**Supplementary Problem 1**

Equation 12.1 on page 532 is an
expression for the energy, E_{n}, of an electron in level
n of the hydrogen atom. The expression is actually valid for any
one-electron one-nucleus system where the nuclear charge number
is Z. (The values are negative for reasons that are explained in
the reading). It just so happens that the average kinetic energy
of such a one-electron system is -E_{n}. For the fermium
nucleus (Z=100) with one electron in the n=1 level, calculate the
kinetic energy (in J) and then the average velocity v in m/s.
Comment on the result.