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Question
Derive the relation a sin θ = λ for the first minimum of the diffraction pattern produced due to a single slit of width ‘a’ using light of wavelength λ.
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Solution
sin θ = `(BE)/(AB)`
BE = AB sin θ AB = a
BE = a sin θ
for first minima at P
path difference BE = λ
a sin θ = λ
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