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Interference fringes were produced in yo...

Interference fringes were produced in young's double slit experiment using light of wave length `5000Å`,When a film of material `2.5xx10^(-3)`cm thick was placed over over of the slits,the fringe pattern shifted by adistance equal to `20`fringe width.The refractive index of the material of the film is-

A

`1.25`

B

`1.33`

C

`4`

D

`1.5`

Text Solution

Verified by Experts

`n=((mu-1)tD)/(d)`
but `beta=((lambda)D)/(d) rArr (D)/(d)=(beta)/(lambda)`
`n=(mu-1)tbeta//lambda`
`20 beta=(mu-1)2.5xx10^(-3)(beta//5000xx10^(-8))`
`mu-1=(20xx5000xx10^(-8))/(2.5xx10^(-3)) rArr mu=1.4`
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