Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 25, Problem 18P
To determine
To show that the emergent ray will intersect the incident ray at angle of
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A transparent cylinder of radius R = 2.00 m has a mirrored surface on its right half, as shown in Figure P22.55 (page 800). A light ray traveling in air is incident on the left side of the cylinder. The incident light ray and the exiting light ray are parallel, and d = 2.00 m. Determine the index of refraction of the material.
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Chapter 25 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 25.3 - Prob. 25.1QQCh. 25.4 - If beam is the incoming beam in Active Figure...Ch. 25.4 - Light passes from a material with index of...Ch. 25.4 - Prob. 25.4QQCh. 25.5 - Prob. 25.5QQCh. 25.7 - Prob. 25.6QQCh. 25.7 - Prob. 25.7QQCh. 25 - Prob. 1OQCh. 25 - Prob. 2OQCh. 25 - What happens to a light wave when it travels from...
Ch. 25 - Prob. 4OQCh. 25 - The index of refraction for water is about 43....Ch. 25 - Prob. 6OQCh. 25 - Light traveling in a medium of index of refraction...Ch. 25 - Prob. 8OQCh. 25 - The core of an optical fiber transmits light with...Ch. 25 - Prob. 10OQCh. 25 - A light ray travels from vacuum into a slab of...Ch. 25 - Prob. 12OQCh. 25 - Prob. 13OQCh. 25 - Prob. 14OQCh. 25 - Prob. 1CQCh. 25 - Prob. 2CQCh. 25 - Prob. 3CQCh. 25 - Prob. 4CQCh. 25 - Prob. 5CQCh. 25 - Prob. 6CQCh. 25 - Prob. 7CQCh. 25 - Prob. 8CQCh. 25 - Prob. 9CQCh. 25 - Prob. 10CQCh. 25 - Prob. 11CQCh. 25 - Prob. 12CQCh. 25 - Prob. 1PCh. 25 - Prob. 2PCh. 25 - Prob. 3PCh. 25 - Prob. 4PCh. 25 - Prob. 5PCh. 25 - Prob. 6PCh. 25 - Prob. 7PCh. 25 - An underwater scuba diver sees the Sun at an...Ch. 25 - Prob. 9PCh. 25 - Prob. 10PCh. 25 - A ray of light is incident on a flat surface of a...Ch. 25 - A laser beam is incident at an angle of 30.0 from...Ch. 25 - Prob. 13PCh. 25 - A light ray initially in water enters a...Ch. 25 - Find the speed of light in (a) flint glass, (b)...Ch. 25 - Prob. 16PCh. 25 - Prob. 17PCh. 25 - Prob. 18PCh. 25 - Unpolarized light in vacuum is incident onto a...Ch. 25 - Prob. 20PCh. 25 - Prob. 21PCh. 25 - Prob. 22PCh. 25 - Prob. 23PCh. 25 - Prob. 24PCh. 25 - 14. A ray of light strikes the midpoint of one...Ch. 25 - Prob. 26PCh. 25 - Prob. 27PCh. 25 - Prob. 28PCh. 25 - Prob. 29PCh. 25 - Prob. 30PCh. 25 - Prob. 31PCh. 25 - Around 1965, engineers at the Toro Company...Ch. 25 - Prob. 33PCh. 25 - Prob. 34PCh. 25 - Prob. 35PCh. 25 - Prob. 36PCh. 25 - Prob. 37PCh. 25 - Prob. 38PCh. 25 - Prob. 39PCh. 25 - Prob. 40PCh. 25 - Prob. 41PCh. 25 - Prob. 42PCh. 25 - A 4.00-m-long pole stands vertically in a...Ch. 25 - Prob. 44PCh. 25 - Prob. 45PCh. 25 - Prob. 46PCh. 25 - Prob. 47PCh. 25 - Prob. 48PCh. 25 - When light is incident normally on the interface...Ch. 25 - Prob. 50PCh. 25 - Prob. 51PCh. 25 - Prob. 52PCh. 25 - The light beam in Figure P25.53 strikes surface 2...Ch. 25 - Prob. 54PCh. 25 - Prob. 55PCh. 25 - Prob. 56PCh. 25 - Prob. 57PCh. 25 - Prob. 58PCh. 25 - Prob. 59PCh. 25 - Prob. 60PCh. 25 - Prob. 61PCh. 25 - Prob. 62P
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- Figure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forwardHow many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardLight is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made of plastic with an index of refraction of 1.46 for red light and 1.49 for blue light. Assume the apex angle of the prism is 60.00. a. Sketch the approximate paths of the rays for red and blue light as they travel through and then exit the prism. b. Determine the measure of dispersion, the angle between the red and blue rays that exit the prism. Figure P38.31arrow_forward
- Figure P36.95 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens, (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the filial image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forwardFigure P26.72 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the final image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forward
- Light traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.arrow_forwardIn the figure, light is incident at angle θ1 = 40.1° on a boundary between two transparent materials. Some of the light travels down through the next 3 layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.30, n2 = 1.40, n3 =1.32 and n4 = 1.45, what is the value of:(a) θ5 and(b) θ4?arrow_forwardA ray of light strikes a flat glass block at an incidence angle of ?1 = 34.4°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.20. A light ray incident on a glass block of thickness 2.00 cm is shown. The ray travels down and to the right and is incident to the top of the block at an angle ?1 to the normal of the surface. The ray inside the block moves down and to the right but at a steeper slope than the incident ray, making an angle of ?2 with the vertical. It is incident on the bottom surface of the block, making an angle of ?3 with the vertical, and exits moving down and to the right, at a less steep slope, making an angle of ?4 with the vertical. A dashed line extends from the original path of the ray down in the block and is shown to be a distance d from the ray that exits the glass block. d) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? cm (e) At…arrow_forward
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