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Unformatted text preview: Discussion Problems Due in section for weeks of Nov 1, and Nov 9, 2009 Problem 1 Discussion Problems # 9 7C staff April 5, 2006 Problem 1 Find the solid angle (angular area) subtended by a sphere by computing the following integral: sphere = d = 2 sin dd. Problem 2 Positronium is an exotic atom that consists of an electron and a positron orbiting one another. a) Derive the reduced mass for positronium. b) Derive the Bohr radius and allowed energies for positronium. (Hint: Be sure to use the results of part a).) c) How do the typical sizes of hydrogen and positronium compare? To answer this find the ratio, a p /a H , where a p is the Bohr radius of positronium and a H is the Bohr radius of hydrogen. Problem 3 Tipler 4-56 If electric charge did not exist and electrons were bound to protons by the gravitational force to form hydrogen, derive the corresponding expressions for a and E n and compute the energy and frequency of the H line and the limit of the Balmer series. Compare these with the corresponding quantities for realline and the limit of the Balmer series....
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This note was uploaded on 02/19/2010 for the course PHYSICS 7C taught by Professor Lin during the Fall '08 term at University of California, Berkeley.
- Fall '08