32_Chapter 22 HomeworkCH22 Reflection and Refraction of Light

32_Chapter 22 HomeworkCH22 Reflection and Refraction of Light

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264 CHAPTER 22 22.60 Snell’s law would predict that sin sin air i water r nn θ = , or since 1.00 air n = , sin sin iw a t e r n r = Comparing this equation to the equation of a straight line, ym xb = + , shows that if Snell’s law is valid, a graph of sin i versus sin r should yield a straight line that would pass through the origin if extended and would have a slope equal to . water n ( ) deg ( ) deg r sin i sin r i 10.0 7.50 0.174 0.131 20.0 15.1 0.342 0.261 30.0 22.3 0.500 0.379 40.0 28.7 0.643 0.480 50.0 35.2 0.766 0.576 60.0 40.3 0.866 0.647 70.0 45.3 0.940 0.711 80.0 47.7 0.985 0.740 ±²±± ±²±± ±²³± ±²´± ±²µ± ±²¶± ±²³± ±²´± ±²µ± ±²¶± ·²±± S±²³ ± ± S±²³ ± ² The straightness of the graph line and the fact that its extension passes through the origin demonstrates the validity of Snell’s law. Using the end points of the graph line to
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