exam2_001 - Physics 3101, Introduction to Modern Physics,...

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Physics 3101, Introduction to Modern Physics , Fall 2004 EXAM #2 Monday, November 8, 2004 Instructions Read each problem carefully before starting. Choose 3 of the following 4 problems. Remember to work each problem as fully as possible. Partial credit will be given so SHOW ALL OF YOUR WORK!! Constants: c = 3 x 10 8 m/s h = 6.63 x 10 -34 J s = 4.14 x 10 -15 eV s h = h/2 π k = 0 4 1 πε = 8.99 x 10 9 N m 2 /C 2 hc = 1240 eV nm k = Boltzmann’s constant = 1.38 x 10 -23 J/K = 8.61 x 10 -5 eV/K m e = 9.11 x 10 -31 kg 1 MeV/c 2 = 1.783 x 10 -30 kg Useful relationships: ) 2 cos 1 ( 2 1 sin 2 x x = 1 1 0 1 2 )... 1 ( ! + + = = n n ax n a n n a n dx e x 1. Consider a one dimensional infinite square well in which V = 0 in the range 0<x<L. (a) Assuming that a particle of mass m obeys the Schrodinger equation, write down a general expression for the normalized wave functions of the well states. Also write down an expression for the energies of the well quantum states. (12 points)
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This note was uploaded on 12/15/2011 for the course PHY 3101 taught by Professor Staff during the Fall '08 term at University of Florida.

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exam2_001 - Physics 3101, Introduction to Modern Physics,...

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