Q.

A parallel beam of wavelength λ=450×10−9m passes through a long slit of width 2×10−4m. The angular divergence for which most of light is diffracted is

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a

5.4×10−4rad

b

4.5×10−3rad

c

3.5×10−3rad

d

2.8×10−4rad

answer is B.

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Detailed Solution

Most of the light is diffracted between the two first order minima.∴   Required angle =2θ=2sinθ=2λd=2×450×10−92×10−4=450×10−5 radian =4.5×10−3 radian
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A parallel beam of wavelength λ=450×10−9m passes through a long slit of width 2×10−4m. The angular divergence for which most of light is diffracted is