Total number of orbital in the 5th energy level is

Options

A. 5
B. 10
C. 18
D. 25

Explanation

To find the total number of orbitals in the 5th energy level, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Energy Level (n):**
The energy level given in the question is 5. In quantum mechanics, the principal quantum number (n) indicates the energy level of an electron in an atom.

2. **Use the Formula for Total Number of Orbitals:**
The total number of orbitals in any energy level can be calculated using the formula:
\[ \text{Total number of orbitals} = n^2 \]
Here, \( n \) is the principal quantum number.

3. **Substitute the Value of n:**
Substitute \( n = 5 \) into the formula:
\[ \text{Total number of orbitals} = 5^2 \]

4. **Calculate the Result:**
Now, calculate \( 5^2 \):
\[ 5^2 = 25 \]

5. **Conclusion:**
Therefore, the total number of orbitals in the 5th energy level is **25**.

### Final Answer:
The total number of orbitals in the 5th energy level is **25**.

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