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Interference fringes were produced in Yo...

Interference fringes were produced in Young's double-slit experiment using light of wavelength `5000 Å`. When a film of thickness `2.5xx10^(-3) cm` was placed in front of one of the slits, the fringe pattern shifted by a distance equal to `20` fringe-widths. The refractive index of the material of the film is

A

`1.25`

B

`1.35`

C

`1.4`

D

`1.5`

Text Solution

Verified by Experts

The correct Answer is:
C
Fringe shift `y_(0)=20 beta`
`(mu-1)tD/d=20(Dlambda)/d`
`(mu-1)t=20lambda`
`(mu-1)xx2.5xx10^(-5)=20xx5xx10^(-7)`
`mu-1=0.4 impliesmu=1.4`
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