Optics Question 1114

Question: If a transparent medium of refractive index m = 1.5 and thickness t = 2.5 x 10^-5 m is inserted in front of one of the slits of Young’s Double Slit experiment, how much will be the shift in the interference pattern? The distance between the slits is 0.5 mm and that between slits and screen is 100 cm

[AIIMS 1999]

Options:

A) 5 cm

B) 2.5 cm

C) 0.25 cm

D) 0.1 cm

Show Answer

Answer:

Correct Answer: B

Solution:

Shift in the fringe pattern $ x=\frac{(\mu -1)t.D}{d} $

$ =\frac{(1.5-1)\times 2.5\times {{10}^{-5}}\times 100\times {{10}^{-2}}}{0.5\times {{10}^{-3}}}=2.5\ cm. $



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