A mixture of violet light (wavelength of 410 nm) and red light (wavelength of 660 nm) falls on a diffraction grating that contains 1 x 104 lines/cm. For each wavelength, find the angle that corresponds to the first-order maxima. Draw a sketch to support your answer.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter35: Diffraction And Interference
Section: Chapter Questions
Problem 40PQ
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A mixture of violet light (wavelength of 410 nm) and red light (wavelength of 660 nm)
falls on a diffraction grating that contains 1 x 104 lines/cm. For each wavelength, find the
angle that corresponds to the first-order maxima. Draw a sketch to support your answer.
(I know the answers are violet 24 degrees; red 41 degrees. I just want to see the process)

Young's double-slit experiment (bright fringe): d sin 0 = m1
dYm = m2
L
AL
Fringe spacing: Ay =
d
Diffraction Grating (bright fringe) d sin 0 = m2
Thin Film Interference (constructive for film of index n immersed in air):
1
2t
m
2' =
n
Thin Film Interference (constructive for film of index n on a higher index substrate in air):
2t = m2'
n
Single-Slit Diffraction
Location of minima: a sin O = m2
mAL
Ym
(Width of central maximum: w = 2yı)
а
2.44AL
Spherical Aperture: W=
Transcribed Image Text:Young's double-slit experiment (bright fringe): d sin 0 = m1 dYm = m2 L AL Fringe spacing: Ay = d Diffraction Grating (bright fringe) d sin 0 = m2 Thin Film Interference (constructive for film of index n immersed in air): 1 2t m 2' = n Thin Film Interference (constructive for film of index n on a higher index substrate in air): 2t = m2' n Single-Slit Diffraction Location of minima: a sin O = m2 mAL Ym (Width of central maximum: w = 2yı) а 2.44AL Spherical Aperture: W=
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