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1074_Physics ProblemsTechnical Physics

1074_Physics ProblemsTechnical Physics - Chapter 38 P38.17...

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Chapter 38 415 P38.17 By Rayleigh’s criterion, two dots separated center-to-center by 2.00 mm would overlap when θ λ min . = = d L D 1 22 . Thus, L dD = = × × × = 1 22 2 00 10 4 00 10 1 22 500 10 13 1 3 3 9 . . . . . λ m m m m e je j e j . P38.18 D = = × × = 1 22 1 22 5 00 10 1 00 10 6 10 7 5 . . . . . min λ θ e j m cm *P38.19 The concave mirror of the spy satellite is probably about 2 m in diameter, and is surely not more than 5 m in diameter. That is the size of the largest piece of glass successfully cast to a precise shape, for the mirror of the Hale telescope on Mount Palomar. If the spy satellite had a larger mirror, its manufacture could not be kept secret, and it would be visible from the ground. Outer space is probably closer than your state capitol, but the satellite is surely above 200-km altitude, for reasonably low air friction. We find the distance between barely resolvable objects at a distance of 200 km, seen in yellow light through a 5-m aperture: y L D y = = × F H G I K J =
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