a) The work functions of Au and Cu are 5.3 and 4.7 eV. What is the maximum wavelength of light that will cause photo emission of electrons from Au? If this light shines on Cu, what is the kinetic energy of electrons that are emitted? Draw an energy diagram illustrating these two cases.
b) Solve Schrodinger's equation to write the wavefunction of an electron emitted from Cu in part a. Assume the electrons are far from the sample and emitted with velocities along the positive x-axis. Include the numerical values of the variables specific to this problem.
c) Apply pr to this emitted electron to calculate its momentum. Show that this momentum is consistent with the total energy of the emitted electron.
d) Sketch y(x) and p(k) for this emitted electron and use the sketch to discuss the uncertainty in x and p.
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