Which of the following relation is correct-

Options

A. `2I.P. - E.A. - E.N. = 0`
B. `2I.P. - E.N. +E.A = 0`
C. `2E.N. - I.P. - E.A = 0`
D. `E.N. - I.P. - E.A. = 0`

Explanation

To solve the question regarding the correct relation among ionization potential (IP), electron affinity (EA), and electronegativity (EN), we can follow these steps:

### Step 1: Understand the Definitions
- **Ionization Potential (IP)**: The energy required to remove an electron from an atom in its gaseous state.
- **Electron Affinity (EA)**: The energy change that occurs when an electron is added to a neutral atom to form a negative ion.
- **Electronegativity (EN)**: A measure of the tendency of an atom to attract a bonding pair of electrons.

### Step 2: Identify the Relationships
- Generally, as electronegativity increases, both ionization potential and electron affinity also tend to increase. This is because elements that attract electrons more strongly (higher EN) also hold onto their electrons more tightly (higher IP) and can gain electrons more readily (higher EA).

### Step 3: Use the Given Relation
The relation provided in the transcript is:
\[ EN = \frac{IP + EA}{2} \]

### Step 4: Rearranging the Equation
To check the validity of the relation, we can rearrange it:
\[ 2EN = IP + EA \]
This implies:
\[ 2EN - IP - EA = 0 \]

### Step 5: Conclusion
The correct relation among the given options is:
\[ 2EN - IP - EA = 0 \]

### Final Answer
The correct relation is:
\[ 2EN - IP - EA = 0 \]

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