l. The constant probability density surface plot of two hydrogen states are presented on page 4. a) What are the quantum numbers n, I, and m of each state? (6 pts) b) A hydrogen atom is in a superposition of these two states with equal probability. Please express it using the Dirac notation with a proper normalization factor. (1 pt) c) What is the expectation value of the orbital angular momentum along the z axis, (L2), for the superposition state as described in b)? (1 pt) (1) If the two electrons in an helium atom are in the two plotted states respectively, what are the totale and the largest possible total l? (2 pts) Q1 la) Left: 13, 2, 0). Right: 1532). 1b) The most general form is: eick2 IS) = 1320) + 1532) . V2 V2 1c) (Lz) = h. 1d) Itotal,max = 5