Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 34, Problem 6EAP
The mirror in FIGURE EX34.6 deflects a horizontal laser beam by
FIGURE EX34.6
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20. A person looking into an empty container is able to see the far
edge of the container's bottom as shown in Figure P34.20a.
The height of the container is h, and its width is d. When the
container is completely filled with a fluid of index of refrac-
tion n and viewed from the same angle, the person can see
the center of a coin at the middle of the container's bottom as
shown in Figure P34.20b. (a) Show that the ratio h/dis given by
n² – 1
4 – n?
d
(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. (c) For what range of values of n will the
center of the coin not be visible for any values of h and d?
Figure P34.20
An object is p = 35.2 cm in front of a concave
mirror. Its real image height is 6 times larger
than the object height.
h
What is the radius of curvature of the mir-
ror?
Answer in units of cm.
A ray of light is reflected from two plane mirror surfaces as shown in the figure. What are the correct values of a and B?
O
O
Value of a
26°
38°
26°
52°
64°
XX
90°
Value of B
64°
52°
26°
26°
26°
Chapter 34 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 34 - Prob. 1CQCh. 34 - Prob. 2CQCh. 34 - Prob. 3CQCh. 34 - Prob. 4CQCh. 34 - A fish in an aquarium with flat sides looks out at...Ch. 34 - Prob. 6CQCh. 34 - 7. The object and lens in FIGURE Q34.7 are...Ch. 34 - Prob. 8CQCh. 34 - Prob. 9CQCh. 34 - Prob. 10CQ
Ch. 34 - Prob. 11CQCh. 34 - Prob. 1EAPCh. 34 - a. How long (in ns) does it take light to travel...Ch. 34 - Prob. 3EAPCh. 34 - Prob. 4EAPCh. 34 - Prob. 5EAPCh. 34 - The mirror in FIGURE EX34.6 deflects a horizontal...Ch. 34 - Prob. 7EAPCh. 34 - Prob. 8EAPCh. 34 - Prob. 9EAPCh. 34 - Prob. 10EAPCh. 34 - Prob. 11EAPCh. 34 - Prob. 12EAPCh. 34 - Prob. 13EAPCh. 34 - Prob. 14EAPCh. 34 - Prob. 15EAPCh. 34 - Prob. 16EAPCh. 34 - Prob. 17EAPCh. 34 - Prob. 18EAPCh. 34 - Prob. 19EAPCh. 34 - Prob. 20EAPCh. 34 - An object is 20 cm in front of a converging lens...Ch. 34 - Prob. 22EAPCh. 34 - Prob. 23EAPCh. 34 - An object is 15 cm in front of a diverging lens...Ch. 34 - Prob. 25EAPCh. 34 - Prob. 26EAPCh. 34 - Find the focal length of the glass lens in FIGURE...Ch. 34 - Prob. 28EAPCh. 34 - Prob. 29EAPCh. 34 - Prob. 30EAPCh. 34 - Prob. 31EAPCh. 34 - Prob. 32EAPCh. 34 - Prob. 33EAPCh. 34 - 34. A 1.0-cm-tail object is 75 cm in front of a...Ch. 34 - Prob. 35EAPCh. 34 - Prob. 36EAPCh. 34 - Prob. 37EAPCh. 34 - Prob. 38EAPCh. 34 - Prob. 39EAPCh. 34 - Prob. 40EAPCh. 34 - Prob. 41EAPCh. 34 - Prob. 42EAPCh. 34 - Prob. 43EAPCh. 34 - Prob. 44EAPCh. 34 - Prob. 45EAPCh. 34 - Prob. 46EAPCh. 34 - Prob. 47EAPCh. 34 - Prob. 48EAPCh. 34 - Prob. 49EAPCh. 34 - 50. A horizontal meter stick is centered at the...Ch. 34 - Prob. 51EAPCh. 34 - 52. It’s nighttime, and you’ve dropped your...Ch. 34 - Prob. 53EAPCh. 34 - Prob. 54EAPCh. 34 - Prob. 55EAPCh. 34 - Prob. 56EAPCh. 34 - Prob. 57EAPCh. 34 - Prob. 58EAPCh. 34 - You’re visiting the shark tank at the aquarium...Ch. 34 - Prob. 60EAPCh. 34 - To determine the focal length of a lens, you place...Ch. 34 - Prob. 62EAPCh. 34 - Prob. 63EAPCh. 34 - Prob. 64EAPCh. 34 - Prob. 65EAPCh. 34 - Prob. 66EAPCh. 34 - Prob. 67EAPCh. 34 - Prob. 68EAPCh. 34 - Prob. 69EAPCh. 34 - An old-fashioned slide projector needs to create a...Ch. 34 - Prob. 71EAPCh. 34 - Prob. 72EAPCh. 34 - Prob. 73EAPCh. 34 - 74. An object is 60 cm from a screen. What are the...Ch. 34 - A wildlife photographer with a 200-mm-focal-length...Ch. 34 - A concave mirror has a 40 cm radius of curvature....Ch. 34 - A 2.0-cm-tall object is placed in front of a...Ch. 34 - Prob. 78EAPCh. 34 - Prob. 79EAPCh. 34 - Prob. 80EAPCh. 34 - Prob. 81EAPCh. 34 - Prob. 82EAP
