1000_Physics ProblemsTechnical Physics

# 1000_Physics ProblemsTechnical Physics - Chapter...

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Chapter 35 341 *P35.68 (a) The apparent radius of the glowing sphere is R 3 as shown. For it sin sin sin sin θ θθ 1 1 2 2 3 2 12 1 2 3 2 31 1 = = = == R R R R n n R R R R Rn R R 1 R 2 R 3 1 2 FIG. P35.68(a) (b) If nR R > , then sin 2 cannot be equal to nR R 1 2 . The ray considered in part (a) undergoes total internal reflection. In this case a ray escaping the atmosphere as shown here is responsible for the apparent radius of the glowing sphere and RR 32 = . R 3 FIG. P35.68(b) P35.69 (a) At the boundary of the air and glass, the critical angle is given by sin c n = 1 . Consider the critical ray PBB : tan c d t = 4 or sin cos c c d t = 4 . Squaring the last equation gives: sin cos sin sin 2 2 2 2 2 1 4 c c c c d t =
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