1) Find the maximum velocity of an initially stationary proton after a 5 nm X-ray scatters it at 45 degrees. Assume you can use the Newtonian equation for kinetic energy.
2) The ground state energy of a harmonic oscillator is 5.5 eV. Find the energy separation between adjacent quantum states.
3) A hydrogen atom is in its ground state when its electron absorbs a 48 keV photon. What's the energy of the resulting free electron? (total energy must be conserved)