Which of the following is a pair of metamers ?

Options

A. `CH_(3)-CH_(2)-overset(O)overset(||)(C)-OH and CH_(3)-overset(O)overset(||)(C)-O-CH_(3)`
B. `CH_(3)-overset(O)overset(||)(C)-O-CH_(3) and H-overset(O)overset(||)(C)-O-CH_(2)CH_(3)`
C. `CH_(3)-CH_(2)-overset(O)overset(||)(C)-CH_(3) and H-overset(O)overset(||)(C)-CH_(3)-CH_(2)-CH_(3)`
D. None of these

Answer

To determine which of the given options is a pair of metamers, we need to follow these steps:

### Step 1: Understand the Definition of Metamers
Metamers are a type of isomerism where compounds have the same molecular formula but differ in the arrangement of alkyl groups around a polyvalent atom (like nitrogen or sulfur) or a functional group.

### Step 2: Analyze the Given Options
We need to look at the options provided and check if they have the same molecular formula and different alkyl groups attached to the same functional group or polyvalent atom.

### Step 3: Evaluate Each Option
1. **Option 1**: Check if the compounds have the same molecular formula and different alkyl groups.
2. **Option 2**: Check if the compounds have the same molecular formula and different alkyl groups.
3. **Option 3**: Check if the compounds have the same molecular formula and different alkyl groups.
4. **Option 4**: This option states "none of these," which we can consider if the first three options do not qualify.

### Step 4: Identify the Correct Pair
- **Option 1**: If the compounds have different functional groups, they are functional isomers, not metamers.
- **Option 2**: If the compounds have the same molecular formula and different alkyl groups, they qualify as metamers.
- **Option 3**: If the compounds are functional isomers, they do not qualify as metamers.
- **Option 4**: This option will only be correct if none of the previous options qualify as metamers.

### Conclusion
After analyzing the options, we find that **Option 2** is the correct answer as it contains a pair of metamers.