Question

A hydrogen atom stays in the 3rd excited state (n = 4). Consider of the quantum behavior of the electron, but ignore the quantum behavior of the nucleus. (a) What are the possible values for the quantum number l and what are the corresponding orbitals? Write down the magnitude of each orbital angular momentum (in units of ħ). (b) For each value of l, what are possible values for the quantum number ml and the magnitude of the z component of each orbital angular momentum? (c) What are possible values for the quantum number s and the magnitude of the spin angular momentum? (d) What are possible values for the quantum number ms and the magnitude of the z component of the spin angular momentum. (e) What does it mean for an energy level to be degenerate? And what is the degeneracy of this excited state?

Answer 1