Assertion : `XeF_(2)` has linear geometry.
Reason : `XeF_(2)` involves `sp^(3)d` hybridisation of Xe atom.

Options

A. Assertion and reason both are correct statements and reason is correct explanation for assertion.
B. Assertion and reason both are correct statements but reason is not correct explanation for assertion.
C. Assertion is correct statement but reason is wrong statement.
D. Assertion is wrong statement but reason is correct statement.

Answer

To solve the question regarding the assertion and reason about the geometry and hybridization of \( \text{XeF}_2 \), we will follow these steps:

### Step 1: Determine the Valence Electrons of Xenon
Xenon (Xe) is a noble gas and has 8 valence electrons.

### Step 2: Count the Valence Electrons Contributed by Fluorine
Each fluorine (F) atom contributes 1 valence electron. Since there are 2 fluorine atoms in \( \text{XeF}_2 \), they contribute a total of 2 valence electrons.

### Step 3: Calculate the Total Number of Valence Electrons
Total valence electrons = Valence electrons of Xe + Valence electrons from F
\[ \text{Total} = 8 + 2 = 10 \text{ valence electrons} \]

### Step 4: Determine the Hybridization of Xenon
To find the hybridization, we use the formula:
\[ \text{Hybridization} = \frac{\text{Number of valence electrons of central atom} + \text{Number of monovalent atoms}}{2} \]
Substituting the values:
\[ \text{Hybridization} = \frac{8 + 2}{2} = 5 \]
This indicates that the hybridization of xenon in \( \text{XeF}_2 \) is \( \text{sp}^3\text{d} \).

### Step 5: Determine the Number of Bond Pairs and Lone Pairs
In \( \text{XeF}_2 \):
- There are 2 bond pairs (from the two Xe-F bonds).
- The remaining 3 pairs of electrons are lone pairs.

### Step 6: Determine the Geometry of \( \text{XeF}_2 \)
With 2 bond pairs and 3 lone pairs, the geometry can be predicted:
- The lone pairs will occupy the equatorial positions to minimize repulsion, while the bond pairs will occupy the axial positions.
- This arrangement leads to a linear geometry for the molecule.

### Step 7: Conclusion
- The assertion that \( \text{XeF}_2 \) has a linear geometry is correct.
- The reason that \( \text{XeF}_2 \) involves \( \text{sp}^3\text{d} \) hybridization is also correct, but it does not justify the linear geometry since the geometry is influenced by the arrangement of lone pairs and bond pairs.

### Final Answer
Both the assertion and reason are correct, but the reason is not the correct explanation for the assertion.

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