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Exercise:
In a soap film yellow light laO is cancelled due to destructive erference. Calculate the thickness of the soap film several solutions.

Solution:
The refractive index of soap solution is very close to that of water. At a wavelength of laO the value is nnO. vspacemm The part of the incoming wave reflected when it first hits the surface of the soap film experiences a phaseshift of pi. The part reflected when the wave gets to the other side of the soap film travels an additional distance d_ h where h is the thickness of the film. The phase difference between the two parts of the wave can be expressed as Deltaphi pifrachlambda'-pipifrach nlambda-pi where n is the refractive index of the soap solution. The condition for destructive erference is Deltaphi pifrach nlambda-pi m+ pi Longrightarrow fracnlambda h- m+ with minZ. Solving for h yields h hF For mmO we get h_ fracfraclan resulthP For m and m we get h_haP and h_hbP respectively.
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Exercise:
In a soap film yellow light laO is cancelled due to destructive erference. Calculate the thickness of the soap film several solutions.

Solution:
The refractive index of soap solution is very close to that of water. At a wavelength of laO the value is nnO. vspacemm The part of the incoming wave reflected when it first hits the surface of the soap film experiences a phaseshift of pi. The part reflected when the wave gets to the other side of the soap film travels an additional distance d_ h where h is the thickness of the film. The phase difference between the two parts of the wave can be expressed as Deltaphi pifrachlambda'-pipifrach nlambda-pi where n is the refractive index of the soap solution. The condition for destructive erference is Deltaphi pifrach nlambda-pi m+ pi Longrightarrow fracnlambda h- m+ with minZ. Solving for h yields h hF For mmO we get h_ fracfraclan resulthP For m and m we get h_haP and h_hbP respectively.
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Interference
Tags
path difference, thin-film interference
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Difficulty
(3, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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Link