Page 410 - Schaum's Outline of Theory and Problems of Applied Physics

CHAP. 31] SPHERICAL MIRRORS 395

31.8. The match of Prob. 31.5 is placed 100 cm in front of the same mirror. Find the location, size, and nature of the image.

31.9. The match of Prob. 31.5 is placed3min front of the same mirror. Find the location, size, and nature of the image.
31.10. A pencil 6 in. long is placed 8 in. in front of a mirror whose focal length is −15 in. Find the location, size, and nature
of the image.

31.11. How far away from a concave mirror of a 25-cm focal length should a real object be located so that its image is
one-third its actual size?

31.12. A shaving mirror is intended to produce an erect image of a man’s face 2.5 times its actual size when the face is
30 cm in front of it. (a) Should the mirror be concave or convex? (b) What should its radius of curvature be?

Answers to Multiple-Choice Questions

31.1. (d) 31.6. (a)

31.2. (d) 31.7. (a)
31.3. (b) 31.8. (b)

31.4. (a) 31.9. (d)

31.5. (b) 31.10. (a)

Answers to Supplementary Problems

31.1. An erect image; an image smaller than the object.
31.2. When the object distance is greater than the focal length of the mirror; when the object distance is less than the focal
length.

31.3. Larger, virtual, and erect.
31.4. (a) 15 cm (b) −15 cm

31.5. The image is 75 cm behind the mirror, 15 cm long, virtual, and erect.

31.6. No image is formed.
31.7. The image is 133 cm in front of the mirror, 10 cm long, real, and inverted.

31.8. The image is 100 cm in front of the mirror, 6 cm long, real, and inverted.

31.9. The image is 60 cm in front of the mirror, 1.2 cm long, real, and inverted.

31.10. The image is 5.22 in. behind the mirror, 3.91 in. long, virtual, and erect.

31.11. 100 cm
31.12. (a) Concave (b) 200 cm