5. Consider a Hydrogen atom (Z=1) in the n=2, 1= 1 state, such that the normalized...

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5. Consider a Hydrogen atom (Z=1) in the n=2, 1= 1 state, such that the normalized radial wave 21 ? [15 points] 1 function is given by 2 = 268 2 5 26 (a) Calculate the location at which the electron radial probability density is a maximum. (b) Calculate the average radial distance at which the electron is found. Why are the answers for (a) and (b) different (provide a comment about this)? (c) What is the degeneracy of this energy level (i.e., n = 2, but I can vary)? i.e. write down the quantum numbers (n, l, m,, and m) for all possible states and count how many states there are. 5. Consider a Hydrogen atom (Z=1) in the n=2, 1= 1 state, such that the normalized radial wave 21 ? [15 points] 1 function is given by 2 = 268 2 5 26 (a) Calculate the location at which the electron radial probability density is a maximum. (b) Calculate the average radial distance at which the electron is found. Why are the answers for (a) and (b) different (provide a comment about this)? (c) What is the degeneracy of this energy level (i.e., n = 2, but I can vary)? i.e. write down the quantum numbers (n, l, m,, and m) for all possible states and count how many states there are.