In quantum mechanics, the azimuthal quantum number \( l \) defines the shape of the orbital and is associated with the angular momentum of an electron in an atom. For a given principal quantum number \( n \), the azimuthal quantum number \( l \) can take integer values from 0 up to \( n-1 \). That is: \[ l = 0, 1, 2, ..., (n - 1) \] So if \( n = 3 \), then \( l \) can be 0, 1, or 2.
The correct answer is option (A): \(0\) to \((n-1)\)