Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 36, Problem 11CQ
To determine
To find the glasses that correct nearsightedness and the ones that correct farsightedness.
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A nearsighted person has a near point of 20.0cm and a far point of 60.0cm. When he wears his contact lenses, he can see faraway objects clearly. What is the closest distance at which he can see objects clearly when wearing his contact lenses?
give the answer in cm
A 2.0-cm object is placed 30.0 cm from a converging lens that has a focal length of 10.0 cm as
shown in the figure.
What is the height of the image?
Lens
Object
F
i10.0 cml
30.0 cm
Provide the answer:
cm
30. In Figure P35.30, a thin converging lens of focal length
QIC 14.0 cm forms an image of the square abcd, which is h,
h, = 10.0 cm high and lies between distances of p, = 20.0 cm
and p. = 30.0 cm from the lens. Let a', b', c', and d' represent
the respective corners
of the image. Let q, rep-
resent the image distance
for points a' and b', q.
represent the image dis-
tance for points e' and
d', , represent the dis-
tance from point b' to the
axis, and h represent the
height of c'. (a) Find g.
Ie h, and h'. (b) Make
a sketch of the image.
(c) The area of the object is 100 cm?. 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 k' represent the dis-
tance from the axis to the point at the edge of the image
between b' and c' at image distance q. Demonstrate that
a dF
a
Figure P35.30
|시= 10.0g
14.0
Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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_forwardIn Figure P26.38, a thin converging lens of focal length 14.0 cm forms an image of the square abcd, which is hc = 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 P26.38arrow_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
- 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_forwardTwo converging lenses having focal length of f1 = 10.0 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position x = 31.0 cm indicated. (a) How far to the left of the first lens should the object be positioned? (b) What is the overall magnification of the system? (c) Is the final image uptight or inserted? Figure P23.44arrow_forwardA man inside a spherical diving bell watches a fish through a window in the bell, as in Figure P23.26. If the diving bell has radius R = 1.75 m and the fish is a distance p = 1 00 m from the window, calculate (a) the image distance and (b) the magnification. Neglect the thickness of the window. Figure P23.26arrow_forward
- A leaf of length h is positioned 71.0 cm in front of a converging lens with a focal length of 39.0 cm. An observer views the image of the leaf from a position 1.26 in behind the lens, as shown in Figure P25.25. (a) What is the magnitude of the lateral magnification (the ratio of the image size to the object size) produced by the lens? (b) What angular magnification is achieved by viewing the image of the leaf rather than viewing the loaf directly? Figure P25.25arrow_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_forwardFigure P26.39 diagrams a cross-section of a camera. It has a single lens of focal length 65.0 mm, which is to form an image on the CCD (charge-coupled device) at the back of the camera. Suppose the position of the lens has been adjusted to focus the image of a distant object. How far and in what direction must the lens be moved to form a sharp image of an object that is 2.00 m away? Figure P26.39arrow_forward
- A converging lens made of crown glass has a focal length of 15.0 cm when used in air. If the lens is immersed in water, what is its focal length? (a) negative (b) less than 15.0 cm (c) equal to 15.0 cm (d) greater than 15.0 cm (e) none of those answersarrow_forwardTwo thin lenses of focal lengths f1 = 15.0 and f2 = 10.0 cm, respectively, are separated by 35.0 cm along a common axis. The f1 lens is located to the left of the f2 lens. An object is now placed 50.0 cm to the left of the f1 lens, and a final image due to light passing though both lenses forms. By what factor is the final image different in size from the object? (a) 0.600 (b) 1.20 (c) 2.40 (d) 3.60 (e) none of those answersarrow_forwardAn amoeba is 0.305 cm away from the 0.300 cm- focal length objective lens of a microscope. (a) Where is the image formed by the objective lens? (b) What is this image’s magnification? (C) An eyepiece with a 2.00-cm focal length is placed 20.0 cm from the objective. Where is the final image? (d) What angular magnification is produced by the eyepiece? (e) What is the overall magnification? (See Figure 2.39.)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