1. (a) Suppose that a state (I) is an eigenstate of operator R, with eigenvalue ri....

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1. (a) Suppose that a state (I) is an eigenstate of operator R, with eigenvalue ri. In this state, i. What is the expectation value of R? ii. What is the uncertainty of R? iii. Is ) an eigenstate of R or not? iv. What is the uncertainty of R? - (b) Suppose a Hydrogen atom is in the state |V) = {|3d) + (2+i)|2p) 4|2s) + i|1s)}. i. If I measure its energy level ("orbital"), what are the odds I find it in the 2p state? ii. If I do find it in the 2p state, what is the state vector after the measurement? A. If I then measured whether or not it was in 3d), what are the odds I would find that it was? B. If instead, I measured (after having found it in 2p) whether or not it was in the initial state |V), what are the odds that it would be? 1. (a) Suppose that a state (I) is an eigenstate of operator R, with eigenvalue ri. In this state, i. What is the expectation value of R? ii. What is the uncertainty of R? iii. Is ) an eigenstate of R or not? iv. What is the uncertainty of R? - (b) Suppose a Hydrogen atom is in the state |V) = {|3d) + (2+i)|2p) 4|2s) + i|1s)}. i. If I measure its energy level ("orbital"), what are the odds I find it in the 2p state? ii. If I do find it in the 2p state, what is the state vector after the measurement? A. If I then measured whether or not it was in 3d), what are the odds I would find that it was? B. If instead, I measured (after having found it in 2p) whether or not it was in the initial state |V), what are the odds that it would be?