Step 1: Recall the formula for the number of orbitals in a given energy level
The total number of orbitals in an energy level \( n \) is given by:
\[
\text{Total orbitals} = n^2
\]
Step 2: Apply the formula for the third energy level (n = 3)
For \( n = 3 \), the total number of orbitals is:
\[
\text{Total orbitals} = 3^2 = 9
\]
Answer: Therefore, the total number of orbitals in the third energy level is 9. So, the correct answer is option (1).