The orbital angular momentum quantum number of the state `S_(2)` is

Options

A. 0
B. 1
C. 2
D. 3

Explanation

To determine the orbital angular momentum quantum number (also known as the azimuthal quantum number) for the state \( S_2 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the State**: The notation \( S_2 \) refers to the second state of the electron configuration, which corresponds to the 3p orbitals.

2. **Understand Quantum Numbers**: Quantum numbers describe the properties of atomic orbitals. The azimuthal quantum number \( l \) is associated with the shape of the orbital and its angular momentum.

3. **Assign Values to Quantum Numbers**:
- For different types of orbitals, the azimuthal quantum number \( l \) takes specific values:
- \( l = 0 \) for s orbitals
- \( l = 1 \) for p orbitals
- \( l = 2 \) for d orbitals
- \( l = 3 \) for f orbitals

4. **Determine the Quantum Number for 3p Orbitals**: Since \( S_2 \) corresponds to the 3p orbital, we can assign the azimuthal quantum number:
- For the p orbital, \( l = 1 \).

5. **Conclusion**: Therefore, the orbital angular momentum quantum number for the state \( S_2 \) is \( l = 1 \).

### Final Answer:
The orbital angular momentum quantum number of the state \( S_2 \) is \( 1 \).

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