Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 37, Problem 67PQ
Observe your reflection in the back of a spoon. From that observation, estimate the radius of curvature of the spoon. Hint: Model the spoon as a spherical mirror.
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Chapter 37 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 37.2 - A beam in air strikes a glass ball as shown in...Ch. 37.3 - Prob. 37.2CECh. 37.4 - Prob. 37.3CECh. 37.4 - Prob. 37.4CECh. 37.6 - Prob. 37.5CECh. 37.6 - Prob. 37.6CECh. 37.6 - Prob. 37.7CECh. 37 - A camera obscura is used to form an image of a...Ch. 37 - Because you should never stare directly into the...Ch. 37 - Prob. 3PQ
Ch. 37 - Prob. 4PQCh. 37 - Prob. 5PQCh. 37 - Prob. 6PQCh. 37 - Prob. 7PQCh. 37 - Prob. 8PQCh. 37 - Prob. 9PQCh. 37 - Prob. 10PQCh. 37 - Prob. 11PQCh. 37 - Prob. 12PQCh. 37 - Prob. 13PQCh. 37 - Prob. 14PQCh. 37 - Light rays strike a plane mirror at an angle of...Ch. 37 - Prob. 16PQCh. 37 - Prob. 17PQCh. 37 - Prob. 18PQCh. 37 - Prob. 19PQCh. 37 - Prob. 20PQCh. 37 - Prob. 21PQCh. 37 - Prob. 22PQCh. 37 - Prob. 23PQCh. 37 - Prob. 24PQCh. 37 - Prob. 25PQCh. 37 - Prob. 26PQCh. 37 - Prob. 27PQCh. 37 - Prob. 28PQCh. 37 - A convex mirror with a radius of curvature of 25.0...Ch. 37 - The magnitude of the radius of curvature of a...Ch. 37 - Prob. 31PQCh. 37 - The image formed by a convex spherical mirror with...Ch. 37 - An object is placed 25.0 cm from the surface of a...Ch. 37 - Prob. 34PQCh. 37 - Prob. 35PQCh. 37 - Prob. 36PQCh. 37 - Prob. 37PQCh. 37 - Prob. 38PQCh. 37 - Prob. 39PQCh. 37 - Prob. 40PQCh. 37 - Prob. 41PQCh. 37 - Prob. 42PQCh. 37 - Prob. 43PQCh. 37 - Prob. 44PQCh. 37 - Prob. 45PQCh. 37 - Prob. 46PQCh. 37 - Prob. 47PQCh. 37 - Prob. 48PQCh. 37 - Prob. 49PQCh. 37 - Prob. 50PQCh. 37 - Prob. 51PQCh. 37 - Prob. 52PQCh. 37 - Prob. 53PQCh. 37 - Prob. 54PQCh. 37 - Prob. 55PQCh. 37 - Prob. 56PQCh. 37 - You see the image of a sign through a camera...Ch. 37 - Prob. 58PQCh. 37 - Prob. 59PQCh. 37 - Prob. 60PQCh. 37 - An object is placed midway between two concave...Ch. 37 - Prob. 62PQCh. 37 - Prob. 63PQCh. 37 - Prob. 64PQCh. 37 - Prob. 65PQCh. 37 - Prob. 66PQCh. 37 - Observe your reflection in the back of a spoon....Ch. 37 - Prob. 68PQCh. 37 - A small convex mirror and a large concave mirror...Ch. 37 - Prob. 70PQCh. 37 - Prob. 71PQCh. 37 - Prob. 72PQCh. 37 - Prob. 73PQ
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- A 1.80-m-tall person stands 9.00 m in front of a large, concave spherical mirror having a radius of curvature of 3.00 m. Determine (a) the mirrors focal length, (b) the image distance, and (c) the magnification. (d) Is the image real or virtual? (e) Is the image upright or inverted?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_forwardA convex mirror with a radius of curvature of 25.0 cm is used to form an image of an arrow that is 10.0 cm away from the mirror. If the arrow is 2.00 cm tall and inverted (pointing below the optical axis), what is the height of the arrows image?arrow_forward
- A dedicated sports car enthusiast polishes the inside and outside surfaces of a hubcap that is a thin section of a sphere. When she looks into one side of the hubcap, she sees an image of her face 30.0 cm in back of the hubcap. She then flips the hubcap over and sees another image of her face 10.0 cm in back of the hubcap. (a) How far is her face from the hubcap? (b) What is the radius of curvature of the hubcap?arrow_forwardUnder what circumstances will an image be located at the focal point of a spherical lens or mirror?arrow_forwardThe radius of curvature of the left-hand face of a flint glass biconvex lens (n = 1.60) has a magnitude of 8.00 cm, and the radius of curvature of the right-hand face has a magnitude of 11.0 cm. The incident surface of a biconvex lens is convex regardless of which side is the incident side. What is the focal length of the lens if light is incident on the lens from the left?arrow_forward
- Suppose a man stands in front of a mirror as shown in Figure 25.50. His eyes are 1.65 m above the floor, and the top of his head is 0.13 m higher. Find the height above the floor of the top and bottom of the smallest mirror in which he can see both the top of his head and his feet. How is this distance related to the man’s height? Figure 25.50 A full-length mirror is one in which you can see all of yourself. It need not be as big as you, and its size is independent of your distance from it.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_forwardConsider the lensmirror arrangement shown in Figure P35.55. There are two final image positions to the left of the lens of focal length fL. One image position is due to light traveling from the object to the left and passing through the lens. The other image position is due to light traveling to the right from the object, reflecting from the mirror of focal length fM and then passing through the lens. For a given object position p between the lens and the mirror and measured with respect to the lens, there are two separation distances d between the lens and mirror that will cause the two images described above to be at the same location. Find both positions.arrow_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 real object is located at the zero end of a meterstick. A large concave spherical mirror at the 100-cm end of the meterstick forms an image of the object at the 70.0-cm position. A small convex spherical mirror placed at the 20.0-cm position forms a final image at the 10.0-cm point. What is the radius of curvature of the convex mirror?arrow_forwardA concave makeup mirror is designed so that a person 28 cm in front of it sees an upright image magnified by a factor of two. What is the radius of curvature of the mirror? R = marrow_forward
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