332 The Nature of Light and the Laws of Geometric OpticsAdditional Problems*P35.45Scattered light leaves the center of the photograph (a) in allhorizontal directions between θ10=°and 90°from thenormal. When it immediately enters the water (b), it isgathered into a fan between 0°and 2 maxgiven bynn11222210090 133348 6sinsin.sin.sin.θθ==maxmaxThe light leaves the cylinder without deviation, so theviewer only receives light from the center of thephotograph when he has turned by an angle less than48.6°. When the paperweight is turned farther, light at theback surface undergoes total internal reflection (c). Theviewer sees things outside the globe on the far side.1 max(a)2 max(b)(c)FIG. P35.45P35.46Let nxafbe the index of refraction at distance xbelow the top of the atmosphere and nx h n==beits value at the planet surface.Then,nhxaf=+−FHGIKJ1000...(a)The total time interval required to traverse the atmosphere is
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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 .