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In the Young's experiment, one of the sl...

In the Young's experiment, one of the slit is covered with a transparent sheet of thickness `3.6xx10^(-3)` cm due to which position of central fringe shifts to a position originally occupied by 30th bright fringe. The refractive index of the sheet, if `lambda=6000Å` is

A

`1.5`

B

`1.2`

C

`1.3`

D

`1.7`

Text Solution

Verified by Experts

The correct Answer is:
A
`t=3.6xx10^(-3) cm, Delta beta= 30 beta, lambda 6000Å, mu ?`
`Delta beta =(beta)/( lambda) ( mu-1) t`
`mu-1 (Delta beta* lambda)/(beta*t)`
`=(30 beta 6xx10^(-7))/( beta xx 3.6 xx10^(-5)) =0.5`
`:. mu=1.5`
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