FinalExamME501F2007withPartialAnswers

FinalExamME501F2007withPartialAnswers - 1 Name_ ME 501 Exam...

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1 Name___________________________ November 15, 2007 Prof. Lucht ME 255 1. POINT DISTRIBUTION Problem #1 30 points _________________ Problem #2 30 points _________________ Problem #3 30 points _________________ Problem #4 30 points _________________ Problem #5 30 points _________________ 2. EXAM INSTRUCTIONS You must do four (4) out of the five (5) problems and indicate clearly which problem you decided not to have graded. Please write “ DO NOT GRADE” in the space next to the problem that you decide not to do. This exam is closed book and closed notes. Several equation sheets are attached. When working the problems, list all assumptions, and begin with the basic equations. If you do not have time to complete evaluation of integrals or of terms numerically, remember that the significant credit on each problem will be given for setting up the problem correctly and/or obtaining the correct analytical solution. ME 501 Exam #2
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2 ME 501 Final Exam 12/11/2007 Name___________________________ 1. (30 points) The time-independent Schrödinger wave equation for the harmonic oscillator is  2 2 2 2( ) ( ) ( ) d Vx x x dx   where 2 () 2 Vx kx and e x rr  . The internuclear spacing is r , and the equilibrium internuclear spacing is r e . The normalized eigenfunction and energy eigenvalue for the ground state (v = 0) are given by 1/4 2 2 e x p , , a xa x a      2 0 11 v, 2 22 hh
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FinalExamME501F2007withPartialAnswers - 1 Name_ ME 501 Exam...

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