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182 Convex and Concave Lenses
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lens (p 493) convex lens (p 493) concave lens (p 493) thin lens equation (p 493) chromatic aberration
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The focal length, f; the object position, do ; and the image position, di, for a lens are related by the thin lens equation
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The magnification, m, of an image by a lens is defined in the same way as the magnification of an image by a mirror m
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A single convex lens produces a real image that is inverted when the object position is greater than the focal length The image is reduced or enlarged, depending on the object position A single convex lens produces a virtual image that is upright and larger than the object when the object is located between the lens and the focal point A single concave lens always produces a virtual image that is upright and smaller than the object All simple lenses have chromatic aberration All lenses made with spherical surfaces have spherical aberration
183 Applications of Lenses
Vocabulary
nearsightedness (p 501) farsightedness (p 501)
Key Concepts
Differences in indices of refraction between air and the cornea are primarily responsible for focusing light in the eye Optical instruments use combinations of lenses to obtain clear images of small or distant objects
physicsppcom/vocabulary_puzzlemaker
Concept Mapping
37 Complete the following concept map using the
following terms: inverted, larger, smaller, virtual
Lenses
48 Describe how the eye focuses light (183) 49 What is the condition in which the focal length of
the eye is too short to focus light on the retina (183)
50 What type of image is produced by the objective
lens in a refracting telescope (183)
concave
convex
51 The prisms in binoculars increase the distance
between the objective lenses Why is this useful (183)
real
virtual
52 What is the purpose of a camera s reflex mirror (183)
Applying Concepts
upright upright
53 Which substance, A or B, in Figure 18-24 has a
larger index of refraction Explain
unchanged size
larger
Mastering Concepts
38 How does the angle of incidence compare with the
angle of refraction when a light ray passes from air into glass at a nonzero angle (181)
39 How does the angle of incidence compare with the
angle of refraction when a light ray leaves glass and enters air at a nonzero angle (181)
40 Regarding refraction, what is the critical angle (181) 41 Although the light coming from the Sun is refracted
while passing through Earth s atmosphere, the light is not separated into its spectrum What does this indicate about the speeds of different colors of light traveling through air (181)
B Figure 18-24
54 A light ray strikes the boundary between two
transparent media What is the angle of incidence for which there is no refraction
42 Explain why the Moon looks red during a lunar
eclipse (181)
55 How does the speed of light change as the index of
refraction increases
43 How do the shapes of convex and concave lenses
differ (182)
56 How does the size of the critical angle change as the
index of refraction increases
44 Locate and describe the physical properties of the
image produced by a convex lens when an object is placed some distance beyond 2F (182)
57 Which pair of media, air and water or air and glass,
has the smaller critical angle
45 What factor, other than the curvature of the surfaces
of a lens, determines the location of the focal point of the lens (182)
58 Cracked Windshield If you crack the windshield of
your car, you will see a silvery line along the crack The glass has separated at the crack, and there is air in the crack The silvery line indicates that light is reflecting off the crack Draw a ray diagram to explain why this occurs What phenomenon does this illustrate
46 To project an image from a movie projector onto
a screen, the film is placed between F and 2F of a converging lens This arrangement produces an image that is inverted Why does the filmed scene appear to be upright when the film is viewed (182)
59 Legendary Mirage According to legend, Eric the
Red sailed from Iceland and discovered Greenland after he had seen the island in a mirage Describe how the mirage might have occurred
47 Describe why precision optical instruments use
achromatic lenses (182)
18 Refraction and Lenses For more problems, go to Additional Problems, Appendix B
60 A prism bends violet light more than it bends red
light Explain
68 Light travels from flint glass into ethanol The angle
of refraction in the ethanol is 250 What is the angle of incidence in the glass
61 Rainbows Why would you never see a rainbow
in the southern sky if you were in the northern hemisphere In which direction should you look to see rainbows if you are in the southern hemisphere
69 A beam of light strikes the flat, glass side of a waterfilled aquarium at an angle of 400 to the normal For glass, n 150 a At what angle does the beam enter the glass b At what angle does the beam enter the water
62 Suppose that Figure 18-14 is redrawn with a lens of
the same focal length but a larger diameter Explain why the location of the image does not change Would the image be affected in any way
70 Refer to Table 18-1 Use the index of refraction of
diamond to calculate the speed of light in diamond
63 A swimmer uses a magnifying glass to observe a
small object on the bottom of a swimming pool She discovers that the magnifying glass does not magnify the object very well Explain why the magnifying glass is not functioning as it would in air
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