`{:("List-I"," List-II"),("(P) Light has dual character","(1) de-Broglie's theory"),("(Q) Electrons have dual character","(2) Einstein theory principle"),("(R) N has electronic configuration","(3) Aufbau"),(" "1s^(2)2s^(2)2p_(x)^(1)2p_(y)^(1)2p_(z)^(1),),(" not "1s^(2)2s^(2)2p_(x)^(2)2p_(y)^(1),),("(S) 4s orbital is filled before 3d","(4) Hund's rule"):}`

Options

A. P `to` 1,Q `to` 2,R `to` 4,S `to` 3
B. P `to` 2,Q `to` 1,R `to` 4,S `to` 3
C. P `to` 2,Q `to` 4,R `to` 3,S `to` 1
D. P `to` 3,Q `to` 4,R `to` 2,S `to` 1

Answer

To solve the problem of matching the items from List-I with List-II, we will analyze each statement from List-I and find the correct corresponding statement from List-II.

### Step-by-Step Solution:

1. **Analyzing Statement P: "Light has dual character"**
- The dual nature of light, which exhibits both wave-like and particle-like properties, was explained by **Einstein** through his theory of light quanta (photons).
- **Match:** P corresponds to (2) Einstein theory principle.

2. **Analyzing Statement Q: "Electrons have dual character"**
- The dual nature of electrons was explained by **de Broglie**, who proposed that particles such as electrons have wave properties.
- **Match:** Q corresponds to (1) de-Broglie's theory.

3. **Analyzing Statement R: "N has electronic configuration 1s² 2s² 2pₓ¹ 2pᵧ¹ 2p𝓏¹"**
- The given configuration indicates that each of the three p orbitals (pₓ, pᵧ, p𝓏) has one electron before any pairing occurs. This is in accordance with **Hund's rule**, which states that electrons will fill degenerate orbitals singly before pairing up.
- **Match:** R corresponds to (4) Hund's rule.

4. **Analyzing Statement S: "4s orbital is filled before 3d"**
- According to the **Aufbau principle**, the 4s orbital is filled before the 3d orbital because of the lower energy level of 4s compared to 3d (based on the n + l rule).
- **Match:** S corresponds to (3) Aufbau.

### Final Matching:
- P → 2 (Einstein theory principle)
- Q → 1 (de-Broglie's theory)
- R → 4 (Hund's rule)
- S → 3 (Aufbau)

Thus, the correct matches are:
- P - 2
- Q - 1
- R - 4
- S - 3

### Conclusion:
The correct option that matches all the statements is **B**.