Multiple Choice
Which set of quantum numbers is not possible for an electron in an atom?
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9. Quantum Mechanics
Quantum Numbers: Angular Momentum Quantum Number
Multiple Choice
Which of the following lists all possible values of the angular momentum quantum number l for the principal quantum number n = 4?
A
1, 2, 3, 4
B
1, 2, 3
C
0, 1, 2, 3
D
0, 1, 2, 3, 4
Verified step by step guidance1
Recall that the principal quantum number \(n\) determines the energy level and size of the orbital, and it must be a positive integer (\(n = 1, 2, 3, \ldots\)).
Understand that the angular momentum quantum number \(l\) defines the shape of the orbital and can take integer values from \(0\) up to \(n-1\) for a given principal quantum number \(n\).
For \(n = 4\), list all possible values of \(l\) by starting at \(0\) and increasing by 1 until you reach \(n-1\), which is \(4 - 1 = 3\).
Therefore, the possible values of \(l\) are \$0, 1, 2,$ and \(3\).
Compare these values to the options given and identify the correct list that includes all these values without any extras.
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