Match the column : `{:(,"Column-I",,"Column-II",),(,("Quantum, no. of mono electron atom"),,("Quantisation of"),),((A),n,(P),"magnitude of orbital angular momentum",),((B),l,(Q),"energy & position",),((C),m,(R),"magnetic & direction of spin angular momentum",),((D),s,(S),"direction of orbital angular momentum",),(,,,,),(,,,,):}`

Answer

To solve the matching question, we need to understand the quantum numbers and their corresponding meanings. Let's break it down step by step:

### Step 1: Identify the Quantum Numbers
The quantum numbers provided in Column-I are:
- (A) n
- (B) l
- (C) m
- (D) s

### Step 2: Match Quantum Number n (A)
The principal quantum number (n) indicates the energy level and position of an electron in an atom. As n increases, the energy level of the electron also increases.

**Match:**
- (A) n → (Q) energy & position

### Step 3: Match Quantum Number l (B)
The azimuthal quantum number (l) defines the shape of the orbital and is related to the magnitude of the orbital angular momentum. It indicates the type of subshell (s, p, d, f).

**Match:**
- (B) l → (P) magnitude of orbital angular momentum

### Step 4: Match Quantum Number m (C)
The magnetic quantum number (m) determines the orientation of the orbital in space and is associated with the direction of the angular momentum.

**Match:**
- (C) m → (S) direction of orbital angular momentum

### Step 5: Match Quantum Number s (D)
The spin quantum number (s) indicates the intrinsic spin of the electron and its magnetic moment. It describes the direction of the spin angular momentum.

**Match:**
- (D) s → (R) magnetic & direction of spin angular momentum

### Final Matches:
- (A) n → (Q) energy & position
- (B) l → (P) magnitude of orbital angular momentum
- (C) m → (S) direction of orbital angular momentum
- (D) s → (R) magnetic & direction of spin angular momentum

### Summary of Matches:
1. A → Q
2. B → P
3. C → S
4. D → R

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