The number of orbitals present in the shell with n=4 is

Options

A. 16
B. 8
C. 18
D. 32

Explanation

To determine the number of orbitals present in the shell with n=4, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Shell**: The principal quantum number (n) indicates the shell. For n=4, we are looking at the fourth shell.

2. **Determine Subshells**: The subshells present in the shell with n=4 are:
- 4s
- 4p
- 4d
- 4f

3. **Count the Orbitals in Each Subshell**:
- The 4s subshell has **1 orbital**.
- The 4p subshell has **3 orbitals**.
- The 4d subshell has **5 orbitals**.
- The 4f subshell has **7 orbitals**.

4. **Calculate Total Orbitals**: Now, we add the number of orbitals from each subshell:
\[ \text{Total orbitals} = \text{(orbitals in 4s)} + \text{(orbitals in 4p)} + \text{(orbitals in 4d)} + \text{(orbitals in 4f)} \]
\[ = 1 + 3 + 5 + 7 = 16 \]

5. **Conclusion**: Therefore, the total number of orbitals present in the shell with n=4 is **16**.

### Final Answer:
The number of orbitals present in the shell with n=4 is **16**.

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