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Question

White light is used to illuminate the two slits in Young's double slit experiment. The distance between the slits is b and the screen is at a distance d (>> b) from the slits. At a point on the screen directly in front of one of the slits, certain wavelengths are missing. Some of these missing wavelengths are


A

λ=b22d

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B

λ=2b2d

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C

λ=b23d

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D

λ=2b23d

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Solution

The correct option is C

λ=b23d


At a point on the screen directly in front of one of the slits, the path difference is b2
For a dark fringe to occur at that point,
b2=(m+12)Dλb; m=0,1,2,3,....etc
Hence, λ=b2(2m+1)D
For m = 1, λ=b23D


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