The total number of orbitals present for principle quantum number, n=4 is :

Options

A. 30
B. 12
C. 15
D. 16

Explanation

To find the total number of orbitals present for the principal quantum number \( n = 4 \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Principal Quantum Number (n)**:
The principal quantum number \( n \) indicates the main energy level or shell of an electron in an atom. For \( n = 4 \), we are looking at the fourth energy level.

2. **Use the Formula for Total Orbitals**:
The total number of orbitals in a given principal quantum number \( n \) can be calculated using the formula:
\[ \text{Total number of orbitals} = n^2 \]

3. **Calculate \( n^2 \)**:
Substitute \( n = 4 \) into the formula:
\[ n^2 = 4^2 = 16 \]

4. **Conclusion**:
Therefore, the total number of orbitals present for the principal quantum number \( n = 4 \) is 16.

### Final Answer:
The total number of orbitals present for principal quantum number \( n = 4 \) is **16**.

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