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1084_Physics ProblemsTechnical Physics

# 1084_Physics ProblemsTechnical Physics - Chapter 38 425(d(e...

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Chapter 38 425 (d) The longest wavelength that can be reflected with extra strength by these melanin rods is the one we computed first, 500 nm blue-green. (e) If the melanin rods were farther apart (say 0 32 . m µ ) they could reflect red with constructive interference. P38.57 (a) d m sin θ λ = or d m = = × ° = λ θ µ sin sin . . 3 500 10 32 0 2 83 9 m m e j Therefore, lines per unit length = = × 1 1 2 83 10 6 d . m or lines per unit length = × = × 3 53 10 3 53 10 5 1 3 1 . . m cm . (b) sin . . θ λ = = × × = m d m m 500 10 2 83 10 0 177 9 6 m m e j a f For sin . θ 1 00 , we must have m 0 177 1 00 . . a f or m 5 66 . . Therefore, the highest order observed is m = 5 . Total number of primary maxima observed is 2 1 11 m + = . P38.58 For the air-to-water interface, tan . . θ p n n = = water air 1 33 1 00 θ p = ° 53 1 . and 1 00 1 33 2 . sin . sin a f a f θ θ p = θ 2 1 53 1 1 33 36 9 = ° F H G I K J = ° sin sin . . . . For the water-to-glass interface,
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