486_HW10 - Physics 486 Homework Set 10 Due: Dec 4, 2007 1)...

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Physics 486 Homework Set 10 Due: Dec 4, 2007 1) Hydrogen atom eigenstate. An electron is in excited state of the hydrogen atom whose principal and orbital quantum numbers are given by n = 3, l = 2. (a) What is the energy associated with this state? What is the value of its net angular momentum? What are the possible values of the z-component of the angular momentum? (b) Explicitly write out the radial wavefunction R 32 (r) associated with this state and sketch it as a function of radius. Calculate the most likely radial position of this electron. (c) The electron makes a transition to the n = 2 state by emitting a photon. What is the energy of this photon? What its wavelength? 2) Griffiths 4.17 – “Geosolar-atom”. Consider the earth-sun system as a gravitational analog to the hydrogen atom. (a) What is the potential energy function (replacing Griffiths Eq 4.52)? Let m be the mass of the earth and M the mass of the sun. (b) What is the “Bohr radius” a
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This note was uploaded on 09/20/2010 for the course PHYS 486 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.

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486_HW10 - Physics 486 Homework Set 10 Due: Dec 4, 2007 1)...

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