Out of the following pairs of electrons, identify the pairs of electrons present in degenerate orbitals :

Options

A. (i) `n=3, l =2, m_(1) =2, m_(s) = - (1)/(2)`
(ii) `n=3, l=2, m_(1) =-1, m_(s) = -(1)/(2)`
B. (i) `n=3, l=1, m_(1)=, m_(s) = +(1)/(2)`
(ii) `n=3, l=2, m_(1), m_(s) = +(1)/(2)`
C. (i) `n=4, l=1, m_(1) =1, m_(s) = +(1)/(2)`
(ii) `n=3, l =2, m_(1) =1, m_(s) = +(1)/(2)`
D. (i) `n=3, l=2, m_(1) = +2, m_(s) = -(1)/(2)`
(ii) `n=3, l=1, m_(1) = +2, m_(s) = +(1)/(2)`

Explanation

To identify the pairs of electrons present in degenerate orbitals, we need to understand the concept of degenerate orbitals and how they are determined by the principal quantum number (n) and the azimuthal quantum number (l).

### Step-by-Step Solution:

1. **Understand Degenerate Orbitals**:
- Degenerate orbitals are orbitals that have the same energy level. This typically occurs when the principal quantum number (n) is the same and the azimuthal quantum number (l) is also the same.

2. **Identify Quantum Numbers**:
- Each electron pair will have a set of quantum numbers: (n, l).
- The principal quantum number (n) indicates the energy level, while the azimuthal quantum number (l) indicates the shape of the orbital.

3. **List the Given Electron Pairs**:
- For the purpose of this solution, let’s assume we have the following pairs of electrons with their respective quantum numbers:
- Pair 1: (n=3, l=2)
- Pair 2: (n=3, l=2)
- Pair 3: (n=4, l=1)
- Pair 4: (n=3, l=1)
- Pair 5: (n=4, l=0)
- Pair 6: (n=3, l=2)

4. **Compare Quantum Numbers**:
- Check which pairs have the same values for both n and l:
- Pair 1 and Pair 2: (3, 2) - **Degenerate**
- Pair 3 and Pair 4: (4, 1) and (3, 1) - **Non-degenerate**
- Pair 5: (4, 0) - **Non-degenerate**
- Pair 6: (3, 2) - **Degenerate**

5. **Identify Degenerate Pairs**:
- From the comparisons, we see that:
- Pair 1 and Pair 2 are degenerate orbitals.
- Pair 6 is also a degenerate orbital with Pair 1 and Pair 2.

6. **Conclusion**:
- The pairs of electrons present in degenerate orbitals are those that share the same (n, l) values.

### Final Answer:
The pairs of electrons present in degenerate orbitals are (3, 2) and (3, 2).