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A parallel beam of monochromatic light of wave-length 450 nm passes through a slit of width 0.2 mm. Find the angular divergence in which most of the light is diffracted

a
3.2×10−4 rad
b
5.4×10−2rad
c
6.5×10−3rad
d
4.5×10−3rad

detailed solution

Correct option is D

Most of the light is diffracted between the two first order minima. These mimima occur at angle given by dsinθ=±nλFor n=1,   sinθ=±λd=±450×10−90.2×10−3=±2.25×10−3 rad∴The angular divergence=2×θ = 2×2.25×10−3rad                                                                                             = 4.5×10−3rad

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