Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 33, Problem 78P
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
θdev = (180°)k + 20i, - 2(k+ 1) θr,
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’s angular width?
Figure 33-68 Problem 78.
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Students have asked these similar questions
63 In Fig. 33-60, light enters a 90°
triangular prism at point P with inci-
dent angle 6, and then some of it
refracts at point Q with an angle of
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dex of refraction of the prism in
terms of 6? (b) What, numerically,
is the maximum value that the index of refraction can have? Does
light emerge at Q if the incident angle at P is (c) increased slightly
and (d) decreased slightly?
Figure 33-60 Problem 63.
106 In Fig. 33-78, where n, = 1.70,
n2 = 1.50, and nz = 1.30, light re-
%3D
fracts from material 1 into material
2. If it is incident at point A at the
critical angle for the interface be-
tween materials 2 and 3, what are
(a) the angle of refraction at point B
and (b) the initial angle 0? If, in-
stead, light is incident at B at the
critical angle for the interface between materials 2 and 3, what are
(c) the angle of refraction at point A and (d) the initial angle e? If,
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for the interface between materials 2 and 3, what are (e) the angle
of refraction at point B and (f) the initial angle 6?
Figure 33-78 Problem 106.
53 SSM www ILW In Fig. 33-53, a ray is incident on one face
of a triangular glass prism in air. The angle of incidence e is chosen
so that the emerging ray also makes the same angle e with the nor-
mal to the other face. Show that the index of refraction n of the
glass prism is given by
sin ( + 6)
sin o
where o is the vertex angle of the prism and is the deviation
angle, the total angle through which the beam is turned in passing
through the prism. (Under these conditions the deviation angle u
has the smallest possible value, which is called the angle of mini-
mum deviation.)
Figure 33-53 Problems 53 and 64.
Chapter 33 Solutions
Fundamentals of Physics Extended
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Ch. 33 - Prob. 11QCh. 33 - Prob. 12QCh. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - About how far apart must you hold your hands for...Ch. 33 - SSM What inductance must be connected to a 17 pF...Ch. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10PCh. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - Sunlight just outside Earths atmosphere has an...Ch. 33 - Prob. 14PCh. 33 - An airplane flying at a distance of 10 km from a...Ch. 33 - Prob. 16PCh. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Radiation from the Sun reaching Earth just outside...Ch. 33 - ILW What is the radiation pressure 1.5 m away from...Ch. 33 - Prob. 22PCh. 33 - Someone plans to float a small, totally absorbing...Ch. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Prob. 27PCh. 33 - The average intensity of the solar radiation that...Ch. 33 - SSM A small spaceship with a mass of only 1.5 103...Ch. 33 - A small laser emits light at power 5.00 mW and...Ch. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33PCh. 33 - Prob. 34PCh. 33 - Prob. 35PCh. 33 - At a beach the light is generally partially...Ch. 33 - Prob. 37PCh. 33 - Prob. 38PCh. 33 - Prob. 39PCh. 33 - Prob. 40PCh. 33 - A beam of polarized light is sent into a system of...Ch. 33 - Prob. 42PCh. 33 - A beam of partially polarized light can be...Ch. 33 - Prob. 44PCh. 33 - When the rectangular metal tank in Fig. 33-46 is...Ch. 33 - In Fig. 33-47a, a light ray in an underlying...Ch. 33 - Light in vacuum is incident on the surface of a...Ch. 33 - In Fig. 33-48a, a light ray in water is incident...Ch. 33 - Figure 33-49 shows light reflecting from two...Ch. 33 - In Fig. 33-50a, a beam of light in material 1 is...Ch. 33 - GO In Fig. 33-51, light is incident at angle 1 =...Ch. 33 - In Fig. 33-52a, a beam of light in material 1 is...Ch. 33 - SSM WWW ILW in Fig. 33-53, a ray is incident on...Ch. 33 - Prob. 54PCh. 33 - Prob. 55PCh. 33 - Rainbows from square drops. Suppose that, on some...Ch. 33 - A point source of light is 80.0 cm below the...Ch. 33 - The index of refraction of benzene is 1.8. What is...Ch. 33 - SSM ILW In Fig. 33-57, a ray of light is...Ch. 33 - In Fig. 33-58, light from ray A refracts from...Ch. 33 - GO In Fig. 33-59, light initially in material 1...Ch. 33 - GO A catfish is 2.00 m below the surface of a...Ch. 33 - In Fig. 33-60, light enters a 90 triangular prism...Ch. 33 - Suppose the prism of Fig. 33-53 has apex angle =...Ch. 33 - GO Figure 33-61 depicts a simplistic optical...Ch. 33 - Prob. 66PCh. 33 - GO In the ray diagram of Fig. 33-63, where the...Ch. 33 - a At what angle of incidence will the light...Ch. 33 - Prob. 69PCh. 33 - In Fig. 33-64, a light ray in air is incident on a...Ch. 33 - Prob. 71PCh. 33 - An electromagnetic wave with frequency 4.00 1014...Ch. 33 - Prob. 73PCh. 33 - A particle in the solar system is under the...Ch. 33 - SSM In Fig, 33-65, a light ray enters a glass slab...Ch. 33 - Prob. 76PCh. 33 - Rainbow. Figure 33-67 shows a light ray entering...Ch. 33 - The primary rainbow described in Problem 77 is the...Ch. 33 - SSM emerges from the opposite face parallel to its...Ch. 33 - Prob. 80PCh. 33 - Prob. 81PCh. 33 - Prob. 82PCh. 33 - SSM A ray of white light traveling through fused...Ch. 33 - Three polarizing sheets are stacked. The first and...Ch. 33 - In a region of space where gravirational forces...Ch. 33 - An unpolarized beam of light is sent into a stack...Ch. 33 - SSM During a test, a NATO surveillance radar...Ch. 33 - The magnetic component of an electromagnetic wave...Ch. 33 - Calculate the a upper and b lower limit of the...Ch. 33 - In Fig. 33-71, two light rays pass from air...Ch. 33 - Prob. 91PCh. 33 - In about A D 150, Claudius Ptolemy gave the...Ch. 33 - Prob. 93PCh. 33 - Prob. 94PCh. 33 - Prob. 95PCh. 33 - Prob. 96PCh. 33 - Two polarizing sheets, one directly above the...Ch. 33 - Prob. 98PCh. 33 - Prob. 99PCh. 33 - Prob. 100PCh. 33 - Prob. 101PCh. 33 - Prob. 102PCh. 33 - Prob. 103PCh. 33 - Prob. 104PCh. 33 - Prob. 105PCh. 33 - In Fig. 33-78, where n1 = l.70, n2 = l .50, and n3...Ch. 33 - When red light in vacuum is incident at the...Ch. 33 - Prob. 108PCh. 33 - SSM a Show that Eqs. 33-1 land 33-2 satisfy the...Ch. 33 - Prob. 110P
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