quiz4-su - Physics 2D Quiz #4 Department of Physics, UCSD...

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Physics 2D Quiz #4 Department of Physics, UCSD Summer Session II - 2009 Prof. Pathria 28 August 2009 Some Useful Data Speed of light: c = 2.998 × 10 8 m/s Planck’s constant: h = 6.626 × 10 - 34 J · s Rest mass of an electron: m e = 9.109 × 10 - 31 kg = 0 . 511 MeV/c 2 1 eV = 1.602 × 10 - 19 J Schr¨odinger wave equation: - ¯ h 2 2 m d 2 ψ dx 2 + U ( x ) ψ = Potential energy of a simple harmonic oscillator: U ( x ) = 1 2 Kx 2 = 1 2 2 x 2 Some Useful Formulae sin 2 x = 1 2 (1 - cos 2 x ) cos 2 x = 1 2 (1 + cos 2 x ) R 0 e - ax 2 dx = 1 2 p π a R 0 x 2 e - ax 2 dx = 1 4 p π a 3 R 0 x 4 e - ax 2 dx = 3 8 p π a 5 Instructions Please write your answers in your blue book, and make sure your secret code number is written on all pages in indelible ink. 1
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1. An electron is contained in a one-dimensional box of width 0.1 nm. (a) Draw an energy level diagram for the electron for states up to n = 3, and show all the transitions that would eventually get the electron from the n = 3 state to the
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quiz4-su - Physics 2D Quiz #4 Department of Physics, UCSD...

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