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Q.

A narrow slit of width 2 mm is illuminated by the light of wavelength 5000 A∘. What is the distance between the first dark fringe on either side on a screen at a distance of 1 m is

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a

5 mm

b

0.5 mm

c

1 mm

d

10 mm

answer is B.

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Detailed Solution

Here, a=2mm=2×10−3mλ=500nm=500×10−9m=5×10−7m,D=1mThe distance between the first minima on either side on A screen =2λDa=2×5×10−7×12×10−3=5×10−4m=0.5×10−3m=0.5mm
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