Identify the products X and Y in the given reaction,
`CH_3-underset(Br)underset(|)CH-CH_3+Mgoverset("Dry ether")rarrXoverset(D_2O)rarrY`

Options

A. `X=CH_3-underset(Br)underset(|)CH-CH_2Mg,Y=CH_3CH_2CH_2OH`
B. `X=CH_3-underset(MgBr)underset(|)CH-CH_3,Y=CH_3,Y=CH_3-underset(D)underset(|)CH-CH_3`
C. `X=CH_3-underset(Br)underset(|)CH-CH_2Mg,Y=CH_3-underset(OD)underset(|)CH-CH_3`
D. `X=CH_3-underset(Br)underset(|)CH-CH_2Mg, Y=CH_3-underset(OH)underset(|)CH-CH_3`

Explanation

To solve the problem, we need to identify the products X and Y from the given reaction involving an alkyl halide, magnesium, and deuterated water (D2O).

### Step-by-Step Solution:

1. **Identify the Alkyl Halide**:
The alkyl halide given is CH3-CH(Br)-CH3, which is 2-bromopropane.

**Hint**: Look for the structure of the alkyl halide and identify the carbon bonded to the halogen.

2. **Formation of Grignard Reagent**:
When 2-bromopropane reacts with magnesium (Mg) in dry ether, it forms a Grignard reagent. The reaction can be represented as:
\[ \text{CH}_3\text{CH(Br)CH}_3 + \text{Mg} \xrightarrow{\text{Dry Ether}} \text{CH}_3\text{CH(MgBr)CH}_3 \]
The product X is therefore CH3-CH(MgBr)-CH3.

**Hint**: Remember that Grignard reagents are formed by the reaction of alkyl halides with magnesium in an anhydrous environment.

3. **Hydrolysis of Grignard Reagent**:
The Grignard reagent (X) is then treated with deuterated water (D2O). The hydrolysis of Grignard reagents typically results in the formation of an alkane and a magnesium salt. In this case, instead of hydrogen (H), deuterium (D) will be incorporated into the product.

The reaction can be represented as:
\[ \text{CH}_3\text{CH(MgBr)CH}_3 + \text{D}_2\text{O} \rightarrow \text{CH}_3\text{CH(D)CH}_3 + \text{MgBrOD} \]
Thus, the product Y is CH3-CH(D)-CH3, which is 2-deuteropropane.

**Hint**: When hydrolyzing Grignard reagents, remember that the halogen is replaced by a hydrogen or, in this case, deuterium.

### Final Products:
- **Product X**: CH3-CH(MgBr)-CH3 (Grignard reagent)
- **Product Y**: CH3-CH(D)-CH3 (2-deuteropropane)

### Summary:
- X is CH3-CH(MgBr)-CH3
- Y is CH3-CH(D)-CH3