Which pair does not represent a cyclic compound of the formula `C_(4)H_(6)`

Options

A.
B.
C.
D.

Explanation

To determine which pair does not represent a cyclic compound of the formula C₄H₆, we need to analyze the molecular formula and the possible structures that can be formed with it. Here’s a step-by-step solution:

### Step 1: Understand the Molecular Formula
The molecular formula C₄H₆ indicates that there are 4 carbon atoms and 6 hydrogen atoms in the compound.

### Step 2: Identify Cyclic Compounds
Cyclic compounds are those where the carbon atoms form a ring structure. For a compound to be cyclic, it must have a structure that allows the carbon atoms to connect back to form a closed loop.

### Step 3: Analyze Each Pair
We need to check each given pair of compounds to see if they can form a cyclic structure with the formula C₄H₆.

1. **Pair A**: Check the number of carbon and hydrogen atoms. If they can form a ring and match the formula C₄H₆, they are valid cyclic compounds.
2. **Pair B**: Repeat the analysis for this pair.
3. **Pair C**: Again, check the structure and count the atoms.
4. **Pair D**: Finally, analyze this pair.

### Step 4: Count Atoms
For each pair, count the number of carbon and hydrogen atoms. If any pair has fewer than 6 hydrogens or cannot form a cyclic structure, it does not represent a cyclic compound of C₄H₆.

### Step 5: Identify the Incorrect Pair
After analyzing all pairs, identify which one does not meet the criteria of being a cyclic compound with the formula C₄H₆.

### Conclusion
The pair that does not represent a cyclic compound of the formula C₄H₆ is the one that either has fewer than 6 hydrogen atoms or cannot form a cyclic structure.

### Final Answer
The correct answer is **Pair D** does not represent a cyclic compound of the formula C₄H₆.

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