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20111ee2_1_2011_EE2_HW1 - p y p z and the total kinetic...

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Physics for Electrical Engineers Prof. B. Jalali EE 2 Homework #1 Due: Jan 20, 2011 You may or may not find the following information useful: h=6.626 × 10 -34 J-s Mass of the electron=9.1 × 10 -31 kg 1. Calculate the de Broglie wavelength of a particle with mass equal to 1.5 g and moving with a velocity of 10 km per hour. 2. (a) What is the de Broglie wavelength of an electron that has a kinetic energy of 10 -18 Joules? (b) What is the momentum of the electron in units of kg-m/s. 3. Consider an electron in an infinite potential box of dimensions 1nm × 2nm × 4nm. Determine the components of momentum (p
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Unformatted text preview: , p y , p z ) and the total kinetic energy of the state with quantum numbers (2, 3, 2) for (n x , n y , n z ), respectively. 4. (a) Calculate the electron density in the metallic state of silver. Density = 10.5 g/cm 3 , atomic weight = 108. Assume 1 electron per atom. (b) Calculate the Fermi energy (in units of eV). (c) Using the known energy distribution of the electrons, calculate the average energy of all the electrons in silver at T=0 o K. (d) Calculate the average speed of all the electrons at T=0 o K (hint: energy and speed of individual electrons are related)...
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