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SERWAY ASSN 8 - ASSIGNMENT8 63(a 2 x 10 A sin A sin 5 10 x...

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SERWAY HOMEWORK SOLUTIONS ASSIGNMENT 8 6 3 (a) 10 2 sin sin 5 10 x A A x so 10 1 2 5 10 m , 10 10 2 1.26 10 m 5 10 . (b) 34 24 10 6.626 10 Js 5.26 10 kg m s 1.26 10 m h p (c) 2 31 9.11 10 kg 2 p K m m 2 24 17 31 17 19 5.26 10 kg m s 1.52 10 J 2 9.11 10 kg 1.52 10 J 95 eV 1.6 10 J eV K K 6 6     2 2 2 2 2 2 cos sin sin cos cos sin 2 2 cos sin x A kx B kx kA kx kB kx x k A kx k B kx x m mE E U A kx B kx
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The Schrödinger equation is satisfied if 2 2 2 2 m E U x or 2 2 cos sin cos sin mE k A kx B kx A kx B kx . Therefore 2 2 2 k E m . 6 9 Equation 6.7 is ܧ ԰ ଶ௠௅ మഏ ଶ௠௅ 2 2 2 8 n n h E mL , so 2 2 1 2 3 8 h E E E mL    2 2 6 2 5 1240 eV nm 3 6.14 MeV 8 938.28 10 eV 10 nm c E c 4 6 1240 eV nm 2.02 10 nm 6.14 10 eV hc E
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