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Q.

White light (400 nm to 800 nm) is used in YDSE, where D = 0.5 m, d = 1 mm. Find the missing wavelengths in front of one of the slits on screen?

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a

700 nm, 900 nm

b

400 nm, 100 nm

c

40003nm,900nm

d

20003nm,400nm

answer is A.

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Detailed Solution

Δx=dyD=dD(d2)=d22D

(2n1)λ2=d22Dλ=d2(2n1)D=106×2(2n1)1

λ=2000(2n1)nm

When n=1, 2000 nm = l = (not possible because not in given range

When n=2, l =2000/3 nm

When n=3, l =2000/5 nm=400nm

λ1=20003&λ2=400 are the missing wavelengths

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