Which of the following statements are correct?

Options

A. `CH_(3)overset(o+)(N) -= overset(Theta)(C)` on partial hydrolysis gives `N`-methyl methanamide.
B. `CH_(3)overset(o+)(N) -= overset(ɵ)(C)` on partial hydrolysis gives `CH_(3)NH_(2)` and `HCOOH`.
C. In an isocyanide, first an electrophile and then a nucleoplile add at the same `C` atom bearing negative charge.
D. In an isocyanide, first a nucleophile and then an electrophile add at the same `C` atom bearing negative charge.

Explanation

To determine which statements about the hydrolysis of isocyanides are correct, we will analyze the process of hydrolysis step by step.

### Step 1: Understanding Isocyanides
Isocyanides have the general structure R-N≡C, where R is an alkyl group. In this case, we have CH3-N≡C, where the nitrogen is positively charged and the carbon is negatively charged.

**Hint:** Recall the structure of isocyanides and their charge distribution.

### Step 2: Partial Hydrolysis of Isocyanides
In partial hydrolysis, an electrophile (H⁺) attacks the negatively charged carbon atom. This results in the formation of a bond between carbon and hydrogen, leading to a positively charged carbon and a nitrogen atom that now has a lone pair of electrons.

**Hint:** Identify the role of electrophiles in chemical reactions.

### Step 3: Nucleophilic Attack
Next, a nucleophile (OH⁻) attacks the positively charged carbon. This leads to the formation of a compound known as N-methylmethanamide (CH3NHC(=O)OH).

**Hint:** Remember that nucleophiles are species that donate electron pairs.

### Step 4: Complete Hydrolysis
In complete hydrolysis, water is added, and the bond between carbon and nitrogen breaks. This results in the formation of methanamine (CH3NH2) and formic acid (HCOOH).

**Hint:** Differentiate between partial and complete hydrolysis based on the products formed.

### Step 5: Evaluating the Statements
1. **Statement A:** The partial hydrolysis of isocyanide gives N-methylmethanamide. **(Correct)**
2. **Statement B:** Partial hydrolysis gives ethanamide and formic acid. **(Incorrect, this is a product of complete hydrolysis)**
3. **Statement C:** In isocyanide, first an electrophile and then a nucleophile add to the same carbon atom bearing a negative charge. **(Correct)**
4. **Statement D:** In isocyanide, first a nucleophile and then an electrophile attack the same carbon atom bearing a negative charge. **(Incorrect)**

### Conclusion
The correct statements are A and C. The incorrect statements are B and D.

**Final Answer:** The correct statements are A and C.