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- How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_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_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_forward
- An object is placed a distance of 10.0 cm to the left of a thin converging lens of focal length f = 8.00 cm, and a concave spherical mirror with radius of curvature +18.0 cm is placed a distance of 45.0 cm to the right of the lens (Fig. P38.129). a. What is the location of the final image formed by the lensmirror combination as seen by an observer positioned to the left of the object? b. What is the magnification of the final image as seen by an observer positioned to the left of the object? c. Is the final image formed by the lensmirror combination upright or inverted? FIGURE P38.129arrow_forwardConsider a beam of light from the left entering a prism of apex angle as shown in Figure P34.34. Two angles of incidence, 1, and 3, are shown as Hell as two angles of refraction, 2 and 4. Show that = 1 + 3. Figure P34.34arrow_forwardFigure 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_forward
- Figure P38.76 shows an object placed a distance do1 from one of two converging lenses separated by s = 1.00 m. The first lens has focal length f1 = 22.0 cm, and the second lens has focal length f2 = 45.0 cm. An image is formed by light passing through both lenses at a distance di2 = 15.0 cm to the left of the second lens. a. What is the value of do1 that will result in this image position? b. Is the final image formed by the two lenses real or virtual? c. What is the magnification of the final image? d. Is the final image upright or inverted? Figure P38.76arrow_forwardDuring the investigation of a new type of optical fiber having an index of refraction n=1.3 laser beam is aimed at the flat end of a straight fiber, as shown in the figure. What is the maximum angle of incidence 01 if the beam is not to escape from the sides of the fiber if it is surrounded by air? n EF 0₁ O 56.2° 30.5° 39.8° O 36.7° 33.6° 3arrow_forwardA light ray traveling in water is incident upon a transparent medium. The angle of incidence is 45.0°, and the transmitted ray is refracted at an angle of 20.0°. What is the speed of light in the transparent medium (in m/s)? X What is the index of refraction of the transparent medium? How is it related to the speed of light in vacuum and the speed of light in the medium? m/sarrow_forward
- A light ray traveling in air and parallel to the hypotenuses of a 35°, 55°, 90° prism strikes the short leg. The short leg has a length of 2.5 cm and the light ray hits the prism 0.5cm from the right angle. If the glass prism has an index of 1.6, a. Carefully draw the path the light ray takes through the prism. b. At what angle (from the normal) does the light ray exit the prism?arrow_forwardTwo plane mirrors are at an angle of Θ1 5 50.0° with eachother as in the side view shown in Figure P22.14. If a horizontalray is incident on mirror 1, at what angle Θ2 does the outgoingreflected ray make with the surface of mirror 2?arrow_forwardProblem 18 18. The reflecting surfaces of two intersecting flat mirrors are at an angle 0 (0° < 0 < 90°) as shown in Figure P35.18. For a light ray that strikes the horizontal mir- ror, show that the emerging ray will intersect the inci- dent ray at an angle B = 180° – 20. Nov or B 90°-Y 90°-a d Mirror 1 I b Mirror 2arrow_forward
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