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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 2 50 10 1 6 mm m . (a) d m sin θ λ = θ a = × × × F H G I K J = ° sin . 1 9 6 2 541 10 25 6 m 2.50 10 m (b) λ = × = × 541 10 4 07 10 9 7 m 1.33 m . θ 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 θ λ = 2 d n b sin θ λ = 2 n b a sin sin θ θ = 1 a f P38.54 (a) λ = v f : λ = × × = 3 00 10 1 40 10 0 214 8 9 1 . . . m s s m θ λ min . = 1 22 D : θ µ min . . . = × F H G I K J = 1 22 0 214 7 26 m 3.60 10 m rad 4 θ µ π min . . = × × F H G I K J = 7 26 180 60 60 1 50 rad s arc seconds (b) θ min = d L : d L = = × = θ min . . 7 26 10 26 000 0 189 6 rad ly ly e j b g (c) θ λ min . = 1 22 D θ µ min . . . = × × F H G I K J = 1 22 500 10 50 8 10 5 9 3 m 12.0 10 m rad seconds of arc a f (d) d L = = × = × = θ min . . . . 50 8 10 30 0 1 52 10 1 52 6 3 rad m m mm e j a f P38.55 With a grazing angle of 36.0°, the angle of incidence is 54.0° tan tan . . θ p n = = °= 54 0 1 38 . In the liquid, λ λ 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 = 0 25 . m µ apart. For light at near-normal incidence, strong reflection happens for the wavelength
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