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 regarding the `CH3^(•)` free radical.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that the unpaired electron of `CH3^(•)` occupies a p-orbital.
- To understand this, we first need to determine the hybridization of the carbon atom in `CH3^(•)`.

2. **Determining Hybridization**:
- The carbon atom has an atomic number of 6, with the electronic configuration of `1s² 2s² 2p²`.
- In `CH3^(•)`, the carbon atom is bonded to three hydrogen atoms and has one unpaired electron, making it a free radical.

3. **Hybridization Process**:
- In `CH3^(•)`, the carbon atom undergoes hybridization.
- The carbon atom uses one `2s` orbital and two `2p` orbitals to form three `sp²` hybrid orbitals.
- This leaves one `2p` orbital unhybridized, which will contain the unpaired electron.

4. **Geometry of `CH3^(•)`**:
- The geometry of `CH3^(•)` is trigonal planar due to `sp²` hybridization, with bond angles of approximately 120 degrees.
- The unpaired electron resides in the remaining unhybridized p-orbital, confirming the assertion.

5. **Understanding the Reason**:
- The reason states that `CH3^(•)` possesses `sp²` hybridization.
- Since we have established that the carbon in `CH3^(•)` indeed undergoes `sp²` hybridization, this statement is true.

6. **Conclusion**:
- Both the assertion and the reason are true.
- Additionally, the reason correctly explains the assertion, as the unpaired electron occupies the unhybridized p-orbital due to the `sp²` hybridization.

### Final Answer:
Both the assertion and the reason are true, and the reason is the correct explanation for the assertion. Therefore, the answer is option C.