330 The Nature of Light and the Laws of Geometric OpticsP35.37sinθcnn=21:cnn=FHGIKJ−sin121(a)Diamond:c=FHGIKJ=°−sin...11333241933 4(b)Flint glass:c=FHGIKJ−sin...116653 4(c)Ice:Since nn21>, there is no critical angle .P35.38sin...cnn===airpipe1001360735c47 3.Geometry shows that the angle of refraction at the end isφθ−−°90 090 0 47 342 7....c.Then, Snell’s law at the end,1 001 3642 7.sin.sin.gives67 2..The 2-µm diameter is unnecessary information.FIG. P35.38P35.39sincnn=2188 81 000 3 0 999 81 000 08==sin....bgFIG. P35.39*P35.40(a)A ray along the inner edge will escape if any ray escapes. Its angle ofincidence is described by sin=−RdRand by nsinsin>°190 . ThennR dR−>af1nR ndR−>nRRndRndn>−1.(b)As d→0, Rmin→0 .This is reasonable.
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .