Match the elements with their corresponding `IE_1`.
`{:("Column-I","Column-II"),((P) N ,(1) +800),((Q) O,(2) +900),((R) Be,(3) +1300),((S) B ,(4) +1400):}`

Options

A. `{:(P,Q,R,S),(2,3,1,4):}`
B. `{:(P,Q,R,S),(1,2,3,4):}`
C. `{:(P,Q,R,S),(4,3,2,1):}`
D. `{:(P,Q,R,S),(1,4,2,3):}`

Answer

To solve the problem of matching the elements with their corresponding first ionization energies (IE1), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Elements and Their Electronic Configurations**:
- Nitrogen (N): 1s² 2s² 2p³
- Oxygen (O): 1s² 2s² 2p⁴
- Beryllium (Be): 1s² 2s²
- Boron (B): 1s² 2s² 2p¹

2. **Understand the Concept of Ionization Energy**:
- Ionization energy is the energy required to remove the outermost electron from an atom. Generally, as we move from left to right across a period, the ionization energy increases due to the increase in nuclear charge and decrease in atomic size.

3. **Analyze the Atomic Sizes**:
- The atomic size decreases from left to right in a period. Thus, the order of atomic size for the given elements is:
- Be > B > N > O
- Smaller atoms have higher ionization energies because the outer electrons are held more tightly by the nucleus.

4. **Consider the Stability of Electron Configurations**:
- Nitrogen has a half-filled p subshell (2p³), which provides extra stability. Therefore, it has a higher ionization energy than oxygen, despite oxygen being smaller.
- Beryllium has a fully filled 2s subshell, making it more stable than boron, which has one electron in the 2p subshell.

5. **Rank the Elements by Ionization Energy**:
- Based on the above analysis, we can rank the elements in order of increasing ionization energy:
- Boron (B) < Beryllium (Be) < Oxygen (O) < Nitrogen (N)
- This corresponds to the following ionization energies:
- B: +800 kJ/mol (1)
- Be: +900 kJ/mol (2)
- O: +1300 kJ/mol (3)
- N: +1400 kJ/mol (4)

6. **Match the Elements with Their Corresponding IE1**:
- P (N) matches with (4) +1400
- Q (O) matches with (3) +1300
- R (Be) matches with (2) +900
- S (B) matches with (1) +800

### Final Matches:
- P → 4
- Q → 3
- R → 2
- S → 1

### Answer:
The correct matches are:
- P (N) → 4
- Q (O) → 3
- R (Be) → 2
- S (B) → 1