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A two slit Young's interference experime...

A two slit Young's interference experiment it done with monochromatic light of wavelength `6000 A`. The slits are `2 mm` apart. The fringes are observed on a screen placed `10 cm` away from the slits. Now a transparent plate of thickness `0.5 mm` is placed in front of one of the slits and it if found that the interference pattern shifts by `5 mm`. The refractive index of the transparent plate is :

A

`1.2`

B

`0.6`

C

`2.4`

D

`1.5`

Text Solution

Verified by Experts

The correct Answer is:
A
Clearly the central maxima at `P`(initially) shifts to `P'` where `PP'=5 mm`.
So now, path difference at `P'` must be zero.
`rArr d sintheta=(mu-1)t`
`rArr d tantheta =(mu-1)t`
`mu=1+(d.(PP'))/(Dt), "get" mu=1.2`
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