HW-2 - Physics 17 Fall 2009 T. Tomboulis Due 10-12-09...

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Physics 17 Due 10-12-09 Fall 2009 T. Tomboulis HOMEWORK # 2 Reading Assignment: SMM Ch. 4: section 4.2, subsection ”Rutherford’s Model of the Atom” (the rest of 4.2 is optional background material); sections 4.3 - 4.5. Problems: 1. SMM Ch. 4: Problem #15 2. SMM Ch. 4: problem #18 3. SMM Ch. 4: Problem #28 4. Rutherford scattering: A particle of mass M , charge Q is scattered o± a nucleus of charge Ze . b ρ Ze v Show that the distance of closest approach ρ is determined by the initial velocity v , and the “impact parameter” b by the relation ρ 2 - ρ 2 kZeQ Mv 2 - b 2 = 0 ( b is the distance of the nucleus from the unde²ected trajectory the particle would follow if not interacting with the nucleus). Such a relation is useful in estimating the size of the nucleus. Hint : Use conservation of energy and of angular momentum. 5. Correspondence principle (a) According to classical electromagnetic theory, a charge e moving in a circular orbit radiates at a frequency equal to the frequency of revolution around the
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This note was uploaded on 01/21/2010 for the course PHYS 17 taught by Professor Staff during the Fall '08 term at UCLA.

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HW-2 - Physics 17 Fall 2009 T. Tomboulis Due 10-12-09...

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