Optics Question 852

Question: White light used to illuminate the two slits in Young’s double slit experiment. The separation between the slits is d and the distance between the screen and the slit is D(»d). At a point on the screen in front of one of the slits, certain wave- lengths are missing. The missing wavelengths are

Options:

A) λ=d2(2n+1)D

B) λ=(2n+1)d2D

C) λ=d2(n+1)D

D) λ=(n+1)Dd2

Show Answer

Answer:

Correct Answer: A

Solution:

[a] nth minimum has a distance from the centre =x=(2n+1)12λDd .

For a point on the screen directly in front of one of the slits, x=d/2

for minimum intensity in front of one of the slits d2=(2n+1)λ2Dd

λ=d2(2n+1)D



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