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qualf07 - Physics Qualifying Examination Problems 16...

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Unformatted text preview: Physics Qualifying Examination Problems 16 Thursday, August 30, 2007 15 pm Problems 7-12 Friday, August 31, 2007 1-5 pm 1. Solve each problem. 2. Start each problem solution on a fresh page. You may use multiple pages per problem. 3. At the top of each solution page put the problem number (112) and your Social Security number, but not your name or any other information. Problem 1 Consider an ideal gas of N electrons that move freely in 2D, and are confined to an area A . (a) Estimate the temperature T below which quantum mechanical considerations are important. (b) Calculate the Fermi energy assuming the system is at the temperature T = 0 K. Compare the Fermi energy to k B T B , where T is calculated above. (c) What is the physical interpretation of the Fermi energy for a given system? Problem 2 Give approximate numerical values for the following (be sure to give units): (a) The binding energy of a nucleon in a typical nucleus. (b) The binding energy of an electron in a hydrogen atom. (c) The lifetime of a free neutron. (d) The specific heat of Cu at room temperature (assumed greater than the Debye temp.) (e) The energy of a photon of light within the visible part of the spectrum. Problem 3 Problem 4 A positive charge is uniformly distributed throughout a very long cylindrical volume of radius R . The charge per unit volume is ....
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This note was uploaded on 03/11/2012 for the course PHY 3900 taught by Professor Staff during the Fall '1 term at FSU.

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qualf07 - Physics Qualifying Examination Problems 16...

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