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Question: Light of wavelength 500 nm is used to form interference pattern in young's double slit experiment. A...

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

A

100

B

200

C

300

D

400

Answer

100

Explanation

Solution

(m _ 1)t Dd=nDdλ\frac{D}{d} = \frac{nD}{d}\lambda, (m _ 1)t = nl

\ (1.5 _ 1) × 0.1 × 10–3 = n × 500 × 10–9

\ n = 100