1. a) How many electrons can emit from a metal surface with a work function of 2.3 eV if it is irradiated by 3.0 J of radiation at 275 nm? b) What is the kinetic energy in J and velocity in m/s of the electrons? 2. Electron diffraction is used in molecular structure determination. What is the energy in eV and velocity in m/s for electrons to have a wavelength of 1.0 Å? 3. A high-tech photon source emits 250 W of photons at 230 nm. This source is mounted on a 5 kg "rocket". Assume all photons were used to propel the rocket. Calculate the speed of the rocket in m/s after 1 week, 1 month and 1 year. What wattage source would be required to take a 2-ton rocket to Mars in 1 year? (average Earth-Mars distance is 88 million meters). 4. Which of the following functions are eigenfunctions of a) p and b) p² i) ae-3x+be-3ix ii) sin (2x) iii) e-ix iv) cos(ax) v)e-ix²