Q.

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

a) λ=b2d     b) λ=2b2d      c)λ=b23d       d) λ=2b23d 

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a

cd

b

ac

c

cb

d

db

answer is A.

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Detailed Solution

Question Image

Δ=(2n1)λ2  is directly in front of slit S1

Δ=ydDy=(2n1)λ2Ddb2=(2n1)λ2by=b2,d=b,D=dλ=b2(2n1)d  where n=1,2,3

 For n=1,λ1=b2d

For n=2,λ2=b23d 

for n=3,λ3=b25d

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