Multiple Choice
Which of the following combinations of principal quantum number n and angular momentum quantum number l is impossible?
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9. Quantum Mechanics
Quantum Numbers: Angular Momentum Quantum Number
Multiple Choice
For the principal quantum number n = 5, how many possible values can the angular momentum quantum number l have?
A
1
B
6
C
5
D
4
Verified step by step guidance1
Recall that the principal quantum number \(n\) determines the energy level and can take positive integer values: \(n = 1, 2, 3, \ldots\).
The angular momentum quantum number \(l\) depends on \(n\) and can take integer values from \$0\( up to \)n-1$.
For \(n = 5\), the possible values of \(l\) are \$0, 1, 2, 3,\( and \)4$.
Count the number of possible \(l\) values: since \(l\) ranges from \$0\( to \)4\(, there are \)5$ possible values.
Therefore, the number of possible values for the angular momentum quantum number \(l\) when \(n = 5\) is \$5$.
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