41 through 52 GO 43, 51 SSM 47, 51 Reflection by thin layers . In Fig. 35-42, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays r 1 and r 2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-2 refers to the indexes of refraction n 1 , n 2 , and n 3 , the type of interference, the thin-layer thickness L in nanometers, and the wavelength λ in nanometers of the light as measured in air. Where λ is missing, give the wavelength that is in the visible range. Where L is missing, give the second least thickness or the third least thickness as indicated. Figure 35-42 Problems 41 through 52 Table 35-2 Problems 41 through 52: Reflection by Thin Layers. See the setup for these problems. n 1 n 2 n 3 Type L λ 41 1.68 1.59 1.50 min 2nd 342
41 through 52 GO 43, 51 SSM 47, 51 Reflection by thin layers . In Fig. 35-42, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays r 1 and r 2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-2 refers to the indexes of refraction n 1 , n 2 , and n 3 , the type of interference, the thin-layer thickness L in nanometers, and the wavelength λ in nanometers of the light as measured in air. Where λ is missing, give the wavelength that is in the visible range. Where L is missing, give the second least thickness or the third least thickness as indicated. Figure 35-42 Problems 41 through 52 Table 35-2 Problems 41 through 52: Reflection by Thin Layers. See the setup for these problems. n 1 n 2 n 3 Type L λ 41 1.68 1.59 1.50 min 2nd 342
41 through 52 GO 43, 51 SSM 47, 51 Reflection by thin layers. In Fig. 35-42, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays r1 and r2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-2 refers to the indexes of refraction n1, n2, and n3, the type of interference, the thin-layer thickness L in nanometers, and the wavelength λ in nanometers of the light as measured in air. Where λ is missing, give the wavelength that is in the visible range. Where L is missing, give the second least thickness or the third least thickness as indicated.
Figure 35-42 Problems 41 through 52
Table 35-2 Problems 41 through 52: Reflection by Thin Layers. See the setup for these problems.
www In Fig. 35-48,
an airtight chamber of length d
5.0 cm is placed in one of the arms
of a Michelson interferometer. (The
glass window on each end of the cham-
ber has negligible thickness.) Light of
wavelength A = 500 nm is used.
Evacuating the air from the chamber
causes a shift of 60 bright fringes. From
these data and to six significant figures,
81 SSM
Mirror
%3D
Source
Mirror
To vacuum
find the index of refraction of air at
pump
atmospheric pressure.
What is the angle of refraction of the incident light is on air (n-1) and glass (n=1.42) boundary, if the
angle of refraction is 1/2 of the angle of reflection?
Note: Sin(20) = 2 Sin(0)Cos(0)
O 37°
O 39°
O 41°
O 45°
43°
103 In Fig. 35-59, an oil drop (n = 1.20) floats on the surface of wa-
ter (n = 1.33) and is viewed from overhead when illuminated by sun-
light shining vertically downward and reflected vertically upward. (a)
Are the outer (thinnest) regions of the drop bright or dark? The oil
film displays several spectra of colors. (b) Move from the rim inward
to the third blue band and, using a wavelength of 475 nm for blue
light, determine the film thickness there. (c) If the oil thickness in-
creases, why do the colors gradually fade and then disappear?
%3D
Oil
Water
Figure 35-59 Problem 103.
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