1083_Physics ProblemsTechnical Physics

1083_Physics ProblemsTechnical Physics - 424 P38.53...

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424 Diffraction Patterns and Polarization P38.53 d == × 1 400 250 10 1 6 mm m . (a) dm sin θλ = θ a = ×× × F H G I K J sin . 1 9 6 25 4 11 0 25 6 m 2.50 10 m (b) λ = × 541 10 407 10 9 7 m 1.33 m . b = × F H G I K J sin . . 1 7 6 2 4 07 10 19 0 m 2.50 10 m (c) d a sin = 2 d n b sin = 2 n ba sin sin θθ = 1 af P38.54 (a) = v f : = × × = 300 10 140 10 0214 8 91 . . . ms s m min . = 122 D : θµ min . . . = × F H G I K J = 726 m 3.60 10 m rad 4 π min .. = F H G I K J = 180 60 60 150 rad s arc seconds (b) min = d L : dL × = min 7 26 10 26 000 0 189 6 rad ly ly ej bg (c) min . = D min . = × × F H G I K J = 500 10 50 8 10 5 9 3 m 12.0 10 m rad seconds of arc a f (d) × = × = −− min 50 8 10 30 0 1 52 10 1 52 63 rad m m mm a f P38.55 With a grazing angle of 36.0°, the angle of incidence is 54.0° tan tan . . p n ° = 54 0 1 38 . In the liquid, n n = 750 545 nm 1.38 nm . *P38.56 (a) Bragg’s law applies to the space lattice of melanin rods. Consider the planes d = 025 . m µ apart. For light at near-normal incidence, strong reflection happens for the wavelength given by 2 sin = . The longest wavelength reflected strongly corresponds to
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