1152_Physics ProblemsTechnical Physics

1152_Physics ProblemsTechnical Physics - Chapter 41 Section...

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Chapter 41 493 Section 41.2 A Particle in a Box P41.3 E 1 19 2 00 3 20 10 == × .. eV J For the ground-state, E h mL e 1 2 2 8 = . (a) L h mE e × = 8 434 10 0434 1 10 m n m (b) EE E h h ee =−= F H G I K J F H G I K J = 21 2 2 2 2 4 88 600 . e V P41.4 For an electron wave to “fit” into an infinitely deep potential well, an integral number of half-wavelengths must equal the width of the well. n λ 2 100 10 9 m s o = × = 200 10 9 . n h p (a) Since K p m h m h m n n eee = × = 2 22 9 2 2 222 0 0377 ej e V For K 6 eV n = 4 (b) With n = 4, K = 603 e V FIG. P41.4 P41.5 (a) We can draw a diagram that parallels our treatment of standing mechanical waves. In each state, we measure the distance d from one node to another (N to N), and base our solution upon that: Since d N to N = 2 and
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