What are the possible values of `l` for an electron with `n=3` ?

Answer

To determine the possible values of the azimuthal quantum number \( l \) for an electron with a principal quantum number \( n = 3 \), we follow these steps:

### Step-by-Step Solution:

1. **Understand the Quantum Numbers**:
- The principal quantum number \( n \) indicates the energy level of the electron in an atom.
- The azimuthal quantum number \( l \) is associated with the shape of the orbital and can take on integer values.

2. **Determine the Range of \( l \)**:
- The values of \( l \) can range from \( 0 \) to \( n - 1 \).
- Therefore, for \( n = 3 \), we calculate the possible values of \( l \):
\[ l = 0, 1, 2 \]
- This means \( l \) can take on three possible values.

3. **List the Possible Values of \( l \)**:
- The possible values of \( l \) for \( n = 3 \) are:
- \( l = 0 \)
- \( l = 1 \)
- \( l = 2 \)

### Final Answer:
The possible values of \( l \) for an electron with \( n = 3 \) are \( 0, 1, \) and \( 2 \).

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