According to the quantum mechanical picture of the atom, which one of the following statements is true concerning the magnitude of the angular momentum L of an electron in the n = 3 level of the hydrogen atom?
A)L is 0.318h.
B)L is 0.390h.
C)L could be 0.159h or 0.318h.
D)L could be 0.225h or 0.276h.
E)L could be 0.225h or 0.390h.

Question

Quizplus · Accepted Answer

In the quantum mechanical model, the angular momentum L is given by L = √l(l+1)ħ, where l is the azimuthal quantum number. For n=3, l can be 0, 1, or 2. The possible values of L are 0 (for l=0), √2ħ (for l=1), and √6ħ (for l=2). Converting these to decimal form, the possible values are approximately 0, 0.225ħ, and 0.390ħ.

According to the Quantum Mechanical Picture of the Atom, Which