Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 35, Problem 20P
Figure P35.20 (page 958) 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 Snell’s law, n1 sin θ1 = n2 sin θ2. 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 = −n1q/n2p.
Figure P35.20
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Chapter 35 Solutions
Physics for Scientists and Engineers
Ch. 35.1 - You are standing approximately 2 m away from a...Ch. 35.2 - You wish to start a fire by reflecting sunlight...Ch. 35.2 - Consider the image in the mirror in Figure 35.14....Ch. 35.3 - Prob. 35.4QQCh. 35.3 - Prob. 35.5QQCh. 35.4 - What is the focal length of a pane of window...Ch. 35.6 - Two campers wish to start a fire during the day....Ch. 35 - (a) Does your bathroom mirror show you older or...Ch. 35 - Two flat mirrors have their reflecting surfaces...Ch. 35 - A periscope (Fig. P35.3) is useful for viewing...
Ch. 35 - Two plane mirrors stand facing each other, 3.00 m...Ch. 35 - An object is placed 50.0 cm from a concave...Ch. 35 - An object is placed 20.0 cm from a concave...Ch. 35 - An object of height 2.00 cm is placed 30.0 cm from...Ch. 35 - Why is the following situation impossible? At a...Ch. 35 - A large hall in a museum has a niche in one wall....Ch. 35 - A concave spherical mirror has a radius of...Ch. 35 - An object 10.0 cm tall is placed at the zero mark...Ch. 35 - You are training to become an opticians assistant....Ch. 35 - A certain Christmas tree ornament is a silver...Ch. 35 - Review. A ball is dropped at t = 0 from rest 3.00...Ch. 35 - You unconsciously estimate the distance to an...Ch. 35 - A convex spherical mirror has a focal length of...Ch. 35 - One end of a long glass rod (n = 1.50) is formed...Ch. 35 - Prob. 18PCh. 35 - Prob. 19PCh. 35 - Figure P35.20 (page 958) shows a curved surface...Ch. 35 - To dress up your dorm room, you have purchased a...Ch. 35 - You are working for a solar energy company. Your...Ch. 35 - An object located 32.0 cm in front of a lens forms...Ch. 35 - An objects distance from a converging lens is 5.00...Ch. 35 - A contact lens is made of plastic with an index of...Ch. 35 - A converging lens has a focal length of 10.0 cm....Ch. 35 - A converging lens has a focal length of 10.0 cm....Ch. 35 - Suppose an object has thickness dp so that it...Ch. 35 - An object is placed 10.0 cm from a diverging lens...Ch. 35 - In Figure P35.30, a thin converging lens of focal...Ch. 35 - You are working for an electronics company that...Ch. 35 - Prob. 32PCh. 35 - Two rays traveling parallel to the principal axis...Ch. 35 - Josh cannot see objects clearly beyond 25.0 cm...Ch. 35 - Figure 35.34 diagrams a cross section of a camera....Ch. 35 - The refracting telescope at the Yerkes Observatory...Ch. 35 - The distance between the eyepiece and the...Ch. 35 - What are (a) the maximum angular magnification...Ch. 35 - A patient has a near point of 45.0 cm and far...Ch. 35 - The intensity I of the light reaching the CCD in a...Ch. 35 - A certain childs near point is 10.0 cm; her far...Ch. 35 - Astronomers often take photographs with the...Ch. 35 - A simple model of the human eye ignores its lens...Ch. 35 - A real object is located at the zero end of a...Ch. 35 - The distance between an object and its upright...Ch. 35 - Prob. 46APCh. 35 - Andy decides to use an old pair of eyeglasses to...Ch. 35 - Two converging lenses having focal lengths of f1 =...Ch. 35 - Two lenses made of kinds of glass having different...Ch. 35 - Prob. 50APCh. 35 - An object is placed 12.0 cm to the left of a...Ch. 35 - An object is placed a distance p to the left of a...Ch. 35 - In a darkened room, a burning candle is placed...Ch. 35 - In many applications, it is necessary to expand or...Ch. 35 - Why is the following situation impossible?...Ch. 35 - A zoom lens system is a combination of lenses that...Ch. 35 - Consider the lensmirror arrangement shown in...Ch. 35 - A floating strawberry illusion is achieved with...
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- 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_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_forwardThe nickels image in Figure P23.36 has twice the diameter of the nickel when the lens is 2.84 cm from the nickel. Determine the focal length of the lens. Figure P23.36arrow_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