Maximum number of electrons that can be accommodated in the subshell with azimuthal quantum number l = 4, is

Options

A. 10
B. 8
C. 16
D. 18

Explanation

To determine the maximum number of electrons that can be accommodated in a subshell with an azimuthal quantum number \( l = 4 \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Quantum Number**: The azimuthal quantum number \( l \) determines the shape of the orbital and the number of orbitals in a subshell. The value of \( l \) can take on integer values from \( 0 \) to \( n-1 \), where \( n \) is the principal quantum number.

2. **Identify the Formula**: The maximum number of electrons that can occupy a subshell is given by the formula:
\[ \text{Maximum electrons} = 2(2l + 1) \]
Here, \( 2l + 1 \) gives the number of orbitals in the subshell.

3. **Substitute the Value of \( l \)**: For \( l = 4 \):
\[ 2l + 1 = 2(4) + 1 = 8 + 1 = 9 \]

4. **Calculate the Maximum Number of Electrons**: Now, substitute this value back into the formula:
\[ \text{Maximum electrons} = 2 \times 9 = 18 \]

5. **Conclusion**: Therefore, the maximum number of electrons that can be accommodated in the subshell with azimuthal quantum number \( l = 4 \) is **18**.

### Final Answer:
The maximum number of electrons that can be accommodated in the subshell with azimuthal quantum number \( l = 4 \) is **18**.