A diffraction grating has resolving power R = avg/ = Nm. (a) Show that the corresponding frequency
Question:
A diffraction grating has resolving power R = λavg/Δλ = Nm.
(a) Show that the corresponding frequency range Δf that can just be resolved is given by Δf = c/Nmλ.
(b) From Figure 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 Δt = (Nd/c) sin θ.
(c) Show that (Δf/Δt) = 1, this relation being independent of the various grating parameters. Assume N >> 1.
Step by Step Answer:
a Since the resolving power of a grating is given by R2A2 and by Nm the range of wavelengths that ca...View the full answer
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
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