(Solution) - An electron is in the hydrogen atom with n 5 -(2025 Original AI-Free Solution)

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An electron is in the hydrogen atom with n = 5.
(a) Find the possible values of L and L, for this electron in units of h.
(b) For each value of L. find all the possible angles between L and the z axis.
(c) What are the maximum and minimum values of the magnitude of the angle between L and the z-axis?