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Chapter 33: Q4Q (page 1000)
Figure 33-28 shows the electric and magnetic fields of an electromagnetic wave at a certain instant. Is the wave traveling into the page or out of the page?
The direction of the wave is into the page.
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The primary rainbow described in Problem 77 is the type commonly seen in regions where rainbows appear. It is produced by light reflecting once inside the drops. Rarer is the secondary 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
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 deviation for (e) the red light and (f) the blue light in this rainbow? (g) What is the rainbow鈥檚 angular width?
In Fig. 33-51, light is incident at angle on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. Ifand, what is the value of
(a)in the air and
(b) in the bottom material?
The magnetic component of an electromagnetic wave in vacuum has an amplitude of and an angular wave number of What are (a) the frequency of the wave, (b) the rms value of the electric component, and(c) the intensity of the light?
When the rectangular metal tank in the Figure is filled to the top with an unknown liquid, the observer , with eyes level with the top of the tank, can just see the corner. A ray that refracts towardthe top surface of the liquid is shown. Ifso, what is the index of refraction of the liquid?
Figure:
In Fig. 33-29, unpolarized light is sent into a system of five polarizing sheets. Their polarizing directions, measured counterclockwise from the positive direction of the y axis, are the following: sheet 1,; sheet 2, ; sheet 3,; sheet 4,; sheet 5,. Sheet 3 is then rotated,counterclockwise about the light ray. During that rotation, at what angles (measured counterclockwise from the y axis) is the transmission of light through the system eliminated?
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