Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 36, Problem 34P
To determine
To show that the magnification is given by
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A block of crown glass is immersed in water as in the figure below. A light ray is incident on the top face at an angle of θ1= 41° with the normal and exits the block at point P.
Find the angle of refraction θ2 of the light ray leaving the block at P.
80.2°
41°
43.3°
68.9°
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 θ1 = n2 sin02 . For paraxial rays, we assume θ1 and θ2 are small, so we may write n1 tan θ1 = n2 tan θ2. The magnification is defined as M =h′/h. Prove that the magnification is given by M = −n1 q/n2p.
The drawing shows a rectangular block of glass (n = 1.52) surrounded by a liquid with n = 1.59. A ray of light is incident on the glass at
point A with a 30.0° angle of incidence. At what angle does the ray leave the glass at point B?
Number i
Units
30.0
A
B
Chapter 36 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 36.1 - Prob. 36.1QQCh. 36.2 - You wish to start a fire by reflecting sunlight...Ch. 36.2 - Consider the image in the mirror in Figure 35.14....Ch. 36.3 - Prob. 36.4QQCh. 36.3 - Prob. 36.5QQCh. 36.4 - What is the focal length of a pane of window...Ch. 36.6 - Prob. 36.7QQCh. 36.7 - Prob. 36.8QQCh. 36 - Prob. 1OQCh. 36 - Prob. 2OQ
Ch. 36 - Prob. 3OQCh. 36 - Prob. 4OQCh. 36 - Prob. 5OQCh. 36 - Prob. 6OQCh. 36 - Prob. 7OQCh. 36 - Prob. 8OQCh. 36 - Prob. 9OQCh. 36 - Prob. 10OQCh. 36 - Prob. 11OQCh. 36 - Prob. 12OQCh. 36 - Prob. 13OQCh. 36 - Prob. 14OQCh. 36 - Prob. 1CQCh. 36 - Prob. 2CQCh. 36 - Prob. 3CQCh. 36 - Prob. 4CQCh. 36 - Prob. 5CQCh. 36 - Explain why a fish in a spherical goldfish bowl...Ch. 36 - Prob. 7CQCh. 36 - Prob. 8CQCh. 36 - Prob. 9CQCh. 36 - Prob. 10CQCh. 36 - Prob. 11CQCh. 36 - Prob. 12CQCh. 36 - Prob. 13CQCh. 36 - Prob. 14CQCh. 36 - Prob. 15CQCh. 36 - Prob. 16CQCh. 36 - Prob. 17CQCh. 36 - Prob. 1PCh. 36 - Prob. 2PCh. 36 - (a) Does your bathroom mirror show you older or...Ch. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Two flat mirrors have their reflecting surfaces...Ch. 36 - Prob. 7PCh. 36 - Prob. 8PCh. 36 - Prob. 9PCh. 36 - Prob. 10PCh. 36 - A convex spherical mirror has a radius of...Ch. 36 - Prob. 12PCh. 36 - An object of height 2.00 cm is placed 30.0 cm from...Ch. 36 - Prob. 14PCh. 36 - Prob. 15PCh. 36 - Prob. 16PCh. 36 - Prob. 17PCh. 36 - Prob. 18PCh. 36 - (a) A concave spherical mirror forms an inverted...Ch. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - A concave spherical mirror has a radius of...Ch. 36 - Prob. 23PCh. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28PCh. 36 - One end of a long glass rod (n = 1.50) is formed...Ch. 36 - Prob. 30PCh. 36 - Prob. 31PCh. 36 - Prob. 32PCh. 36 - Prob. 33PCh. 36 - Prob. 34PCh. 36 - Prob. 35PCh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - An objects distance from a converging lens is 5.00...Ch. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - A converging lens has a focal length of 10.0 cm....Ch. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - A simple model of the human eye ignores its lens...Ch. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71APCh. 36 - Prob. 72APCh. 36 - Prob. 73APCh. 36 - The distance between an object and its upright...Ch. 36 - Prob. 75APCh. 36 - Prob. 76APCh. 36 - Prob. 77APCh. 36 - Prob. 78APCh. 36 - Prob. 79APCh. 36 - Prob. 80APCh. 36 - Prob. 81APCh. 36 - In many applications, it is necessary to expand or...Ch. 36 - Prob. 83APCh. 36 - Prob. 84APCh. 36 - Two lenses made of kinds of glass having different...Ch. 36 - Prob. 86APCh. 36 - Prob. 87APCh. 36 - Prob. 88APCh. 36 - Prob. 89APCh. 36 - Prob. 90APCh. 36 - Prob. 91APCh. 36 - Prob. 92APCh. 36 - Prob. 93CPCh. 36 - A zoom lens system is a combination of lenses that...Ch. 36 - Prob. 95CPCh. 36 - Prob. 96CPCh. 36 - Prob. 97CP
