If an electron in an atom has orbital angular momentum with values limited by 3, how

Chapter 32, Problem 73

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If an electron in an atom has orbital angular momentum with values limited by 3, how many values of (a) Lorb,z and (b) morb,z can the electron have? In terms of h, m, and e, what is the greatest allowed magnitude for (c) Lorb,z and (d) morb,z? (e) What is the greatest allowed magnitude for the z component of the electrons net angular momentum (orbital plus spin)? (f) How many values (signs included) are allowed for the z component of its net angular momentum?

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