Assertion : Xe-atom in `XeF_(2)` assumes sp-hybrid state.
Reason : `XeF_(2)` molecule does not follow octet rule.

Options

A. If assertion is true but the reason is false
B. If assertion is false but reason is true
C. IF both assertion and reason are true and the reason is the correct explanation of assertion
D. If both assertion and reason are true but reason is not the correct explanation of assertion

Answer

To solve the question regarding the assertion and reason about the hybridization of the xenon atom in \(XeF_2\) and its adherence to the octet rule, we can break it down step by step.

### Step-by-Step Solution:

1. **Identify the Assertion and Reason**:
- Assertion: The xenon atom in \(XeF_2\) assumes an sp-hybrid state.
- Reason: The \(XeF_2\) molecule does not follow the octet rule.

2. **Determine the Valence Electrons of Xenon**:
- Xenon (Xe) is a noble gas and has 8 valence electrons.

3. **Analyze the Bonding in \(XeF_2\)**:
- In \(XeF_2\), xenon forms two bonds with fluorine atoms. Each fluorine atom contributes one electron to form a covalent bond with xenon.
- Thus, 2 electrons are used for bonding, leaving \(8 - 2 = 6\) electrons.

4. **Count Lone Pairs**:
- The remaining 6 electrons will be present as lone pairs on the xenon atom.
- Therefore, xenon has 3 lone pairs (since each lone pair consists of 2 electrons).

5. **Determine the Hybridization**:
- The total number of electron pairs around the xenon atom is the sum of bond pairs and lone pairs:
- Bond pairs = 2 (from \(Xe-F\) bonds)
- Lone pairs = 3
- Total = 2 + 3 = 5
- The hybridization corresponding to 5 electron pairs is \(sp^3d\).

6. **Evaluate the Assertion**:
- Since the assertion states that xenon assumes an sp-hybrid state, and we found it to be \(sp^3d\), the assertion is **false**.

7. **Evaluate the Reason**:
- The reason states that \(XeF_2\) does not follow the octet rule.
- In \(XeF_2\), xenon has 10 electrons in its valence shell (2 from each fluorine and 6 as lone pairs), which indeed makes it a hypervalent compound. Thus, the reason is **true**.

8. **Conclusion**:
- The assertion is false, and the reason is true. Therefore, the correct option is that the assertion is false, but the reason is true.

### Final Answer:
- Assertion: False
- Reason: True