Multiple Choice
For the principal quantum number n = 3, how many possible combinations of the angular momentum quantum number l and the magnetic quantum number m_l are there?
80
views
9. Quantum Mechanics
Quantum Numbers: Angular Momentum Quantum Number
Multiple Choice
For a principal quantum number n = 5, which of the following lists correctly represents all possible values of the angular momentum quantum number l?
A
1, 2, 3, 4, 5
B
1, 2, 3, 4
C
0, 1, 2, 3, 4
D
0, 1, 2, 3, 4, 5
Verified step by step guidance1
Recall that the principal quantum number \(n\) determines the energy level or shell of an electron in an atom, and it must be a positive integer (\(n = 1, 2, 3, \ldots\)).
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 \(n = 5\), the possible values of \(l\) are all integers starting from \$0\( up to \)5 - 1 = 4$.
Therefore, the complete set of possible \(l\) values for \(n = 5\) is \(l = 0, 1, 2, 3, 4\).
Check the given options and identify the list that matches this set exactly, which is \$0, 1, 2, 3, 4$.
Related Videos
Related Practice
