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1146_Physics ProblemsTechnical Physics

1146_Physics ProblemsTechnical Physics - Chapter 40(b Here...

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Chapter 40 487 (b) Here are some sample values of the integrand, along with a sketch of the curve: x x e x 3 1 3 2 1 0 000 0 00 0 100 9 51 10 0 200 3 61 10 1 00 0 582 2 00 1 25 3 00 1 42 4 00 1 19 4 90 0 883 4 965 0 860 × × e j . . . . . . . . . . . . . . . . . . FIG. P40.63(b) Approximating the integral by trapezoids gives A A B + = 1 15 4 870 0 250 1 4 π . . a f . P40.64 p mv mE = = = × × 2 2 1 67 10 0 040 0 1 60 10 27 19 . . . kg eV J eV e j b g e j λ = = × = h mv 1 43 10 0 143 10 . . m nm This is of the same order of magnitude as the spacing between atoms in a crystal so diffraction should appear. P40.65 λ C = h m c e and λ = h p : λ λ C = = h m c h p p m c e e ; E c p m c e 2 2 2 2 2 = + e j : p E c m c e = 2 2 2 b g λ λ C = = L N M O Q P = F H G I K J 1 1 1 2 2 2 2 2 2 2 2 2 m c E c m c m c E c m c E m c
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