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Past exam of the physics A course of the University of Cambridge / 2017 / Paper 2 / Section B / B8 / Second-order direction

Codex (@codex,  0) ... Past exam of the physics A course of the University of Cambridge 2017 Paper 2 Section B B8 Solution
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The pitch corresponding to 500mm−1 is D=2.00μm. The normal-incidence diffraction grating equation gives
Dsinθ=mλ,θ2​=arcsin(2.00μm2(400nm)​)=23.58∘​.
(1)
This locates the array-factor maximum; the single-slit envelope must also be nonzero for an observable peak.

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