23_InstSolManual_PDF_Part14 - 23-14 Chapter 23 23.50 Set Up...

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23.50. Set Up: The critical angle for total internal reflection is that gives in Snell’s law. In Fig- ure 23.50 the angle of incidence is related to angle by Figure 23.50 Solve: (a) Calculate that gives so gives and (b) and 23.51. Set Up: When Solve: (a) For air, For water, Air has a larger index of refraction for sound waves. (b) Total internal reflection requires that the waves be incident in the material of larger refractive index. and gives and (c) The sound wave must be traveling in air. (d) Sound waves can be totally reflected from the surface of the water. Reflect: Light travels faster in vacuum than in any material and n is always greater than 1.00. Sound travels faster in solids and liquids than in air and n for sound is less than 1.00 23.52. Set Up: Snell’s law is Solve: (a) red: violet: (b) red: violet: 23.53. Set Up: so when increases, f decreases. Solve: For For f 5 3.00 3 10 8 m / s 700 3 10 2 9 m 5 4.29 3 10 14 Hz. l 5 700 nm, f 5 3.00 3 10 8 m / s 400 3 10 2 9 m 5 7.50 3 10 14 Hz. l 5 400 nm, l f 5 c l , v 5
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Unformatted text preview: , v 5 c n 5 3.00 3 10 8 m / s 1.40 5 2.14 3 10 8 m / s. v 5 c n 5 3.00 3 10 8 m / s 1.36 5 2.21 3 10 8 m / s; n b 5 1 1.00 2 sin 57.0° sin 36.7° 5 1.40. n b 5 n a sin u a sin u b 5 1 1.00 2 sin 57.0° sin 38.1° 5 1.36. v 5 c n . b 5 glass. a 5 air, n a sin u a 5 n b sin u b . u crit 5 15.1°. sin u crit 5 1 0.261 1.00 2 sin 90° n a sin u a 5 n b sin u b u b 5 90°. u a 5 u crit , n b 5 0.261, n a 5 1.00, n 5 v air v 5 344 m / s 1320 m / s 5 0.261. n 5 v air v 5 1.00. u b 5 90°. u a 5 u crit , n 5 v air v . u 5 90° 2 u a 5 33.6°. u a 5 56.4°. sin u a 5 1.333 1.60 1 1.60 2 sin u a 5 1 1.333 2 sin 90°. n b 5 1.333. n a 5 1.60, u 5 90° 2 u a 5 51.3°. u a 5 38.7°. sin u a 5 1.00 1.60 1 1.00 2 sin 90°. 1 1.60 2 sin u a 5 n a sin u a 5 n b sin u b n b 5 1.00 n a 5 1.60, u b 5 90°. u a Air Plastic u u a u a 1 u 5 90°. u u a u b 5 90° u a 23-14 Chapter 23...
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  • Spring '07
  • Shoberg
  • Snell's Law, 5 33.6°, 5 38.7°, 5 51.3°, 5 56.4°

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