An electron is in the n = 4, l = 3 state of the hydrogen atom. (a) What is the length of the electron's angular momentum vector? (b) How many different possible z components can the angular momentum have? List the possible z components. (c) What are the values of the angle that the angular momentum vector, L, makes with the z-axis?

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An electron is in the n = 4, l = 3 state of the hydrogen atom.
(a) What is the length of the electron's angular momentum vector?
(b) How many different possible z components can the angular momentum have? List the
possible z components.
(c) What are the values of the angle that the angular momentum vector, L, makes with
the z-axis?
(d) Would your answers to (a), (b) or (c) change if the principal quantum number were
n = 5 instead of n = 4?
Transcribed Image Text:An electron is in the n = 4, l = 3 state of the hydrogen atom. (a) What is the length of the electron's angular momentum vector? (b) How many different possible z components can the angular momentum have? List the possible z components. (c) What are the values of the angle that the angular momentum vector, L, makes with the z-axis? (d) Would your answers to (a), (b) or (c) change if the principal quantum number were n = 5 instead of n = 4?
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