Physics For Scientists And Engineers
6th Edition
ISBN: 9781429201247
Author: Paul A. Tipler, Gene Mosca
Publisher: W. H. Freeman
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A ray of light passes from air through dense flint glass and then back into air. The angle of incidence on the first glass surface is 67.0°.
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Chapter 36, Problem 073
Consider a two-dimensional square crystal structure, such as one side of the structure shown in the
figure. The largest interplanar spacing of reflecting planes is the unit cell size ap. Find the (a)
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CF
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(a) 2 Edit
(b) 2 Edit
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The glass core of an optical fiber has index of refraction 1.60. The index of refraction of the cladding is 1.48. What is the maximum angle between a light ray and the wall of the core if the ray is to remain inside the core?
Chapter 31 Solutions
Physics For Scientists And Engineers
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- A layer of liquid B floats on liquid A. A ray of light begins in liquid A and undergoes total internal reflection at the interface between the liquids when the angle of incidence exceeds 37.4°. When liquid B is replaced with liquid C, total internal reflection occurs for angles of incidence greater than 53.8°. Find the ratio ng/nc of the refractive indices of liquids B and C. Number i Unitsarrow_forward(a) The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 54.0°? (b) What If? What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?arrow_forwardAn aquarium is filled with water to a height of h A ray of light passes through the air above (n1 down into the water (n2 01 = 24°. It reflects off the bottom surface of the glass and travels upward back toward the water-air boundary. When 7.5 cm. 1.00) and 1.33) with an angle of incidence A this ray of light emerges from the water and back into the air, how far will it be from the point where it first entered the water?arrow_forward
- Problem 2 . (III) A beam of light enters the end of an optic fiber as shown in Fig. 32-59. (a) Show that we can guarantee total internal reflection at the side surface of the material (at point A), if the index of refraction is greater than about 1.42. In other words, regardless of the angle a, the light beam reflects back into the material at point A, assuming air outside. FIGURE 32-59 Problem 66. A B L ident Air Transparent o dose materialarrow_forwardIn the figure, light is incident at angle 8₁ = 39° 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. If n₁ = 1.28, n₂ = 1.38, n3 = 1.34 and n4 = 1.45, what is the value of (a) 05 and (b) 04? 18₁ Air m n₂ 173 naarrow_forward109 In Fig. 34-54, a fish watcher at point P watches a fish through a glass wall of a fish tank. The watcher is level with the fish; the index of re- fraction of the glass is 8/5, and that Watcher of the water is 4/3. The distances are di = 8.0 cm, dz = 3.0 cm, and dz = 6.8 cm. (a) To the fish, how far away does the watcher appear to be? (Hint: The watcher is the object. Light from that object passes through the wall's outside surface, which acts as a refracting sur- face. Find the image produced by that surface. Then treat that im- age as an object whose light passes through the wall's inside sur- face, which acts as another refracting surface.) (b) To the watcher, how far away does the fish appear to be? de D Wall Figure 34-54 Problem 109.arrow_forward
- K A light ray with a wavelength of 589 nanometers (produced by a sodium lamp) traveling through air makes an angle of = to find the angle of refraction, V2 sin 0₁ V₁ y incidence of 55° on a smooth, flat slab of dense flint glass. Use Snell's Law, sin 02 where the index of refraction is 1.66. ... The angle of refraction is approximately degrees. (Type an integer or decimal rounded to two decimal places as needed.)arrow_forwardThe refractive index of a transparent material can be determined by measuring the critical angle when the solid is in air. If 0c = 20° what is the index of refraction of the material? с Units no units required The index of refraction, n = What will be the critical angle when the same material is immersed in a medium with the index of refraction 1.17? The critical angle, 0c = Units degarrow_forwardAs shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction ?2for the light in the olive oil is 33.4°, determine the angle of incidence ?1in air and the angle of refraction ?3in water. The index of refraction for olive oil is 1.47.?1 = °?3 = °arrow_forward
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