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1073_Physics ProblemsTechnical Physics

# 1073_Physics ProblemsTechnical Physics - 414 P38.12...

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414 Diffraction Patterns and Polarization P38.12 θ λ min . == y LD 122 y = × × = 1 22 5 00 10 0 030 0 700 10 261 7 3 .. . . . a f ej bg m µ y = radius of star-image L = length of eye = 500 nm D = pupil diameter = half angle P38.13 Undergoing diffraction from a circular opening, the beam spreads into a cone of half-angle min . . × F H G I K J 632 8 10 154 10 9 4 D m 0.005 00 m rad . The radius of the beam ten kilometers away is, from the definition of radian measure, r beam m m = min 100 10 1544 4 and its diameter is dr beam beam m 23 0 9 . . *P38.14 When you are at the maximum range, the elves’ eyes will be resolved by Rayleigh’s criterion: d L L = × × = × = min . . . 0100 660 10 115 10 01 869 9 3 4 4 m 71 0 m m 1.15 10 m *P38.15 By Rayleigh’s criterion: min . d 1 22 , where min is the smallest angular separation of two objects for which they are resolved by an aperture of diameter D , d is the separation of the two objects, and L is the maximum distance of the aperture from the two objects at which they can be resolved.
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