Total number of orbitals in a f-sub-shell is

Explanation

To find the total number of orbitals in an f-subshell, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Azimuthal Quantum Number (l)**:
- The azimuthal quantum number (l) corresponds to the type of subshell. For an f-subshell, l = 3.

2. **Use the Formula for Calculating the Number of Orbitals**:
- The formula to calculate the number of orbitals in a subshell is given by:
\[ \text{Number of orbitals} = 2l + 1 \]

3. **Substitute the Value of l into the Formula**:
- Plugging in the value of l for the f-subshell:
\[ \text{Number of orbitals} = 2(3) + 1 \]

4. **Perform the Calculation**:
- Calculate the expression:
\[ \text{Number of orbitals} = 6 + 1 = 7 \]

5. **Conclusion**:
- Therefore, the total number of orbitals in an f-subshell is **7**.