5. Assuming that m is a dimensionless number (integer), please select the correct expression for the equation with eigenvectors and eigenvalues along the @ axes. Here L. defines the projection of the angular momentum along the Oz axis). @ is the wave function and the corresponding eigenvalue of Le is a function of my, and h is the Planck constant. a. Lz(b)-m() b. Lz(d) mh(d) c. Lz() mi(d)/h d. hLz(d) mih(d) e. None of the above 6. Consider the eigenvalues and eigenvectors equation for the square of the angular momentum L .The eigenvalues of the square of the angular momentum L' are a. Integer numbers b. Integer multiple of h c. Real numbers defined by [1(1+1)] d. Real numbers defined as h[1(1+1)]!/? e. Real numbers defined by h [1(1+ 1)] 7. The energy of the hydrogen atom depends on a. Solely the principal quantum number n b. On both the principal quantum number n and magnetic quantum number. c. On all quantum numbers d. On the principal quantum number and azimuthal quantum number e. None of the above 8. A hydrogen atom has a wave function Yum. Consider the following potential states. Please determine which is the correct wave function from this set of wave functions: a. P-1,01: b. Pol-1; C. Pzza; d. 1211; e. Vziel. f. 9. The Born-Oppenheimer approximation (select the correct answer) a. Neglects the kinetic energy of the protons with respect to the kinetic energy of the electron. b. Neglects the kinetic energy of the electron with respect to the kinetic energy of the protons, owing to the smaller mass of the electrons. c. Implies that the kinetic energy of the electrons is equal to the kinetic energy f the protons. d. This never applies to hydrogen ion molecules and related molecules