Final answer:
When the angular momentum quantum number (l) is equal to 3, there are seven different f orbitals, corresponding to magnetic quantum numbers ranging from -3 to +3.
Step-by-step explanation:
The question pertains to the determination of orbital count for a given quantum number. Angular momentum quantum number (l) determines the type of orbitals and their shape. When l is equal to 3, the orbitals in question are f orbitals. Each f orbital corresponds to different magnetic quantum numbers (ml), which can be -3, -2, -1, 0, 1, 2, or 3. Hence, there are a total of seven different f orbitals when l = 3.