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- How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardConsider a beam of light from the left entering a prism of apex angle as shown in Figure P34.34. Two angles of incidence, 1, and 3, are shown as Hell as two angles of refraction, 2 and 4. Show that = 1 + 3. Figure P34.34arrow_forward34. Consider a beam of light from the left entering a prism of apex angle O as shown in Figure P34.34. Two angles of incidence, 0, and 0,, are shown as well as two angles of refraction, 0, and 0,. Show that O = 0, + 0g- 2 %D 2 3°arrow_forward
- 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_forwardThe drawing shows a rectangular block of glass (n = 1.52) surrounded by a liquid with n = 1.69. A ray of light is incident on the glass at point A with a 30.0° angle of incidence. At what angle does the ray leave the glass at point B? A 30.0arrow_forwardThe drawing shows a rectangular block of glass (n = 1.52) surrounded by a liquid with n = 1.59. A ray of light is incident on the glass at point A with a 30.0° angle of incidence. At what angle does the ray leave the glass at point B?arrow_forward
- Asap plzzzzzarrow_forwardA ray of sunlight is passing from diamond into crown glass; the angle of incidence is 29.60°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond 2.444, ncrown glass = 1.531), and red (ndiamond 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass. Number i = Units -arrow_forwardAs shown in Figure P35.73, a light ray is incident normal to one face of a 30°-60°-90° block of flint glass (a prism) that is immersed in water. (a) Determine the exit angle θ3 of the ray.(b) A substance is dissolved in the water to increase the index of refraction n2. At what value of n2 does total internal reflection cease at point P?arrow_forward
- Choose the correct statement regarding light traveling in air and glass mediums. Assume that the angle of incidence is not perpendicular to the surface. Refractive index of air is nair=1.00029; refractive index of glass is nglass=1.517. For light traveling from glass to air, the ray becomes bent toward the normal. O Light travels at a slower speed in air than in glass. For light traveling from air to glass, the ray becomes bent away from the normal. O For light traveling from air to glass, the incidence angle is larger than the refraction angle. O For light traveling from glass to air, the refraction angle is smaller than the incidence angle. Submit Answer Tries 0/2 Post Discussion Send Feedbaclarrow_forwardIn the figure below light begins in material 1 with index of refraction ng = 1.21 and makes an angle with the normal (dotted) line of 01= 34° as it strikes material 2. The light then refracts into material 2 with index of refraction n2 = 1.78 and unknown angle of refraction 02. Lastly, the light enters material 3 with unknown index of refraction ng and makes an angle 03= 26° with the normal line. What is the index of refraction of the bottom material n3? NOTE: Please enter your answer with three significant figures. Do not use scientific notation. Do not enter units (your answer is unitless).arrow_forwardIn the figure, light is incident at angle 01 = 37.0° 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 = 1.40, n3 = 1.34 and n4 = 1.45, what is the value of (a) 05 and (b) 04? Air N2 n4 (a) 85: %3D Number Units (b) 84 Number Unitsarrow_forward
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