92 Figure 35-56a shows two light rays that are initially in phase as they travel upward through a block of plastic, with wavelength 400 nm as measured in air. Light ray r, exits directly into air. However, before light ray r, exits into air, it travels through a liquid in a hollow cylinder within the plastic. Initially the height Lúq of the liquid is 40.0 um, but then the liquid begins to evaporate. Let o be the phase difference between rays r, and r, once they both exit into the air. Figure 35-56b shows versus the liquid's height Lig until the liquid disappears, with o given in terms of wavelength and the horizontal scale set by L, = 40.00 µm. What are (a) the index of refraction of the plastic and (b) the index of refraction of the liquid? 60 L'ia 20 - Plastic L, Liq (um) (a) (6) (Y) ¢

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Chapter3: Interference
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Problem 91CP: A film of oil on water will appear dark when it is very thin, because the path length difference...
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92 Figure 35-56a shows two light rays that are initially in phase
as they travel upward through a block of plastic, with wavelength
400 nm as measured in air. Light ray r, exits directly into air.
However, before light ray r, exits into air, it travels through a liquid
in a hollow cylinder within the plastic. Initially the height Lúq of the
liquid is 40.0 um, but then the liquid begins to evaporate. Let o be
the phase difference between rays r, and r, once they both exit into
the air. Figure 35-56b shows versus the liquid's height Lig
until the liquid disappears, with o given in terms of wavelength and
the horizontal scale set by L, = 40.00 µm. What are (a) the index of
refraction of the plastic and (b) the index of refraction of the
liquid?
60
L'ia
20
- Plastic
L,
Liq (um)
(a)
(6)
(Y) ¢
Transcribed Image Text:92 Figure 35-56a shows two light rays that are initially in phase as they travel upward through a block of plastic, with wavelength 400 nm as measured in air. Light ray r, exits directly into air. However, before light ray r, exits into air, it travels through a liquid in a hollow cylinder within the plastic. Initially the height Lúq of the liquid is 40.0 um, but then the liquid begins to evaporate. Let o be the phase difference between rays r, and r, once they both exit into the air. Figure 35-56b shows versus the liquid's height Lig until the liquid disappears, with o given in terms of wavelength and the horizontal scale set by L, = 40.00 µm. What are (a) the index of refraction of the plastic and (b) the index of refraction of the liquid? 60 L'ia 20 - Plastic L, Liq (um) (a) (6) (Y) ¢
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