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You can locate the image created by a spherical mirror by drawing two rays from a point on the object to the mirror The intersection of the two reflected rays is the image of the object point The mirror equation gives the relationship among image position, object position, and focal length of a spherical mirror
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magnification (p 468) convex mirror (p 471)
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The magnification of a mirror image is given by equations relating either the positions or the heights of the image and the object m
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A single concave mirror produces a real image that is inverted when the object position is greater than the focal length A single concave mirror produces a virtual image that is upright when the object position is less than the focal length A single convex mirror always produces a virtual image that is upright and smaller compared to the object By forming smaller images, convex mirrors make images seem farther away and produce a wide field of view Mirrors can be used in combinations to produce images of any size, orientation, and location desired The most common use of combinations of mirrors is as telescopes
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following terms: convex, upright, inverted, real, virtual
Mirrors
Applying Concepts
44 Wet Road A dry road is more of a diffuse reflector
than a wet road Based on Figure 17-16, explain why a wet road appears blacker to a driver than a dry road does
Richard Megna/Fundamental Photographs
plane
concave Wet asphalt virtual virtual
upright
upright Dry asphalt
Mastering Concepts
31 How does specular reflection differ from diffuse
reflection (171)
Figure 17-16
45 Book Pages Why is it desirable that the pages of a
book be rough rather than smooth and glossy
32 What is meant by the phrase normal to the
surface (171)
46 Locate and describe the physical properties of the
image produced by a concave mirror when the object is located at the center of curvature
33 Where is the image produced by a plane mirror
located (171)
47 An object is located beyond the center of curvature
of a spherical concave mirror Locate and describe the physical properties of the image
34 Describe the properties of a plane mirror (171) 35 A student believes that very sensitive photographic
film can detect a virtual image The student puts photographic film at the location of a virtual image Does this attempt succeed Explain (171)
48 Telescope You have to order a large concave mirror
for a telescope that produces high-quality images Should you order a spherical mirror or a parabolic mirror Explain
36 How can you prove to someone that an image is a
real image (171)
49 Describe the properties of the image seen in the
single convex mirror in Figure 17-17
37 An object produces a virtual image in a concave
mirror Where is the object located (172)
38 What is the defect that all concave spherical mirrors
have and what causes it (172)
39 What is the equation relating the focal point, object
position, and image position (172)
40 What is the relationship between the center of
curvature and the focal length of a concave mirror
(172)
41 If you know the image position and object position
relative to a curved mirror, how can you determine the mirror s magnification (172)
42 Why are convex mirrors used as rearview mirrors
(172)
43 Why is it impossible for a convex mirror to form a
real image (172)
Figure 17-17
17 Reflection and Mirrors For more problems, go to Additional Problems, Appendix B
50 List all the possible arrangements in which you
could use a spherical mirror, either concave or convex, to form a real image
57 Two adjacent plane mirrors form a right angle, as
shown in Figure 17-19 A light ray is incident upon one of the mirrors at an angle of 30 to the normal a What is the angle at which the light ray is reflected from the other mirror b A retroreflector is a device that reflects incoming light rays back in a direction opposite to that of the incident rays Draw a diagram showing the angle of incidence on the first mirror for which the mirror system acts as a retroreflector
51 List all possible arrangements in which you could
use a spherical mirror, either concave or convex, to form an image that is smaller compared to the object
52 Rearview Mirrors The outside rearview mirrors of
cars often carry the warning Objects in the mirror are closer than they appear What kind of mirrors are these and what advantage do they have
Mastering Problems
171 Reflection from Plane Mirrors
53 A ray of light strikes a mirror at an angle of 38 to
the normal What is the angle that the reflected angle makes with the normal
54 A ray of light strikes a mirror at an angle of 53 to
the normal a What is the angle of reflection b What is the angle between the incident ray and the reflected ray
Figure 17-19
58 Draw a ray diagram of a plane mirror to show that
if you want to see yourself from your feet to the top of your head, the mirror must be at least half your height
55 A ray of light incident upon a mirror makes an
angle of 36 with the mirror What is the angle between the incident ray and the reflected ray
59 Two plane mirrors are connected at their sides so
that they form a 45 angle between them A light ray strikes one mirror at an angle of 30 to the normal and then reflects off the second mirror Calculate the angle of reflection of the light ray off the second mirror
56 Picture in a Mirror Penny wishes to take a picture
of her image in a plane mirror, as shown in Figure 17-18 If the camera is 12 m in front of the mirror, at what distance should the camera lens be focused
60 A ray of light strikes a mirror at an angle of 60
to the normal The mirror is then rotated 18 clockwise, as shown in Figure 17-20 What is the angle that the reflected ray makes with the mirror
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