`{:("List-I"," List-II"),("(P) Photon","(1) Value is 4 for N shell"),("(Q) Electron ","(2) Probability density"),((R)Psi^(2),"(3) always exhibits positive value"),((S)n,"(4) momentum and wavelength both"):}`

Options

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

Answer

To solve the matching question provided, we will analyze each item in List-I and find the corresponding item in List-II step by step.

### Step-by-Step Solution:

1. **Analyzing (P) Photon:**
- A photon is a quantum of electromagnetic radiation. It exhibits both wave-like and particle-like properties, which means it has momentum and wavelength.
- **Match:** (P) Photon → (4) momentum and wavelength both.

2. **Analyzing (Q) Electron:**
- An electron also exhibits dual nature, meaning it has both momentum and wavelength, similar to a photon. This is described by the de Broglie hypothesis.
- **Match:** (Q) Electron → (4) momentum and wavelength both.

3. **Analyzing (R) Psi²:**
- Psi (Ψ) is the wave function in quantum mechanics. The square of the wave function, Psi² (Ψ²), represents the probability density of finding an electron in a particular region of space. Since probability density cannot be negative, it always exhibits positive values.
- **Match:** (R) Psi² → (2) Probability density.

4. **Analyzing (S) n:**
- The variable "n" refers to the principal quantum number, which indicates the energy level or shell of an electron. The value of "n" is always a positive integer. For the N shell, the value of n is 4.
- **Match:** (S) n → (1) Value is 4 for N shell.

### Final Matches:
- (P) Photon → (4) momentum and wavelength both
- (Q) Electron → (4) momentum and wavelength both
- (R) Psi² → (2) Probability density
- (S) n → (1) Value is 4 for N shell

### Summary of the Matches:
- (P) → (4)
- (Q) → (4)
- (R) → (2)
- (S) → (1)