1. (a) Suppose that a state hit) is an eigenstate of operator R, with eigenvalue rt. In this state. i. What is the expectation value of R? ii. What is the uncertainty of ii? iii. ls |(I)) an eigenstate of R2 or not? iv. What is the uncertainty of R3? (h) Suppose a Hydrogen atom is in the state ill!) = 712-3 {l3d} + (2 + i)|2p) - 4|23) + i|l.s)}. i. If I measure its energy level (\"orbital\"), what are the odds I nd it in the 2p state? ii. If I do nd it in the 2p state, what is the state vector after the measurement? A. If I then measured whether or not. it was in l3d}, what are the odds I would nd that it was? B. If instead, I measured (after having found it in 2p) whether or not it was in the initial state Pit), what are the odds that it would be