An electron is in the 4f state of the hydrogen atom. (a) What are the values of n and I for this state? (b) Find the energy of this state. (c) Find the magnitude of the electron's total angular momentum L. (d) Find the possible values of the z-component of angular momentum L₂. (e) Using your answer from part (d), determine the minimum angle that the angular mo- mentum vector I can make with respect to the z-axis for this state.

An electron is in the 4f state of the hydrogen atom. (a) What are the values of n and I for this state? (b) Find the energy of this state. (c) Find the magnitude of the electron's total angular momentum L. (d) Find the possible values of the z-component of angular momentum L₂. (e) Using your answer from part (d), determine the minimum angle that the angular mo- mentum vector I can make with respect to the z-axis for this state.