Step 1: Concept
Quantum numbers describe the properties of atomic orbitals and the electrons within them.
Step 2: Meaning
Each quantum number has a specific role: $n$ defines size/energy, $l$ defines shape, $m$ defines orientation, and $s$ defines spin.
Step 3: Analysis
The azimuthal (or angular momentum) quantum number ($l$) relates to the subshell (s, p, d, f), which dictates the geometric shape of the electron cloud.
Step 4: Conclusion
Therefore, the azimuthal quantum number is the one that determines whether an orbital is spherical, dumbbell-shaped, etc.
Final Answer: (B)