Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 36, Problem 48P
(a)
To determine
To show: The thickness
(b)
To determine
The relation between the longitudinal and lateral magnification of the object.
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Suppose an object has thickness dp so that it extends from object distance p to p + dp. (a) Prove that the thickness dq of its image is given by (-q2/p2)dp. (b) The longitudinal magnification of the object is Mlong = dq/dp. How is the longitudinal magnification related to the lateral magnification M?
When two lenses are used in combination, the first one forms an image that then serves as the object for the second lens. The magnification of the combination is the ratio of the height of the final image to the height of the object. This is equal to the product of the separate magnification values mm of each lens. In equation form
mtotal=(m1)(m2).
A 1.20 cm tall object is 50.0 cm to the left of a lens of focal length of magnitude 40.0 cm . A second lens, this one having a focal length of magnitude 60.0 cm, is located 300 cm to the right of the first lens along the same optic axis.
A)
Find the location and height of the image (call it I2) formed by the lens with a focal length of 40.0 cm if the first lens is diverging and the second lens is a converging.
B)
I2 is now the object for the second lens. Find the location and height of the image produced by the second lens.
An object is in front of a converging lens (f= 60 cm). The absolute value of the
magnification of the lens is M = 3.0. The lens produces a real image. What are
the object and image distances?
Equations:
1
1
1
do
di
f
Magnification,
di
= 3
do
O d, = 70 cm
and d; = 210 cm
%3D
O do = 100 cm
and d; = 300 cm
%3D
O d, = 80 cm
and d; = 240 cm
%3D
O d, = 90 cm
and d; - 270 cm
%3D
O d, = 65 cm
and d; = 195 cm
%3D
%3D
+
Chapter 36 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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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- In 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_forwardA 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_forwardThe 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_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