Step 1: Understanding the Concept:
Hot acidified \(\text{KMnO}_4\) is a strong oxidising agent that breaks the carbon-carbon double bond and converts each carbon of the C=C into a carboxylic acid group (or a ketone if it is fully substituted).
Step 2: Apply to cyclohexene:
Cyclohexene has a double bond between two ring carbons. When it breaks, the ring opens. Each of the two former alkene carbons becomes a -COOH group.
Step 3: Name the product:
The six carbons are now in a straight chain with -COOH at both ends: \(\text{HOOC-(CH}_2)_4\text{-COOH}\). This is hexane-1,6-dioic acid (adipic acid).
Step 4: Why the other options are wrong.
Benzene dicarboxylic acids (A and D) contain a benzene ring, which cannot form from cyclohexene by oxidation. Pent-2-enoic acid (B) has only 5 carbons and still has a double bond, but all 6 carbons must be retained.
Final Answer:
Cyclohexene gives hexane-1,6-dioic acid on oxidation.
\[ \boxed{\text{(C) }\text{hexane-1,6-dioic acid}} \]