Optics 6 Question 28

30. A narrow slit of width 1mm is illuminated by monochromatic light of wavelength 600nm. The distance between the first minima on either side of a screen at a distance of 2m is

(1994, 1M)

(a) 1.2cm

(b) 1.2mm

(c) 2.4cm

(d) 2.4mm

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Solution:

  1. For first dark fringe on either side dsinθ=λ

 or dyD=λy=λDd

Therefore, distance between two dark fringes on either side

=2y=2λDd

Substituting the values, we have

 Distance =2(600×106mm)(2×103mm)(1.0mm)=2.4mm



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