For azimuthal quantum number l=3, the maximum number of electrons will be

Options

A. 2
B. 6
C. 0
D. 14

Explanation

To determine the maximum number of electrons that can be accommodated in a subshell with an azimuthal quantum number \( l = 3 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Subshell**:
The azimuthal quantum number \( l \) corresponds to different subshells. For \( l = 3 \), the subshell is the f subshell.

2. **Use the Formula for Maximum Electrons**:
The maximum number of electrons that can occupy a subshell is given by the formula:
\[ \text{Maximum number of electrons} = 2(2l + 1) \]

3. **Substitute the Value of \( l \)**:
Substitute \( l = 3 \) into the formula:
\[ \text{Maximum number of electrons} = 2(2 \times 3 + 1) \]

4. **Calculate Inside the Parentheses**:
First, calculate \( 2 \times 3 + 1 \):
\[ 2 \times 3 = 6 \quad \text{and} \quad 6 + 1 = 7 \]

5. **Multiply by 2**:
Now, multiply the result by 2:
\[ 2 \times 7 = 14 \]

6. **Conclusion**:
Therefore, the maximum number of electrons that can occupy the f subshell (when \( l = 3 \)) is **14 electrons**.

### Final Answer:
The maximum number of electrons for \( l = 3 \) is **14**.