Total number of orbitals associated with third shell will be.....

Options

A. 2
B. 4
C. 9
D. 3

Explanation

To determine the total number of orbitals associated with the third shell, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Shell Number (n)**:
- The question specifies the third shell, which means \( n = 3 \).

2. **Use the Formula for Number of Orbitals**:
- The formula to calculate the total number of orbitals in a shell is given by:
\[ \text{Number of orbitals} = n^2 \]

3. **Substitute the Value of n**:
- Substitute \( n = 3 \) into the formula:
\[ \text{Number of orbitals} = 3^2 \]

4. **Calculate the Result**:
- Now, calculate \( 3^2 \):
\[ 3^2 = 9 \]

5. **Conclusion**:
- Therefore, the total number of orbitals associated with the third shell is 9.

### Final Answer:
The total number of orbitals associated with the third shell is **9**.

---