ExamII2001 - 29:030 Physics IV Exam II April 6, 2001 Closed...

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29:030 Physics IV Exam II April 6, 2001 Closed book exam. Please show all work to get full credit. Point values for each problem are indicated. Please ask questions if you need clarification. If you don’t show your work, or make written comments, then there is no way for me to give partial credit. 1) An electron microscope is to be used to resolve structures 1 nm in size. a) What should be the de Broglie wavelength of the electrons? b) What voltage is necessary to accelerate the electrons? 2) Based the wave function: Time units are 10 -14 sec a) Determine as best you can from the plot the angular frequency ϖ and the uncertainty ∆ϖ. b) If this picture corresponds to the wave function of a passing electron Ψ (x=0,t), what is the electron velocity if the potential energy U=0? (First find an equation for the velocity in terms of ϖ and other well known constants. Only plug in numbers if you have time) 3) The wave functions and energies of the simple harmonic oscillator (solutions of
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ExamII2001 - 29:030 Physics IV Exam II April 6, 2001 Closed...

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