What is the mathematical relationship between o and the electron's momentum? 1) Is u(x, t) an eigenfunction of the operator P = -i h d ? show 2n Ox your work.") Use the Bohr model to find the work function for a hydrogen atom. Give your answer in ev. Reminder: the work function is the amount of energy needed to ionize an atom, starting from the ground state (n=1). Assume that it is ionized when n = 00. ") What is the minimum frequency of light needed to ionize an electron from a hydrogen atom? Suppose a 40 nm (wavelength) photon interacts with the electron in the .ydrogen atom and ejects it. What velocity will the electron have after it is ejected? What is the wavelength of the electron after it is ejected? 2