MS 115a, Problem Set #7
assigned 11/09/11
due 11/16/11
1.
Consider the Bohr model of an atom.
(a) Show that the velocity of an electron orbiting a nucleus is given by
v = Ze
2
/4
o
n
(b) Find the time period for one revolution.
1.
Using the Bohr model of hydrogen calculate the energy of the photon emitted when an
electron jumps from the n = 2 to the n = 1 state.
2.
Suppose a photon of wavelength 0.09 Å is absorbed by an electron in potassium with
principle quantum number, n, equal to 1. Some of this energy is used to remove the electron
from the atom and the remainder is stored as kinetic energy. Find the velocity of the electron.
3.
Write down the
100
(r,
,
) electron orbital for a single electron atom.
Use this to generate
electron density plots for the bonding and antibonding molecular orbitals of the H
2
+
molecule.
That is, plot the electron probability densities for these two orbitals (or states) as a
function of position for an H
2
+
molecule with a fixed interatomic distance.
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 Fall '09
 list
 Electron, Fundamental physics concepts, Fermi distribution function

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