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1072_Physics ProblemsTechnical Physics

1072_Physics ProblemsTechnical Physics - Chapter 38 38.10...

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Chapter 38 413 38.10 (a) Double-slit interference maxima are at angles given by d m sin θ λ = . For m = 0 , θ 0 0 = ° . For m = 1 , 2 80 1 0 501 5 . sin . m m µ θ µ b g b g = : θ 1 1 0 179 10 3 = = ° sin . . a f . Similarly, for m = 2 3 4 5 , , , and 6, θ 2 21 0 = ° . , θ 3 32 5 = ° . , θ 4 45 8 = ° . , θ 5 63 6 = ° . , and θ 6 1 1 07 = = sin . a f nonexistent. Thus, there are 5 5 1 11 + + = directions for interference maxima . (b) We check for missing orders by looking for single-slit diffraction minima, at a m sin θ λ = . For m = 1 , 0 700 1 0 501 5 . sin . m m µ θ µ b g b g = and θ 1 45 8 = ° . . Thus, there is no bright fringe at this angle. There are only nine bright fringes , at θ = ° ± ° ± ° ± ° ± ° 0 10 3 21 0 32 5 63 6 , . , . , . , . and . (c) I I a = L N M M O Q P P max sin sin sin π θ λ π θ λ b g 2 At θ = ° 0 , sin θ θ 1 and I I max . 1 00 . At θ = ° 10 3 . , π θ λ π µ µ a sin . sin . . . . = °
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