Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Question
Chapter 37, Problem 20PQ
To determine
The ray diagram to produce an image by choosing mirror 2 as the first mirror and mirror 1 as the second mirror.
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Two identical plane mirrors A and B are aligned parallel to each other, as shown in the figure
below. The length of each mirror is L = 10/3 m. A light ray is incident at an angle of 30° at a
point just inside one end of mirror A. The number of times the ray undergoes reflections
(including the first time) before it emerges out is:
L
Mirror-B
0.3 m
Mirror-A
30°
100
45
50
90
25
I'm not understanding how you are getting the v in this problem. I understand you multiply the inverse of 1/v, but can't understand what v is and how you determine that number?
Figure P23.28 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 n1 sin θ1 = n2 sin02 . 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 = −n1 q/n2p.
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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Similar questions
- A small convex mirror and a large concave mirror are separated by 1.00 m, and an object is placed 1.40 m to the left of the concave mirror (Fig. P37.69). The concave mirror forms an image of this object at distance di = 25.0 cm. This image is then reflected in the convex mirror, which forms an image a distance of 8.00 cm behind the convex mirror. What is the focal length of the small convex mirror? FIGURE P37.69arrow_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_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
- An object is 5.7 cm from a concave mirror. The image is 4.7 cm tall, and 10 cm from the mirror. How tall is the object? O 11 cm O 2.7 cm O 8.2 cm O 12 cmarrow_forwardStarting with a real object, answer the following statements (True or False) about the image formed by a single optical element. A diverging lens always produces a virtual, upright and reduced image. v A converging lens can produce a virtual, upright and reduced image. An object placed between a convex mirror and its focal point will produce an image which is smaller than the object, virtual and inverted. V An object placed between a concave mirror and its focal point will produce an image which is bigger than the object, virtual and upright.arrow_forwardA 30 cm tall object produces an image that is upright, and 1.5 times magnified, when placed in front of a concave (diverging) mirror. What is the focal length of the mirror? O 50 cm O 20 cm O 70 cm O 90 cmarrow_forward
- A block of crown glass is immersed in water as in the figure below. A light ray is incident on the top face at an angle of θ1= 41° with the normal and exits the block at point P. Find the angle of refraction θ2 of the light ray leaving the block at P. 80.2° 41° 43.3° 68.9°arrow_forwardA plane mirror and a concave mirror (f = 7.80 cm) are facing each other and are separated by a distance of 23.5 cm. An object is placed between the mirrors and is 11.8 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. What is the distance of the image (di) produced by the concave mirror?arrow_forwardIn E111, the object is placed in front of a concave mirror, at an object distance 3x the magnitude of the focal length. Which of the following is incorrect? Consider the magnitudes only. O The image distance is 1.5 times the focal length. O The image height is 0.25 times the object height. O The image distance is 0.5 times the object distance. O The image is inverted.arrow_forward
- A laser beam is reflected by a plane mirror. It is observed that the angle between the incident and reflected beams is 25°. If the mirror is now rotated so that the angle of incidence increases by 6.0°, what is the new angle between the incident and reflected beams? Group of answer choices 29° 13° 21° 37°arrow_forwardAnswer no. 2arrow_forwardA plane mirror and a concave mirror (f = 6.70 cm) are facing each other and are separated by a distance of 20.0 cm. An object is placed between the mirrors and is 10.0 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number i C Object F Unitsarrow_forward
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