Question

which of the following gives the correct possible values of \\(l\\) for \\(n = 4\\)?

\\(0, 1, 2, 3\\)

\\(-4, -3, -2, -1, 0, 1, 2, 3, 4\\)

\\(0, 1, 2, 3, 4\\)

Explanation:

Identify the given values

$$ n = 4 $$

Apply the rule for the azimuthal quantum number

$$ l \in \{0, 1, 2, \dots, n-1\} $$

Calculate the possible values

$$ l \in \{0, 1, 2, 3\} $$

Answer:

• (A) 0, 1, 2, 3 (Correct answer)
• (B) \(-4, -3, -2, -1, 0, 1, 2, 3, 4\)
• (C) 0, 1, 2, 3, 4