Assertion : `C_(3)O_(2)` is non-polar molecule.
Reason : Terminal `pi-bonds of the molecule are lying in different planes.

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

Answer

To analyze the assertion and reason provided in the question, we will break down the steps involved in determining the polarity of the molecule \( C_3O_2 \) and the validity of the reasoning.

### Step 1: Understand the Structure of \( C_3O_2 \)
- The molecular formula \( C_3O_2 \) suggests that we have three carbon atoms and two oxygen atoms.
- The structure can be represented as \( O=C=C=C=O \), which indicates that there are double bonds between the carbon and oxygen atoms.

### Step 2: Draw the Lewis Structure
- Draw the Lewis structure of \( C_3O_2 \):
- Carbon atoms are bonded to each other with double bonds.
- Each terminal carbon is double-bonded to an oxygen atom.
- This results in a linear arrangement of atoms: \( O=C=C=C=O \).

### Step 3: Analyze the Molecular Geometry
- The geometry of \( C_3O_2 \) is linear due to the arrangement of the double bonds.
- In a linear molecule, the dipole moments of the bonds can either cancel out or add up depending on the electronegativity of the atoms involved.

### Step 4: Determine Polarity
- The molecule \( C_3O_2 \) has polar bonds (C=O) due to the difference in electronegativity between carbon and oxygen.
- However, because the molecule is linear, the dipole moments from the terminal C=O bonds will cancel each other out.
- Therefore, \( C_3O_2 \) is a non-polar molecule.

### Step 5: Evaluate the Assertion and Reason
- **Assertion**: \( C_3O_2 \) is a non-polar molecule. This is **true**.
- **Reason**: Terminal pi-bonds of the molecule are lying in different planes. This is **false** because the molecule is linear, and the pi-bonds do not lie in different planes; they lie in the same plane.

### Conclusion
- The assertion is true, but the reason is false. Therefore, the correct answer is that the assertion is true, but the reason is incorrect.