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Diffraction

Question

A slit of width 'a' is illuminated by white light. The first minimum for red light ( λ=6500 A0 ) will fall at θ = 300 , then 'a' will be

Moderate
Solution

d = a,\,\lambda = 6500{A^0} = 6500 \times {10^{ - 10}}m,\,n = 1\

\theta = {30^0},\sin \theta = \frac{{n\lambda }}{d},\,\sin {30^0} = \frac{{6500 \times {{10}^{ - 10}}}}{a}\

a = 13000 \times {10^{ - 10}}m = 1.3\,\,micron\



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