Assertion : The central catbon atom in `F_(2)C=C=CF_(2)` and both carbo atoms in `F_(2)B-Coverset(-)(=)C-BF_(2)` are sp-hybridized.
Reasom molecules are planar.

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 and the reason is not the correct explanation of assertion

Explanation

To solve the question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that the central carbon atom in `F2C=C=CF2` and both carbon atoms in `F2B-C≡C-BF2` are sp-hybridized.
- For `F2C=C=CF2`, the central carbon atoms are involved in a double bond. Each carbon atom forms one sigma bond and two pi bonds. The number of sigma bonds (2) indicates that the hybridization is sp (since sp hybridization corresponds to 2 sigma bonds).
- For `F2B-C≡C-BF2`, each carbon atom is involved in a triple bond with one sigma bond and two pi bonds. Again, the number of sigma bonds (2) indicates that the hybridization is sp.

**Conclusion**: The assertion is true.

2. **Understanding the Reason**:
- The reason states that the molecules are planar.
- For `F2C=C=CF2`, although the carbon atoms are sp-hybridized, the molecule is not planar due to the presence of two pi bonds that are oriented in perpendicular planes (this is characteristic of allene structures). Thus, the molecule is not planar.
- For `F2B-C≡C-BF2`, the sp hybridization suggests a linear geometry, which is planar.

**Conclusion**: The reason is false for `F2C=C=CF2` but true for `F2B-C≡C-BF2`. Therefore, the overall statement that "the molecules are planar" is incorrect when considering both structures together.

3. **Final Evaluation**:
- Since the assertion is true and the reason is false, the correct conclusion is that the assertion is true, but the reason is false.

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