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Chapter 23 Problems

AP PHYSICS. Chapter 23 Problems. Light: Geometric Optics. AP MIRROR PROBLEMS. page 717 #1 and #4. mirror. 1.5m IMAGE. 1.5m YOU. 3 m. #1. i. page 717 #4. mirror. 1.62m. normal. x. 43 cm. 2.10 m. #4 cont'd. =. at normal. Physics. 2. i. r. =. 1. i. at normal Geometry.

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Chapter 23 Problems

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  1. AP PHYSICS Chapter 23 Problems Light: Geometric Optics

  2. AP MIRROR PROBLEMS page 717 #1 and #4 mirror 1.5m IMAGE 1.5m YOU 3 m #1.

  3. i page 717 #4 mirror 1.62m normal x 43 cm 2.10 m

  4. #4 cont'd = at normal Physics 2. i r = 1. i at normal Geometry i r r i i r r = 3. at base Geometry mirror 1.62m Normal x 43 cm 2.10 m

  5. #4 cont'd mirror i 1. tan = 1.19/2.10 = 29.54 1.62m i 1.62 - .43 1.19 Normal i i r x 43 cm r 2.10 m i 2.10 2. = i r tan 29.54 = .43/x x = .76 m = 76 cm .43 29.54 = r r x

  6. reflected incident 530 530 1. A ray of light strikes a mirror at an angle of 530 to the normal. a) What is the angle of reflection? b) What is the angle between the incident and reflected ray? 530 1060

  7. 2. A ray of light incident upon a mirror makes an angle of 360 with the mirror. What is the angle between the the incident ray and the reflected ray? 1080 1080 540 540 360 360

  8. 28. nwater = 1.33 1.33 = 3 x 10 8 / v v = 2.26 x 10 8 m/s n = 3 x 10 8 / ( .85 v) n = 3 x 10 8 / (.85*2.26 x 108) n = 1.56 page 719 26 - 28 26. n = c/v crown glass 1.52 = 3 x 10 8 / v v = 1.97 x 10 8 m/s lucite 1.51 = 3 x 10 8 / v v = 1.99 x 10 8 m/s 27. nice = 3 x 10 8 / 2.29 x 10 8 nice = 1.31

  9. normal normal air air i n = 1.0 r n = 1.0 31. 30. glass water n = 1.33 n = 1.5 r i 1.33 sin 42.5 = 1.0 sin 1.0 sin 63 = 1.5 sin = 36.44 = 63.97 r r normal air air i n = 1.0 r n = 1.0 33. 32. water water n = 1.33 n = 1.33 r i 1.33 sin = 1.0 sin 60 1.0 sin = 1.33 sin 21 = 40.63 =28.47 i i to normal 90 - 28.47 = 61.53 to horizon page 719 30 - 33 not drawn to scale normal

  10. page 719 34 not drawn to scale 45 27.72 54.27 32.28 internal air to prism prism to air 1.0 sin 45 = 1.52 sin r' 1.52 sin 32.28 = 1.0 sin 54.27 (90-27.72) + (90- ) + 60 = 180 i' = 27.72 = 32.28 r' = 54.27 i' r

  11. page 719 35 a i 1.3 m 2.7 m 2.1 m r b 2.7m 1. Geometry 42.64 tan = 1.3/ 2.7 2.1 = 25.71 b = 90 - 25.71 i = 64.29 i L 2. Physics air to water 1.0 sin 64.29 = 1.33 sin = 42.64 r not drawn to scale L a 3. Geometry 1.3 tan 42.64 = L / 2.1 L = 1.93 m i 2.7 TOTAL LENGTH FROM EDGE 2.7 + 1.93 = 4.63m

  12. page 719 36 Given: i = Reflection 2 Reflection = Refraction 2 = i Therefore r = 2(40.54) = 81.08 air to glass * Trig sin 2 = 2 sin cos 1.0 sin 2 r 1.52 sin * r = r r 2 sin cos = 1.52 sin r 2 cos = 1.52 r cos r = .76 r = 40.54 2 = = 2(40.54) = 81.08 r i not drawn to scale i reflection r

  13. 1. air to glass 1.0 sin 43.5 = 1.52 sin 2. glass to water 1.52 sin 26.93 = 1.33 sin r r =26.93 = 31.17 r r If there was no glass air to water 1 sin 43.5 = 1.33 sin r = 31.17 r FISH TANK Page 719 37 air glass water not drawn to scale n = 1.52 n = 1.33 n=1.0 26.93 31.17 normal normal 26.93 43.5

  14. sin = n2/n1 c 40. Water n = 1.33 sin = 1.33/1.51 = 61.64 Lucite n = 1.31 sin = 1.51/1.33 n2/n1 can not be greater than 1 The light must start in the lucite! c c c 41. = 44.7 liquid to air sin 44.7 = 1/n1 n1 = 1.42 c water air tan 48.75 = x / 62 x 42. water to air sin = 1/1.33 = 48.75 x = 70.71 cm c c 62 cm 48.75 43. d = L sin 10-4 = L sin 15 L = 3.9 x 10-4 m 44. tan = 7/8 = 41.2 sin = n2/n1 sin 41.2 = 1/n1 n1 = 1.52 Liquid must have an index of refraction greater than or equal to 1.52 7 c 8 page 719 40 - 44

  15. r air to water 1 sin 76 = 1.33 sin r = 46.85 r page 719 77 76 5.5 14 x 5.5 46.850 tan 46.85 = x/5.5 x x = 5.87m

  16. sin = n2/n1 c sin 37.3 = 1/n1 n1 = 1.65 sin = 1.33/1.65 = 53.71 c c page 719 78

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