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Q.

White light is used to illuminate the two slits in Young’s double slit experiment. The separation between the screen and the slits is  D(>>d). At a point on the screen directly in front of one of the slits, certain wavelengths are missing. The missing wavelengths are (here m = 0, 1,2,.. is an integer)

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a

λ=d2(2m+1)D

b

 λ=(2m+1)d2D 

c

λ=d2(m+1)D 

d

λ=(m+1)d2D

answer is A.

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Detailed Solution

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Δx=xdD=d22D=(2m+1)λ2⇒λ=d2(2m+1)D

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