1139_Physics ProblemsTechnical Physics

1139_Physics ProblemsTechnical Physics - 480 Introduction...

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480 Introduction to Quantum Physics v d dk d d k dE dp d dp m c p c v m c p c pc p c p c m c v c m v m v m c c v v c v v c c c v v c v c v v c v g g g = = = = + = + + = + = + = + = + = ω ω γ γ = = 2 4 2 2 2 4 2 2 1 2 2 2 4 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 0 2 1 1 1 1 e j e j e j e j e j e j e j It is this speed at which mass, energy, and momentum are transported. Section 40.7 The Double-Slit Experiment Revisited P40.45 (a) λ = = × × = × h mv 6 626 10 1 67 10 0 400 9 92 10 34 27 7 . . . . J s kg m s m e j b g (b) For destructive interference in a multiple-slit experiment, d m sin θ λ = + F H G I K J 1 2 , with m = 0 for the first minimum. Then, θ λ = F H G I K J = ° sin . 1 2 0 028 4 d so y L = tan θ y L = = ° = tan . tan . . θ 10 0 0 028 4 4 96 m mm a fb g . (c) We cannot say the neutron passed through one slit. We can only say it passed through the slits. P40.46 Consider the first bright band away from the center: d m sin θ λ = 6 00 10 0 400 200 1 1 20 10 8 1 10 . sin tan . . × L N M O Q P F H G I K J = = × m m e j a f λ λ = h m v e so m v h e = λ and K m v m v m h m e V e e e e = = = = 1 2 2 2 2 2 2 2 2 λ V h em
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