College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 22, Problem 50AP
A narrow beam of light is incident from air onto a glass surface with index of refraction 1.56. Find the angle of incidence for which the corresponding angle of refraction is one-half the angle of incidence. Hint: You might want to use the trigonometric identity sin 2θ = 2 sin θ cos θ.
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A beam of light strikes the surface of glass (n = 1.46) at an angle of 70 degrees with respect to the normal. Find the angle of refraction inside the glass. Take the index of refraction of air n1 = 1.
A narrow beam of light is incident from air onto a glass surface with index of refraction 1.56. Find the angle of incidence for which the corresponding angle of refraction is one-half the angle of incidence. Hint: You might want to use the trigonometric identity sin 20 = 2 sin0 cos θ
A ray of light crosses the boundary between some substance with n = 1.61 and air, going from the substance into air. If the angle of incidence is 18◦ what is the angle of refraction?
Calculate to 1decimal.
Chapter 22 Solutions
College Physics
Ch. 22.2 - Which part of Figure 22.3, (a) or (b), better...Ch. 22.2 - Prob. 22.2QQCh. 22.3 - A material has an index of refraction that...Ch. 22.3 - As light travels from a vacuum (n = 1) to a medium...Ch. 22 - Prob. 1CQCh. 22 - A ray of light passes from one material into a...Ch. 22 - Prob. 3CQCh. 22 - Prob. 4CQCh. 22 - Determine whether each of the following statements...Ch. 22 - A type of mirage called a pingo is often observed...
Ch. 22 - In dispersive materials, the angle of refraction...Ch. 22 - The level of water in a clear, colorless glass can...Ch. 22 - Prob. 9CQCh. 22 - Light in medium A undergoes a total internal...Ch. 22 - Prob. 11CQCh. 22 - Try this simple experiment on your own. Take two...Ch. 22 - Prob. 13CQCh. 22 - Prob. 14CQCh. 22 - A light ray containing both blue and red...Ch. 22 - During the Apollo XI Moon landing, a...Ch. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Find the speed of light in (a) water, (b) crown...Ch. 22 - A ray of light travels from air into another...Ch. 22 - Prob. 8PCh. 22 - An underwater scuba diver sees the Sun at an...Ch. 22 - Prob. 10PCh. 22 - A laser beam is incident at an angle of 30.0 to...Ch. 22 - Light containing wavelengths of 400. nm, 500. nm,...Ch. 22 - A ray of light is incident on the surface of a...Ch. 22 - Prob. 14PCh. 22 - The light emitted by a helium-neon laser has a...Ch. 22 - Figure P22.16 shows a light ray traveling in a...Ch. 22 - Prob. 17PCh. 22 - A ray of light strikes a flat, 2.00-cm-thick block...Ch. 22 - Prob. 19PCh. 22 - Prob. 20PCh. 22 - A man shines a flashlight from a boat into the...Ch. 22 - A narrow beam of ultra-sonic waves reflects off...Ch. 22 - A person looking into an empty container is able...Ch. 22 - Prob. 24PCh. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - An opaque cylindrical tank with an open top has a...Ch. 22 - A certain kind of glass has an index of refraction...Ch. 22 - The index of refraction for red light in water is...Ch. 22 - The index of refraction for crown glass is 1.512...Ch. 22 - A light beam containing red and violet wavelengths...Ch. 22 - Prob. 32PCh. 22 - A ray of light strikes the midpoint of one face of...Ch. 22 - For light of wavelength 589 nm. calculate the...Ch. 22 - Repeat Problem 34, but this time assume the...Ch. 22 - A beam of light is incident from air on the...Ch. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - A light ray is incident normally to the long face...Ch. 22 - Prob. 40PCh. 22 - A room contains air in which the speed of sound is...Ch. 22 - Prob. 42PCh. 22 - The light beam in Figure P22.43 strikes surface 2...Ch. 22 - Prob. 44PCh. 22 - A layer of ice having parallel sides floats on...Ch. 22 - A ray of light is incident at an angle 30.0 on a...Ch. 22 - When a man stands near the edge of an empty...Ch. 22 - Prob. 48APCh. 22 - Refraction causes objects submerged in water to...Ch. 22 - A narrow beam of light is incident from air onto a...Ch. 22 - Prob. 51APCh. 22 - Endoscopes are medical instruments used to examine...Ch. 22 - A piece of wire is bent through an angle . The...Ch. 22 - Prob. 54APCh. 22 - Prob. 55APCh. 22 - Prob. 56APCh. 22 - Prob. 57APCh. 22 - Students allow a narrow beam of laser light to...Ch. 22 - Prob. 59APCh. 22 - Three sheets of plastic have unknown indices of...Ch. 22 - A person swimming underwater on a bright day and...Ch. 22 - Prob. 62AP
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- A ray of light is incident upon a surface of a block of transparent material, as shown in the figure. The material outside the block (n₁ =1) is air. The block's material has an index of refraction n₂ 1.48. The angle of incidence 8₁ = 51.0 degrees. Note that this angle is measured relative to the surface normal (the dotted line perpendicular to the surface). What is the angle of reflection (0₁')? 0₁' = degrees Part of the ray is refracted upon entering the material. What is the angle of refraction within the material (0₂)? 0₂ = degrees What would the block's index of refraction need to become in order for the angle of refraction (02) to be 2 degrees less than what it was originally? New n₂ = n₁ n₂ 0₁' reflected ray refracted ray :0₂arrow_forwardAs shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction ?2 for the light in the olive oil is 25.4°, determine the angle of incidence ?1 in air and the angle of refraction ?3 in water. The index of refraction for olive oil is 1.47. ?1 = ?3 =arrow_forwardA light ray traveling in air is incident on one face of a right angle prism with index of refraction n = 1.50 as shown in the figure below, and the ray follows the path shown in the figure. Assuming θ = 60.5° and the base of the prism is mirrored, determine the angle ϕ made by the outgoing ray with the normal to the right face of the prism.arrow_forward
- A ray of light travels through air (n = 1.00) and approaching the boundary with water (n = 1.33). The angle of incidence is 45.0°. Determine the angle of refraction.arrow_forwardAs shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction ?2 for the light in the olive oil is 33.2°, determine the angle of incidence ?1 in air and the angle of refraction ?3 in water. The index of refraction for olive oil is 1.47. ?1 = ? ° ?3 = ? °arrow_forwardThe following figure shows a ray of light entering one end of an optical fiber at an angle of incidence θi = 49.5°. The index of refraction of the fiber is 2.04. Find the angle θ the ray makes with the normal when it reaches the curved surface of the fiber.arrow_forward
- A light beam travels from air, through olive oil, and then into water. If the angle of refraction ?2 for the light in the olive oil is 30.6°, determine the angle of incidence ?1 in air and the angle of refraction ?3 in water. The index of refraction for olive oil is 1.47.arrow_forwardA ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. (a) What is the angle of refraction, ?2,that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) b.)With what angle of incidence, ?3,does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.)arrow_forwardSnell' Law describes the relationships between the paths taken by the light rays in terms of the index of refraction and the angles of incidence and refraction: n1sin01 = n2sin02. Light is incident on an equilateral glass prism at a 45 degree angle to one face. The index of refraction of the glass prism is 1.58. Using Snell's Law, 02 is equal to * 450 04 02 03 26.59 degrees O45 degrees 60 degrees 94.41 degrees O O Oarrow_forward
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