ECE 134 Introductory Field Theory Fall 2007 Reading Assignment: Cheng: Sections 4.1-4.5 Schey: review material as needed Homework #3 Due: Monday 22 October 2007 1) The nucleus of 238can be modeled as a sphere of radius cm and total charge 9. Nuclear fission of is initiated by the absorption of a free neutron, causing the nucleus to become unstable and decompose into two fission products, each of which is a nucleus of of radius U137.410−×2q238U119Pd135.910−×cm with half the charge of the original nucleus. In the process a few extra neutrons are released, which in the right circumstances can generate a chain reaction that releases a large amount of energy. Assuming that the energy released by fission is purely electrostatic in origin: freeneutron238U119Pd119Pdfreeneutronsa.Find the electrostatic energy of the nucleus prior to fission. Treat the nucleus as a sphere of uniform charge density, and use the result in Example 3-22 of your book (also covered in discussion).
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