Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 36, Problem 79AP
(a)
To determine
The location of the image due to refraction at two spherical surfaces.
(b)
To determine
Whether the image is real or virtual.
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A paperweight is made of a solid glass hemisphere of index of refraction 1.58. The radius of the circular cross section is 3.0 cm. The hemisphere is placed on its flat surface, with the center directly over a 2.0 mm long line drawn on a sheet of paper. What length of line is seen by someone looking vertically down on the hemisphere?
Chapter 36 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
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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- Figure P38.43 shows a concave meniscus lens. If |r1| = 8.50 cm and |r2| = 6.50 cm, find the focal length and determine whether the lens is converging or diverging. The lens is made of glass with index of refraction n = 1.55. CHECK and THINK: How do your answers change if the object is placed on the right side of the lens? FIGURE P38.43arrow_forwardHow many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardFigure P26.72 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the final image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forward
- Curved glassair interfaces like those observed in an empty shot glass make it possible for total internal reflection to occur at the shot glasss internal surface. Consider a glass cylinder (n = 1.54) with an outer radius of 2.50 cm and an inner radius of 2.00 cm as shown in Figure P38.105. Find the minimum angle i such that there is total internal reflection at the inner surface of the shot glass. FIGURE P38.105 Problems 105 and 106.arrow_forwardFigure P36.95 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens, (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the filial image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forwardA floating strawberry illusion is achieved with two parabolic mirrors, each having a focal length 7.50 cm, facing each other as shown in Figure P33.58. If a strawberry is placed on the lower mirror, an image of the strawberry is formed at the small opening at the center of the top mirror, 7.50 cm above the lowest point of the bottom mirror. The position of the eye in Figure P35.58a corresponds to the view of the apparatus in Figure P35.58b. Consider the light path marked A. Notice that this light path is blocked by the upper mirror so that the strawberry itself is not directly observable. The light path marked B corresponds to the eye viewing the image of the strawberry that is formed at the opening at the top of the apparatus. (a) Show that the final image is formed at that location and describe its characteristics. (b) A very startling effect is to shine a flashlight beam on this image. Even al a glancing angle, the incoming light beam is seemingly reflected from the image! Explain. Figure P35.58arrow_forward
- 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 person looking into an empty container is able to see the far edge of the containers bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is completely filled with a fluid of index of refraction n and viewed from the same angle, the person can see the center of a coin at the middle of the containers bottom, as shown in Figure P22.23b. (a) Show that the ratio h/d is given by hd=n214n2 (b) Assuming the container has a width of 8.00 cm and is filled with water, use the expression above to find the height of the container.arrow_forwardTwo 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_forward
- cylindrical cistern, constructed below ground level, is 3 m in diameter and 2.2 m deep and is filled to the brim with a liquid whose index of refraction is 1.51. A small ob- A ject rests on the bottom of the cistern at its center. 1.2 m 3 m 2.2 m How far x from the edge of the cistern can a girl whose eyes are 1.2 m from the ground stand and still see the object? Answer in units of m.arrow_forwardYou are studying a rare species of small mushroom by growing them in a large tank filled with a 60percent glucose solution, which has an index of refraction of ns =1.44. In order to magnify the small mushroomsample, you have built a long glass rod with curved ends which you insert into the top of the tank. The glassrod has an index of refraction of ng =1.55. The lower curved end of the glass rod is 12cm above the mushroomsample, and its magnitude of curvature is |r1| = 6cm. The length of the glass rod is d = 25 cm, and the uppercurved end has a magnitude of the radius of curvature of |r2| = 10cm. The signs of both radii of curvature are leftto the student to determine from the figure below. The index of refraction of air is, as always, 1. Carry a largenumber of significant figures through the problem and simplify at the end.(a)Compute the final location of the image formed of the mushroom by the device.(b)Compute the total magnification of the glass rod.arrow_forwardThe left end of a long glass rod 8.00 cm in diameter, with an index of refraction of 1.60, is ground and polished to a convex hemispherical surface with a radius of 4.00 cm. An object in the form of an arrow 1.50 mm tall, at right angles to the axis of the rod, is located on the axis 24.0 cm to the left of the vertex of the convex surface. Find the position and height of the image of the arrow formed by paraxial rays incident on the convex surface. Is the image erect or inverted?arrow_forward
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