Solved: A diffraction grating has resolving power R =

Chapter , Problem 79

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A diffraction grating has resolving power R = Aavgl!::'A = Nm. (a) Show that the corresponding frequency range !::.fthat can just be resolved is given by !::.f = C/NmA. (b) From Fig. 36-22, show that the times required for light to travel along the ray at the bottom of the figure and the ray at the top differ by M = (Nd/c) sinO. (c) Show that (!::.f)(!::.t) = 1, this relation being independent of the various grating parameters. Assume N ;? l.

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