In Fig. 35-59, an oil drop ( n = 1.20) floats on the surface of water ( n = 1.33) and is viewed from overhead when illuminated by sunlight 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 increases, why do the colors gradually fade and then disappear? Figure 35-59 Problem 103.
In Fig. 35-59, an oil drop ( n = 1.20) floats on the surface of water ( n = 1.33) and is viewed from overhead when illuminated by sunlight 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 increases, why do the colors gradually fade and then disappear? Figure 35-59 Problem 103.
In Fig. 35-59, an oil drop (n = 1.20) floats on the surface of water (n = 1.33) and is viewed from overhead when illuminated by sunlight 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 increases, why do the colors gradually fade and then disappear?
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.
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.
78 E The primary rainbow described in Problem 77 is the
type commonly seen in regions where rainbows appear. It is pro-
duced by light reflecting once inside the drops. Rarer is the sec-
ondary rainbow described in Module 33-5, produced by light
reflecting twice inside the drops (Fig. 33-68a). (a) Show that the
angular deviation of light entering and then leaving a spherical
water drop is
Odev = (180°)k + 20, – 2(k + 1)8,,
where k is the number of internal reflections. Using the procedure
of Problem 77, find the angle of minimum deviation for (b) red
light and (c) blue light in a secondary rainbow. (d) What is the
angular width of that rainbow (Fig. 33-21d)?
The tertiary rainbow depends on three internal reflections
(Fig. 33-68b). It probably occurs but, as noted in Module 33-5,
cannot be seen with the eye because it is very faint and lies in the
bright sky surrounding the Sun. What is the angle of minimum de-
viation for (e) the red light and (f) the blue light in this rainbow?
(g)…
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