Orange light (661 nm in air) shines on a soap film (n = 1.33) that has air on either side. The light strikes the film perpendicularly. What is the minimum thickness of the film for which constructive interference causes it to look bright in reflected light? (I know the answer is 124 nm. I just want to see the process)

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Chapter1: Units, Trigonometry. And Vectors
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Orange light (661 nm in air) shines on a soap film (n = 1.33) that has air on either side.
The light strikes the film perpendicularly. What is the minimum thickness of the film for
which constructive interference causes it to look bright in reflected light? (I know the answer is 124 nm. 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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