`{:("List-I"," List-II"),("(P) Aufbau principle",(1)Deltax xx Deltap~~h//4pi),("(Q) de-Broglie","(2) Orientation of electron in an orbital"),("(R) Hund'srule","(3) Electronic configuration"),("(S) Heisenberg principle",(4)lamda=h//mv):}`

Options

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

Answer

To solve the matching question between List-I and List-II, we will analyze each item from List-I and find its corresponding item in List-II based on the principles of atomic structure.

### Step-by-Step Solution:

1. **Identify the first item from List-I: (P) Aufbau principle**
- The Aufbau principle states that electrons occupy the lowest energy orbitals first before filling higher energy levels. This principle is fundamental in determining the electronic configuration of an atom.
- **Match with:** (3) Electronic configuration.

2. **Identify the second item from List-I: (Q) de-Broglie**
- Louis de Broglie proposed the concept of wave-particle duality, which describes how particles, such as electrons, exhibit both wave-like and particle-like properties. His equation is given by λ = h/p, where λ is the wavelength, h is Planck's constant, and p is the momentum.
- **Match with:** (4) λ = h/mv.

3. **Identify the third item from List-I: (R) Hund's rule**
- Hund's rule states that electrons will fill degenerate orbitals (orbitals of the same energy) singly before pairing up. This rule helps to determine the orientation of electrons in orbitals.
- **Match with:** (2) Orientation of electron in an orbital.

4. **Identify the fourth item from List-I: (S) Heisenberg principle**
- The Heisenberg Uncertainty Principle states that it is impossible to simultaneously know both the exact position and exact momentum of a particle. The relationship is given by Δx * Δp ≥ h/4π.
- **Match with:** (1) Δx * Δp = h/4π.

### Final Matches:
- (P) matches with (3)
- (Q) matches with (4)
- (R) matches with (2)
- (S) matches with (1)

### Answer:
The correct matches are:
- (P) -> (3)
- (Q) -> (4)
- (R) -> (2)
- (S) -> (1)