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 35P
To determine
The maximum angle for which the light ray is subjected to total internal reflections.
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Consider a light ray traveling between air and a diamond cut in the shape shown in Figure P22.42. (a) Find the critical angle for total internal reflection for light in the diamond incident on the interface between the diamond and the outside air. (b) Consider the light ray incident normally on the top surface of the diamond as shown in Figure P22.42. Show that the light traveling toward point P in the diamond is totally reflected. (c) If the diamond is immersed in water, find the critical angle at the diamond−water interface. (d) When the diamond is immersed in water, does the light ray entering the top surface in Figure P22.42 undergo total internal reflection at P ? Explain. (e) If the light ray entering the diamond remains vertical as shown in Figure P22.42, which way should the diamond in the water be rotated about an axis perpendicular to the page through 0 so that light will exit the diamond at P ? (f) At what angle of rotation in part (e) will light first exit the diamond at…
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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- Curved glassair interfaces like those observed in an empty shot glass make it possible for total internal reflection to occur at the shot glasss internal surface. Consider a glass cylinder (n = 1.54) with an outer radius of 2.50 cm and an inner radius of 2.00 cm as shown in Figure P38.105. Find the minimum angle i such that there is total internal reflection at the inner surface of the shot glass. FIGURE P38.105 Problems 105 and 106.arrow_forwardConsider a light ray that enters a pane of glass with air on one side and water on the other side as shown in Figure P38.21. The light ray experiences refraction at the first interface when it enters the glass from the water and again at the second interface when it exits the glass into the air. Assume the index of refraction of the glass is 1.54. For a ray of light, find the angle of incidence 1 in the water such that the ray experiences total internal reflection when it strikes the glassair interface on the other side. FIGURE P38.21arrow_forwardN A fish is 3.25 m below the surface of still water. Because of total internal reflection, it is hidden from the view of a fisher in a boat on the water as long as the boat is outside a circle of radius r. The center of the circle is directly above the fish (Fig. P38.16). Find the minimum value of r.arrow_forward
- Light 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_forwardIn the figure, a beam of light from an underwater source is incident on a layer of carbon disulfide (CS2) and the glass bottom of the container. Some of the reflected and refracted rays are shown. the indices of refraction are: Water: 1.333, CS2: 1.600, Glass: 1.500. Water, n=1.333 B A CS2, n=1.600 Glass,n-1.500 What is the phase shift upon reflection at the water/CS, interface? O 45 degrees O O degrees O 20 degrees 90 degrees O 180 degreesarrow_forwardA 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.arrow_forward
- A light ray is incident at an angle x on the top surface of a block of plastic with n = 1.49. Find the maximum value of x for which the refracted ray undergoes total internal reflection at point P at the left vertical interface of the block. Assume the block is immersed in water (nWATER = 1.33 ).arrow_forwardA light ray is incident normal to one face of a triangular block and strikes point P on the other side. The block is made of material with index of refraction of 1.71. The block is immersed in oil, having index of refraction of 1.10. What is the maximum angle y for which total internal reflection occurs at P? P O Not possible to have total reflection at P. O 30° O 60° O 50° O 40° O 45°arrow_forwardThe bottom of a glass bottom boat allows tourists to see the coral reefs in Australia. The indices of refraction are as follows: air(n=1), glass(n=1.55), water(n=1.330).If a light ray coming from above hits the glass at an angle of 60.0deg to the normal, what is the refracted angle (deg) inside the water?arrow_forward
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