Optics 6 Question 11

13. The angular width of the central maximum in a single slit diffraction pattern is 60. The width of the slit is 1μm. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young’s fringes can be observed on a screen placed at a distance 50cm from the slits. If the observed fringe width is 1cm, what is slit separation distance?

(i.e. distance between the centres of each slit.)

(2018 Main)

(a) 100μm

(b) 25μm

(c) 50μm

(d) 75μm

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Solution:

  1. In single slit diffraction pattern, λ=bsinθ

At θ=30,

λ=b2=1×1062=5×107m

In YDSE,

fringe width,ω=λDdd=λDω=5×107×0.51×102

d=25×106m=25μm



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