Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Textbook Question
Chapter 38, Problem 44PQ
Show that the magnification of a thin lens is given by M = ‒di/do (Eq. 38.6). Hint: Follow the derivation of the lens maker’s equation (page 1233) and start with a thick lens.
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Physics for Scientists and Engineers: Foundations and Connections
Ch. 38.1 - Light travels from air into glass. Which sketch in...Ch. 38.2 - Prob. 38.2CECh. 38.3 - Prob. 38.3CECh. 38.6 - Prob. 38.4CECh. 38.7 - Prob. 38.5CECh. 38.9 - Prob. 38.6CECh. 38.9 - Prob. 38.7CECh. 38.10 - Prob. 38.8CECh. 38 - The Sun appears at an angle of 53.0 above the...Ch. 38 - Prob. 2PQ
Ch. 38 - Prob. 3PQCh. 38 - A light ray is incident on an interface between...Ch. 38 - Prob. 5PQCh. 38 - Prob. 6PQCh. 38 - Prob. 7PQCh. 38 - A ray of light enters a liquid from air. If the...Ch. 38 - Prob. 9PQCh. 38 - Figure P38.10 on the next page shows a...Ch. 38 - Prob. 11PQCh. 38 - Prob. 12PQCh. 38 - Prob. 13PQCh. 38 - Prob. 14PQCh. 38 - Prob. 15PQCh. 38 - A fish is 3.25 m below the surface of still water...Ch. 38 - N A fish is 3.25 m below the surface of still...Ch. 38 - A beam of monochromatic light within a fiber optic...Ch. 38 - Prob. 19PQCh. 38 - Prob. 20PQCh. 38 - Consider a light ray that enters a pane of glass...Ch. 38 - Prob. 22PQCh. 38 - Prob. 23PQCh. 38 - Prob. 24PQCh. 38 - Prob. 25PQCh. 38 - Prob. 26PQCh. 38 - Prob. 27PQCh. 38 - Prob. 28PQCh. 38 - The wavelength of light changes when it passes...Ch. 38 - Prob. 30PQCh. 38 - Light is incident on a prism as shown in Figure...Ch. 38 - Prob. 32PQCh. 38 - Prob. 33PQCh. 38 - Prob. 34PQCh. 38 - Prob. 35PQCh. 38 - Prob. 36PQCh. 38 - Prob. 37PQCh. 38 - A Lucite slab (n = 1.485) 5.00 cm in thickness...Ch. 38 - Prob. 39PQCh. 38 - Prob. 40PQCh. 38 - The end of a solid glass rod of refractive index...Ch. 38 - Prob. 42PQCh. 38 - Figure P38.43 shows a concave meniscus lens. If...Ch. 38 - Show that the magnification of a thin lens is...Ch. 38 - Prob. 45PQCh. 38 - Prob. 46PQCh. 38 - Prob. 47PQCh. 38 - The radius of curvature of the left-hand face of a...Ch. 38 - Prob. 49PQCh. 38 - Prob. 50PQCh. 38 - Prob. 51PQCh. 38 - Prob. 52PQCh. 38 - Prob. 53PQCh. 38 - Prob. 54PQCh. 38 - Prob. 55PQCh. 38 - Prob. 56PQCh. 38 - Prob. 57PQCh. 38 - Prob. 58PQCh. 38 - Prob. 59PQCh. 38 - Prob. 60PQCh. 38 - Prob. 61PQCh. 38 - Prob. 62PQCh. 38 - Prob. 63PQCh. 38 - Prob. 64PQCh. 38 - Prob. 65PQCh. 38 - Prob. 66PQCh. 38 - Prob. 67PQCh. 38 - Prob. 68PQCh. 38 - CASE STUDY Susan wears corrective lenses. The...Ch. 38 - A Fill in the missing entries in Table P38.70....Ch. 38 - Prob. 71PQCh. 38 - Prob. 72PQCh. 38 - Prob. 73PQCh. 38 - Prob. 74PQCh. 38 - An object 2.50 cm tall is 15.0 cm in front of a...Ch. 38 - Figure P38.76 shows an object placed a distance...Ch. 38 - Prob. 77PQCh. 38 - Prob. 78PQCh. 38 - Prob. 79PQCh. 38 - CASE STUDY A group of students is given two...Ch. 38 - A group of students is given two converging...Ch. 38 - Prob. 82PQCh. 38 - Two lenses are placed along the x axis, with a...Ch. 38 - Prob. 84PQCh. 38 - Prob. 85PQCh. 38 - Prob. 86PQCh. 38 - Prob. 87PQCh. 38 - Prob. 88PQCh. 38 - Prob. 89PQCh. 38 - Prob. 90PQCh. 38 - Prob. 91PQCh. 38 - Prob. 92PQCh. 38 - Prob. 93PQCh. 38 - Prob. 94PQCh. 38 - Prob. 95PQCh. 38 - Prob. 96PQCh. 38 - Prob. 97PQCh. 38 - A Fermats principle of least time for refraction....Ch. 38 - Prob. 99PQCh. 38 - Prob. 100PQCh. 38 - Prob. 101PQCh. 38 - Prob. 102PQCh. 38 - Prob. 103PQCh. 38 - Prob. 104PQCh. 38 - Curved glassair interfaces like those observed in...Ch. 38 - Prob. 106PQCh. 38 - Prob. 107PQCh. 38 - Prob. 108PQCh. 38 - Prob. 109PQCh. 38 - Prob. 110PQCh. 38 - Prob. 111PQCh. 38 - Prob. 112PQCh. 38 - Prob. 113PQCh. 38 - Prob. 114PQCh. 38 - The magnification of an upright image that is 34.0...Ch. 38 - Prob. 116PQCh. 38 - Prob. 117PQCh. 38 - Prob. 118PQCh. 38 - Prob. 119PQCh. 38 - Prob. 120PQCh. 38 - Prob. 121PQCh. 38 - Prob. 122PQCh. 38 - Prob. 123PQCh. 38 - Prob. 124PQCh. 38 - Prob. 125PQCh. 38 - Prob. 126PQCh. 38 - Light enters a prism of crown glass and refracts...Ch. 38 - Prob. 128PQCh. 38 - An object is placed a distance of 10.0 cm to the...
