Light of wavelength 500 nm is incident normally on a diffraction grating. If the third-order maximum of the diffraction pattern is observed at 32.0∘, what is the number of rulings per centimeter for the grating?
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Solution
We use the grating equation dsinθ=mλ : d=mλsinθ=3(5.00×10−7m)sin32.0∘=2.83×10−6m Thus the grating gauge is 1d=3.53×105 grooves /m=3.53×103 grooves /cm