Which of the following lists all the allowed values of the angular momentum quantum number, l, when the principal quantum number n = 5?

• A. 0, 1, 2, 3, 4
• B. 0, 1, 2, 3, 4, 5
• C. 1, 2, 3, 4, 5
• D. 1, 2, 3, 4

Answer: (A)

Verified step by step guidance

1. Recall that the angular momentum quantum number \(l\) depends on the principal quantum number \(n\) and can take integer values starting from 0 up to \(n-1\).
2. Write the general allowed values of \(l\) as: \(l = 0, 1, 2, \ldots, (n-1)\).
3. Substitute the given principal quantum number \(n = 5\) into the expression to find the allowed \(l\) values.
4. Calculate the range of \(l\) values: \(l = 0, 1, 2, 3, 4\).
5. Conclude that the allowed values of \(l\) for \(n=5\) are exactly \$0, 1, 2, 3, 4$.