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Light of wavelength 500nm is used to for...

Light of wavelength `500nm` is used to form interference pattern in Young's double slit experiment. A uniform glass plate of refractive index `1.5` and thickness `0.1mm` is introduced in the path of one of the interfering beams. The number of fringes which will shift the cross wire due to this is

A

(a) 100

B

(b) 200

C

(c) 300

D

(d) 400

Text Solution

Verified by Experts

The correct Answer is:
A

The number of fringes shifting is decided by the extra path difference produced by introducing the glass plate. The extra path difference is `(mu-1)t=nlambda`
or `(1.5-1)xx0.1xx10^-3=nxx500xx10^-9`
`=n=100`
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