Consider the ollowing statement about `SN^(1)` reaction
(i) it is a bimolecular reaction
(ii) it proceeds with retention as well as inversion of the configuration.
(iii) It involves the fomrationn of an intermediate cabocation
(iv) The reaction is carried in the presence of polar aprotic solvents

Options

A. Only (i)
B. (i) and (ii)
C. (ii) and (iii)
D. (i), (ii), (iii), (iv)

Answer

To analyze the statements about the SN1 reaction, we will evaluate each statement one by one.

### Step 1: Evaluate Statement (i)
**Statement**: It is a bimolecular reaction.
**Analysis**: The SN1 reaction is actually a unimolecular reaction, as the rate-determining step involves only one molecule (the alkyl halide) forming a carbocation. Therefore, this statement is **false**.

### Step 2: Evaluate Statement (ii)
**Statement**: It proceeds with retention as well as inversion of the configuration.
**Analysis**: In an SN1 reaction, the nucleophile can attack the carbocation from either side, leading to both retention of configuration (if it attacks from the same side) and inversion of configuration (if it attacks from the opposite side). Therefore, this statement is **true**.

### Step 3: Evaluate Statement (iii)
**Statement**: It involves the formation of an intermediate carbocation.
**Analysis**: The SN1 mechanism involves the formation of a carbocation intermediate after the leaving group departs. Therefore, this statement is **true**.

### Step 4: Evaluate Statement (iv)
**Statement**: The reaction is carried in the presence of polar aprotic solvents.
**Analysis**: SN1 reactions are favored by polar protic solvents, which stabilize the carbocation intermediate. Polar aprotic solvents are more characteristic of SN2 reactions. Therefore, this statement is **false**.

### Conclusion
- Statement (i): False
- Statement (ii): True
- Statement (iii): True
- Statement (iv): False

### Final Answer
The true statements about the SN1 reaction are:
- It proceeds with retention as well as inversion of configuration.
- It involves the formation of an intermediate carbocation.