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Problem 12.11
A diffraction grating has N slits and a grating space f. If 3 = af sin 0/A, where is the angle of
diffraction, calculate the phase change dß required to move the diffracted light from the principal
maximum to the first minimum to show that the half width of the spectral line produced by the
grating is given by d0 = (nN cot)-¹, where n is the spectral order. (For N = 14,000, n = 1 and
019°, de 5s of arc.)

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