Optics Question 1157

Question: In Young’s double slit experiment, the aperture screen distance is 2m. The fringe width is 1 mm. Light of 600 nm is used. If a thin plate of glass (m = 1.5) of thickness 0.06 mm is placed over one of the slits, then there will be a lateral displacement of the fringes by

[BCECE 2005]

Options:

A) 0 cm

B) 5 cm

C) 10 cm

D) 15 cm

Show Answer

Answer:

Correct Answer: B

Solution:

Lateral displacement of fringes = $ \frac{\beta }{\lambda }(\mu -1)t $

$ =\frac{1\times {{10}^{-3}}}{600\times {{10}^{-9}}}(1.5-1)\times 0.06\times {{10}^{-3}} $

$ =\frac{1}{20}m $

$ =5cm. $



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