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- The left face of a biconvex lens has a radius of curvature of magnitude 12.0 cm, and the right face has a radius of curvature of magnitude 18.0 cm. The index of refraction of the glass is 1.44. (a) Calculate the focal length of the lens for light incident from the left. (b) What If? After the lens is turned around to interchange the radii of curvature of the two faces, calculate the focal length of the lens for light incident from the left.arrow_forwardTwo converging lenses having focal length of f1 = 10.0 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position x = 31.0 cm indicated. (a) How far to the left of the first lens should the object be positioned? (b) What is the overall magnification of the system? (c) Is the final image uptight or inserted? Figure P23.44arrow_forwardWhy is the following situation impossible? Consider the lensmirror combination shown in Figure P35.55. The lens has a focal length of fL = 0.200 m, and the mirror has a focal length of fM = 0.500 m. The lens and mirror are placed a distance d = 1.30 m apart, and an object is placed at p = 0.300 m from the lens. By moving a screen to various positions to the left of the lens, a student finds two different positions of the screen that produce a sharp image of the object. One of these positions corresponds to light leaving the object and traveling to the left through the lens. The other position corresponds to light traveling to the right from the object, reflecting from the mirror and then passing through the lens. Figure P35.55 Problem 55 and 57.arrow_forward
- Two converging lenses having focal lengths of f1 = 10.0 cm and f2 = 20.0 cm are placed a distance d = 50.0 cm apart as shown in Figure P35.48. The image due to light passing through both lenses is to be located between the lenses at the position x = 31.0 cm indicated. (a) At what value of p should the object be positioned to the left of the first lens? (b) What is the magnification of the final image? (c) Is the final image upright or inverted? (d) Is the final image real or virtual?arrow_forwardIn Figure P35.30, a thin converging lens of focal length 14.0 cm forms an image of the square abed, which is he = hb = 10.0 cm high and lies between distances of pd = 20.0 cm and pa = 30.0 cm from the lens. Let a, b, c. and d represent the respective corners of the image. Let qa represent the image distance for points a and b, qd represent the image distance for points c and d, hb, represent the distance from point b to the axis, and hc represent the height of c. (a) Find qa, qd, hb, and hc. (b) Make a sketch of the image. (c) The area of the object is 100 cm2. By carrying out the following steps, you will evaluate the area of the image. Let q represent the image distance of any point between a and d, for which the object distance is p. Let h represent the distance from the axis to the point at the edge of the image between b and c at image distance q. Demonstrate that h=10.0q(114.01q) where h and q are in centimeters. (d) Explain why the geometric area of the image is given by qaqdhdq (e) Carry out the integration to find the area of the image. Figure P35.30arrow_forwardTwo converging lenses having focal length of f1 = 10.0 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position x = 31.0 cm indicated. (a) How far to the left of the first lens should the object be positioned? (b) What is the overall magnification of the system? (c) Is the final image uptight or inserted? Figure P23.44arrow_forward
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- A lamp of height S cm is placed 40 cm in front of a converging lens of focal length 20 cm. There is a plane mirror 15 cm behind the lens. Where would you find the image when you look in the mirror?arrow_forwardTwo thin lenses of focal lengths f1 = 15.0 and f2 = 10.0 cm, respectively, are separated by 35.0 cm along a common axis. The f1 lens is located to the left of the f2 lens. An object is now placed 50.0 cm to the left of the f1 lens, and a final image due to light passing though both lenses forms. By what factor is the final image different in size from the object? (a) 0.600 (b) 1.20 (c) 2.40 (d) 3.60 (e) none of those answersarrow_forwardA thin plastic lens with index of refraction n = 1.67 has radii of curvature given by R1 = 12 0 cm and R2 = 40.0 cm. Determine (a) the focal length of the lens, (b) whether the lens Ls converging or diverging and the image distances for object distances of (c) infinity, (d) 8,00 cm, and (e) 50.0 cm.arrow_forward
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Convex and Concave Lenses; Author: Manocha Academy;https://www.youtube.com/watch?v=CJ6aB5ULqa0;License: Standard YouTube License, CC-BY