In the third energy level , there are ….. Orbirtals

Options

A. 9
B. 8
C. 7
D. 6

Explanation

To determine the number of orbitals in the third energy level (where the principal quantum number \( n = 3 \)), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Principal Quantum Number**:
- The principal quantum number \( n \) indicates the energy level of an electron in an atom. For the third energy level, \( n = 3 \).

2. **Use the Formula for Total Number of Orbitals**:
- The total number of orbitals in a given energy level can be calculated using the formula:
\[ \text{Total number of orbitals} = n^2 \]
- For \( n = 3 \):
\[ \text{Total number of orbitals} = 3^2 = 9 \]

3. **Identify the Subshells in the Third Energy Level**:
- The third energy level can have the following subshells: \( 3s \), \( 3p \), and \( 3d \).
- Each subshell has a specific number of orbitals:
- **3s**: 1 orbital
- **3p**: 3 orbitals
- **3d**: 5 orbitals

4. **Calculate the Total Number of Orbitals from Subshells**:
- Adding the orbitals from each subshell:
\[ \text{Total orbitals} = 1 \, (\text{from } 3s) + 3 \, (\text{from } 3p) + 5 \, (\text{from } 3d) = 9 \]

5. **Conclusion**:
- Therefore, the total number of orbitals in the third energy level is **9**.

### Final Answer:
In the third energy level, there are **9 orbitals**.

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