`underset((A))(MeCH_(2)COOH)underset(underset((iii)Ag_(2)O //Pt)((ii)CH_(2)N_(2)))overset((i)SOCI)rarr(B)overset(H_(2)O)rarr(C)`
Which of the following statements are correct about the given reaction.

Options

A. The product `(B)` and `(C )`, respectively, are `MeCH=C=O` and `MeCH_2 COOMe`.
B. The products `(B)` and `( C)`, respectively, are : `MeCH_2 CH=C=O` and `MeCH_2 CH_2 COOH`.
C. The reaction is known as Wolff rearrangement reaction.
D. The reaction is known as rearrangement reaction.

Answer

To analyze the reaction sequence and determine the correct statements about the given reaction, we will break down the steps involved in the transformation of propanoic acid (MeCH₂COOH) to the final product (butanoic acid).

### Step-by-Step Solution:

1. **Reaction of Propanoic Acid with SOCl2**:
- When propanoic acid reacts with thionyl chloride (SOCl2), the hydroxyl (-OH) group of the carboxylic acid is replaced by a chlorine atom (-Cl). This forms an acid chloride.
- **Product A**: The product of this reaction is propanoyl chloride (MeCH₂C(O)Cl).

2. **Reaction with CH2N2 and Silver Oxide (Ag2O) under Platinum (Pt)**:
- The next step involves the reaction of the acid chloride with diazomethane (CH2N2) in the presence of silver oxide and platinum. This reaction leads to the formation of a free radical.
- The acid chloride undergoes a rearrangement where the ethyl group from the diazomethane attacks the carbonyl carbon, resulting in a new structure.
- **Product B**: The product formed here is a compound with a carbonyl group (C=O) and an ethyl group (C2H5) attached to the carbon that was part of the carbonyl.

3. **Hydrolysis of Product B**:
- The final step involves hydrolysis, where water is added to Product B. During hydrolysis, the carbonyl bond is broken, and an -OH group is added to one carbon while a hydrogen atom is added to the adjacent carbon.
- **Product C**: The final product of this hydrolysis is butanoic acid (C4H8O2), which is a four-carbon carboxylic acid.

### Summary of Products:
- **Product A**: Propanoyl chloride (MeCH₂C(O)Cl)
- **Product B**: A compound with a carbonyl and ethyl group (C=O with C2H5)
- **Product C**: Butanoic acid (C4H8O2)

### Evaluation of Statements:
1. **Statement A**: Incorrect - Product B is not correctly identified, and Product C is butanoic acid.
2. **Statement B**: Correct - Product B has the correct structure with C=O and C2H5.
3. **Statement C**: Correct - Product C is butanoic acid, which has four carbons.
4. **Statement D**: Incorrect - The reaction is a rearrangement, not a Wolf rearrangement.

### Correct Statements:
- The correct statements about the reaction are **B** and **C**.