Assertion: `S_(N^1)` reactions are generally carried out in polar protic solvents (like water,alcohol, acetic acid etc.)
Reason: `C_6H_5CH(C_6H_5)Br` is less reactive than `C_6H_5CH(CH_3)Br` in `S_(N^1)` reactions.

Options

A. If both assertion and reason are true and reason Is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assetion is true but reason is false.
D. If both assertion and reason are false.

Explanation

To analyze the assertion and reason provided in the question, we will break down the concepts involved in \( S_N1 \) reactions and the reactivity of the given compounds.

### Step 1: Understanding \( S_N1 \) Reactions
- **Assertion**: \( S_N1 \) reactions are generally carried out in polar protic solvents.
- **Explanation**: \( S_N1 \) reactions involve the formation of a carbocation intermediate. Polar protic solvents stabilize this carbocation by solvation, which is crucial for the reaction to proceed. Therefore, the assertion is true.

### Step 2: Comparing Reactivity of the Two Compounds
- **Reason**: We need to compare the reactivity of \( C_6H_5CH(C_6H_5)Br \) (let's call it Compound A) and \( C_6H_5CH(CH_3)Br \) (let's call it Compound B) in \( S_N1 \) reactions.
- **Analysis**:
- Compound A has two phenyl groups attached to the carbon bearing the leaving group (bromine), which can stabilize the carbocation formed after the leaving group departs.
- Compound B has only one phenyl group attached to the same carbon. The presence of the methyl group (CH₃) does not provide as much stabilization as the second phenyl group.

### Step 3: Stability of Carbocations
- **Carbocation Stability**: The stability of a carbocation increases with the number of alkyl or aryl groups attached to the positively charged carbon.
- **Conclusion**: The carbocation formed from Compound A is more stable than that from Compound B due to the presence of two phenyl groups, making Compound A more reactive in \( S_N1 \) reactions than Compound B.

### Final Evaluation
- **Assertion**: True (because \( S_N1 \) reactions are indeed carried out in polar protic solvents).
- **Reason**: False (because Compound A is more reactive than Compound B, not less).

### Answer
The assertion is true, but the reason is false.