Which of the following statements is correct:

Options

A. IP of `X_((g))gtE.A` of `X_((g))`
B. IP of `X_((g))gtIP` of `X_((g))`
C. IP of `X_((g))^(+)IP` of `X_((g))`
D. All are correct.

Answer

To solve the question, we need to analyze the given statements and determine which one is correct regarding ionization potential and electron affinity.

### Step-by-Step Solution:

1. **Understanding Ionization Potential and Electron Affinity**:
- **Ionization Potential (IP)**: This is the energy required to remove an electron from an isolated gaseous atom. It is always a positive value.
- **Electron Affinity (EA)**: This is the energy released when an extra electron is added to an isolated gaseous atom. This value is typically negative because energy is released.

2. **Analyzing Option 1**:
- The first option states that the ionization potential of X is greater than the electron affinity of X.
- Since IP and EA are equal in magnitude but opposite in sign (IP = -EA), this statement is incorrect. Therefore, option 1 is not correct.

3. **Analyzing Option 2**:
- The second option states that the ionization potential of X is greater than that of X+.
- Here, X+ represents the ion formed after removing one electron from the neutral atom X.
- When an electron is removed, the remaining atom (X+) has more protons than electrons, resulting in a stronger nuclear charge. This means that more energy is required to remove another electron from X+ than from the neutral atom X.
- Hence, the ionization potential of X+ is greater than that of X. Therefore, option 2 is also incorrect.

4. **Analyzing Option 3**:
- The third option states that the ionization potential of X is less than that of X+.
- As established, since X+ has a higher nuclear charge (more protons than electrons), it will require more energy to remove an electron compared to the neutral atom X.
- Therefore, this statement is correct.

5. **Conclusion**:
- After analyzing all the options, we find that option 3 is the correct statement.

### Final Answer:
The correct statement is **Option 3: Ionization potential of X is less than that of X+**.

---