A photoelectric effect experiment is performed with an unknown metal. From these observations compute both Planck's constant, and the work function of the metal. We can do a simple calculation of the lowest energy state using Heisenberg's Uncertainty principle, and treating this as a one-dimensional problem.
T is the temperature in Kelvins.
The thermal energy scale is about 15 times larger than the ground state energy, so quantum effects are not too important. The simple Bohr model of the atom neglects the special theory of relativity. In this problem you will estimate the change in the ground state energy due to relativistic effects. If you run out of room on the other pages given, use this sheet.