1063_Physics ProblemsTechnical Physics

1063_Physics ProblemsTechnical Physics - 404 P37.65...

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404 Interference of Light Waves P37.65 For bright rings the gap t between surfaces is given by 2 1 2 tm =+ F H G I K J λ . The first bright ring has m = 0 and the hundredth has m = 99. So, t = 1 2 99 5 500 10 24 9 9 .. a f ej m m µ . Call r b the ring radius. From the geometry of the figure at the right, tr r r R R r bb =− − − − F H I K 22 Since rr b << , we can expand in series: trr r r RR r R r r r R r t rR b b b =− − F H G I K J −+ F H G I K J = L N M O Q P = × L N M M O Q P P = 1 1 2 1 1 2 1 2 1 2 2 11 2249 10 1400 1120 173 2 2 2 2 12 6 . . m m cm FIG. P37.65 P37.66 EE i j R =++= + + L N M O Q P ++ + L N M O Q P 123 6 300 7 2 600 4 3 6 7 2 4 3 cos . cos . cos ± sin . sin . sin ± πππ Ei j R 213 770 . ± . ± E R + af at tan . . . F H G I K J = 1 7 99 at 4.44 rad Thus, Et P 799 444 .s i n . ω rad bg . x y E 1 E 2 E 3 E R FIG. P37.66 P37.67 (a) Bright bands are observed when
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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 .

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