(Solution) - a What resolution is required for a diffraction grating to -(2025 Original AI-Free Solution)

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(a) What resolution is required for a diffraction grating to resolve wavelengths of 512.23 and 512.26 nm?
(b) With a resolution of 104, how close in nm is the closest line to 512.23 nm that can barely be resolved?
(c) Calculate the fourth-order resolution of a grating that is 8.00 cm long and is ruled at 185 lines/mm.
(d) Find the angular dispersion ) between light rays with wavelengths of 512.23 and 512.26 nm for first-order diffraction (n = 1) and thirtieth-order diffraction from a grating with 250 lines/mm and ? = 3.0°.