Step 1: Understanding the Concept:
The magnetic quantum number \(m\) designates the orbital orientation. For a given azimuthal quantum number \(l\), \(m\) ranges from \(-l\) to \(+l\) including zero. For an \(f\)-orbital, \(l = 3\).
Step 2: Detailed Explanation:
If \(l = 3\), then \(m\) can have values: \(-3, -2, -1, 0, +1, +2, +3\). This gives a total of 7 orbitals.
Step 3: Final Answer:
Thus, the correct option is (B).