950 Chapter 34 Images TABLE 34-4 Problems 19 through 31: More Mirrors. See the s

Question

950 Chapter 34 Images TABLE 34-4 Problems 19 through 31: More Mirrors. See the setup for these proble (a) (b) (c) TINI +10 +10 +1.0 31 as the object is moved along the mirror's central axis through What index of refraction, if any, will produce a point image a range of values for p. What is the magnification of the object at the center of the sphere? when the object is 21 cm from the mirror? 33 A glass sphere has radius 19 through 31 More mirrors, Object o stands on the cen- R 5.0 cm and index of re- axis plane mirror. For this situation, each fraction 1.6. A is problem of a spherical or constructed by slicing through in Table 34-4 refers t (a) the type of (b) the sphere distance f (e) of curvature r, (d) the object along a plane that is the radius 20 cm from the center of the distance p, (e) the image distance i, the lateral nification m. (All distances are in centimeters.) It also refers sphere, leaving beight h placed to whether (g) the image is real (R) or virtual (b) inverted cm. The paperweight is di- R or noninverted (ND from 0, and (i on the same side of on a table and viewed from the mirror as object o or on the opposite side. Fill in the miss. rectly above by an observer who is distance d 8.0 cm Fig. 34.36 Problem 33. ing information. Where only a sign is missing, answer with from the tabletop (Fig. 34-36). When viewed through the paperweight, how far away does ssM 25, 31 the tabletop appear to be to the observer? sec. 34-6 spherical Refracting Surfaces 34 through 40 spherical refracting surfaces An object o .32 In Fig. 34-35, a beam of stands on the central axis of a spherical refracting surface For this situation, each problem in Table 34-5 to the indes parallel light rays from a laser is incident on a solid transpar- of refraction ni where the object is located. the index of refraction n2 on the other side of the refracting surface. (b) ent sphere of index of refrac- tion n. (a) If a point image is (c) the radius of curvature r of the sur produced at tbe back of the the object distance p, distances in oca sphere, what is the index of re- Fig. 34-35 Problem 32. face, and (d) the image distance i. (All are fraction of the sphere? (b) timeters) Fill in the missing information, including whether TABLE 34-5 Surfaces. See the setup for these problems. Problems 34 through 40: Spherical Refracting (e) (d) (a) RN Side +10 1.5 1.0 +10 1.5 1.5 6.0

Explanation / Answer

30 )

1/so + 1/si = 1/f

m = -si/so = hi/ho

si = -*so = 28 cm

image is real and on the same side as the object

m < 0 so inverted

part b )

1/si + 1/so = 1/f

si = 28 cm

so = 40 cm

f = 16.47 cm

part c )

R =2f = 32.94 cm

part d )

so = 40 cm

part e )

si = 28 cm

part f )

m = -0.70

part g )

Real (R)

part h )

inverted (I)

part i )

For a mirror, the side where a real image forms is the same as the side where the object is.

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