Assertion : The unpaired electron of `CH_(3)^(•)` free radical occupies p-oribtal.
Reason : `CH_(3)^(•)` possesses `sp^(2)`-hybridisation.

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

### Step 1: Understanding the Assertion
The assertion states that the unpaired electron of the `CH₃•` free radical occupies a p-orbital.

- **Explanation**: In the `CH₃•` free radical, the carbon atom has three hydrogen atoms bonded to it. Carbon has four valence electrons, and in the case of the `CH₃•` radical, one of these electrons is unpaired. The structure of `CH₃•` can be visualized with one of the electrons in a p-orbital, which is not involved in bonding with hydrogen atoms.

### Step 2: Understanding the Reason
The reason states that `CH₃•` possesses `sp²` hybridization.

- **Explanation**: In `CH₃•`, the carbon atom undergoes `sp²` hybridization. This means that one s-orbital and two p-orbitals combine to form three equivalent `sp²` hybrid orbitals. These hybrid orbitals are used to form sigma bonds with the three hydrogen atoms. The remaining p-orbital, which is not hybridized, contains the unpaired electron.

### Step 3: Analyzing the Relationship
Now, we need to determine if the reason correctly explains the assertion.

- **Conclusion**: Both the assertion and the reason are correct. The unpaired electron of the `CH₃•` free radical does occupy a p-orbital, and the reason that `CH₃•` possesses `sp²` hybridization is indeed the correct explanation for the assertion.

### Final Answer
Both the assertion and the reason are correct, and the reason is the correct explanation of the assertion.

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