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In a young's double slit experiment ,let...

In a young's double slit experiment ,let `A`and `B` be the two slits.A thin film film of thickness `t` and refractive index`mu` is pklaced in front of `A`.Let `beta` =fringe width.The central maximum will shift:

A

towards A

B

towards B

C

by `t(mu-1)(beta)/(lambda)`

D

by `mut(beta)/(lambda)`

Text Solution

Verified by Experts

The correct Answer is:
A,C

Central frings will shift towards A.
for central frings path difference=`0`
`S_(2)P-(S_(1)P-t+mut)=0`
`S_(2)P-S_(1)P-(mu-1)t=0`
`(xd)/(D)-(mu-1)t=0`
`x=((mu-1)tD)/(d)...(1)`
`as beta=(lambdaD)/(d)...(2)`
from(1)&(2)
`x=((mu-1)tbeta)/(lambda)`
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