of `S_(1)`

Text Solution

Verified by Experts

The correct Answer is:
A
To makepath difference `0` at `O`.mica sheet has tobe introduce infront of `S_(1)`
path differnece=`0`
`(SS_(2)-S_(2)O)-(SS_(1)+S_(1)O-t+mut)=0`
`(SS_(2)-SS_(1))+(S_(2)O-S_(1)O)-(mu-1)t=0`
Since `S_(2)O=S_(1)O` and `SS_(1)=(sqrt(2)-1)d`
`(sqrt(2)-1)d-(mu-1)t=0`
`t=((sqrt(2)-1)d)/((mu-1))`
`t=2(sqrt(2)-1)d`
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