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Asked in GSEB Board July 2016 · Single slit diffraction
Given: a=0.01 cm=10⁻⁴ m, λ=6000 A=6×10⁻⁷ m, and the second maximum is wanted.
Idea: the minima of a single slit lie at a sin θ=nλ, and the secondary maxima fall roughly midway between consecutive minima, at a sin θ=(n+1/2)λ.
For the second secondary maximum, n=2: sin θ=(2.5λ)/a, and the angle is small enough that θ≈sin θ.
θ=(2.5×6×10⁻⁷)/(10⁻⁴).
θ=1.5×10⁻².
θ=0.015 rad.
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