FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS
11th Edition
ISBN: 9781119459132
Author: Halliday
Publisher: WILEY
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Textbook Question
Chapter 33, Problem 9Q
Figure 33-32 shows four long horizontal layers A–D of different materials, with air above and below them. The index of refraction of each material is given. Rays of light are sent into the left end of each layer as shown. In which layer is there the possibility of totally trapping the light in that layer so that, after many reflections, all the light reaches the right end of the layer?
Figure 33-32 Question 9.
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63 In Fig. 33-60, light enters a 90°
triangular prism at point P with inci-
dent angle 0, and then some of it
refracts at point Q with an angle of
refraction of 90°. (a) What is the in-
dex of refraction of the prism in
terms of 0? (b) What, numerically,
Air
Q
Figure 33-60 Problem 63.
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?
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
refraction of 90°. (a) What is the in-
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.
79 SSM (a) Prove that a ray of light incident on the surface of a
sheet of plate glass of thickness t emerges from the opposite face
parallel to its initial direction but displaced sideways, as in Fig. 33-69.
(b) Show that, for small angles of incidence 0, this displacement is
given by
п - 1
x = te-
п
where n is the index of refraction of the glass and e is measured in
radians.
Figure 33-69 Problem 79.
Chapter 33 Solutions
FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS
Ch. 33 - Prob. 1QCh. 33 - Prob. 2QCh. 33 - a Figure 33-27 shows light reaching a polarizing...Ch. 33 - Prob. 4QCh. 33 - In the arrangement of Fig. 33-l5a, start with...Ch. 33 - Prob. 6QCh. 33 - Figure 33-30 shows fays of monochromatic Light...Ch. 33 - Figure 33-31 shows the multiple reflections of a...Ch. 33 - Figure 33-32 shows four long horizontal layers AD...Ch. 33 - The leftmost block in Fig. 33-33 depicts total...
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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- 61 Go In Fig. 33-59, light initially in material 1 refracts into material 2, crosses that material, and is then incident at the critical angle on the interface between materials 2 and 3. The indexes of refraction are 1 = 1.60, n2 = 1.40, and n3 = 1.20. (a) What is angle e? (b) If e is in- creased, is there refraction of light into material 3?arrow_forward53 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.arrow_forward*67 O In the ray diagram of Fig. 33-63, where the angles are not drawn to scale, the ray is incident at the critical angle on the inter- face between materials 2 and 3. Angle o = 60.0°, and two of the in- dexes of refraction are n = 1.70 and n2 = 1.60. Find (a) index of refraction n3 and (b) angle 0. (c) If øi decreased, does light refract into material 3? Figure 33-63 Problem 67.arrow_forward
- 46 In Fig. 33-47a, a light ray in an underlying material is incident at angle on a boundary with water, and some of the light refracts into the water. There are two choices of underlying ma- terial. For each, the angle of refraction 02 versus the incident angle is given in Fig. 33-47b. The horizontal axis scale is set by 0₁s = 90°. Without calculation, determine whether the index of refraction of (a) material 1 and (b) material 2 is greater or less than the index of water (n = 1.33). What is the index of refrac- tion of (c) material 1 and (d) material 2? Water (a) 0₂ 90° 45° 0° 1 (b) Figure 33-47 Problem 46. -0₁ 01sarrow_forwardis 90°. 48 In Fig. 33-48a, a light ray in water is incident at angle on a boundary with an underlying material, into which some of the light refracts. There are two choices of underlying material. For each, the angle of refraction 02 versus the incident angle given in Fig. 33-48b. The vertical axis scale is set by 02 Without calculation, determine whether the index of refraction of (a) material 1 and (b) material 2 is greater or less than the index of water (n = 1.33). What is the index of refraction of (c) material 1 and (d) material 2? Water (a) 0₂ 02s 0° 45° (b) Figure 33-48 Problem 48. 2 90° =arrow_forward6 In Fig. 33-29, unpolarized light is sent into a system of five polarizing sheets. Their polarizing directions, -x measured counterclockwise from the positive direction of the y axis, are the following: sheet 1, 35°; sheet 2, 0°; sheet 3, 0°; sheet 4, 110°; sheet 5, 45°. Sheet 3 is then rotated 180° counter- clockwise about the light ray. During that rotation, at what angles (mea- sured counterclockwise from the y axis) is the transmission of light through the system eliminated? Figure 33-29 Question 6.arrow_forward
- 40 0 In Fig. 33-42, unpolarized light is sent into a system of three polarizing sheets. The angles 61, 62, and 6, of the polariz- ing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 0, and 0z are fixed, but angle 6, can be varied. Figure 33-44 gives the intensity of the light emerging from sheet 3 as a function of 6. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when 0, = 90°? 0° 60° 120° 180° Figure 33-44 Problem 40.arrow_forwardA metallic sphere A of radius 'R' is completely enclosed by a metallic spherical shell 'B' (made up of same material) of inner radius '2R' and outer radius '4R'. Outer surface of B is highly polished and is perfectly reflecting. Inner surface of 'B' and outer surface of 'A' behave like black bodies. Initially A is emitting radiations of maximum intensity near wavelength 2 and B is emitting radiations of maximum intensity near wavelength 62. After sufficiently long time, both will emit radiations of maximum intensity corresponding 5. 19X E2. Find X. 31 to wavelengtharrow_forward..54 Dispersion in a window pane. In gle e Fig. 33-54, a beam of white light is incident at an- 50° on a common window pane (shown in cross section). For the pane's type of glass, the index of refraction for visible light ranges from 1.524 at the blue end of the spectrum to 1.509 at the red end. The two sides of the pane are paral- lel. What is the angular spread of the colors in the beam (a) when the light enters the pane and (b) when it emerges from the opposite side? (Hint: When you look at an object through a window pane, are the colors the light from the object dispersed as shown in, say, Fig. 33-20?) = Ꮎ Figure 33-54 Problem 54.arrow_forward
- 12 In Fig. 33-35, light travels from material a, through three layers of other materials with surfaces parallel to one another, and then back into an- other layer of material a. The refrac- tions (but not the associated reflec- tions) at the surfaces are shown. Rank the materials according to index of re- fraction, greatest first. (Hint: The par- allel arrangement of the surfaces al- lows comparison.) Figure 33-35 Question 12.arrow_forwardA beam of white light is incident on a slab of dense flint glass at an angle of incidence of 60°. Flint glass, as with most materials, displays a dispersion where the refractive index is a function of the wavelength of incident light. We can often write this dispersion using the Cauchy relation n(2)=A+B^(-2). For the case of Flint glass, A = 1.728, and B = 0.01342 µm2. What is the difference in angle of the refracted beam between blue light of wavelength 400 nm, and red light of wavelength 700 nm?arrow_forwardIn the figure, light from ray A refracts from material 1 (n₁ = 1.73) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.40). (a) What is the value of incident angle BA? (b) If 8A is decreased, does part of the light refract into material 3? Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle Og? (d) If Og is decreased, does part of the light refract into material 3? OB I ng no 121arrow_forward
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