The product of the reaction between tetralin and hot basic potassium permanganate is 1,4-cyclohexanedicarboxylic acid. This reaction is an example of oxidative cleavage, where the permanganate ion oxidizes the carbon-carbon double bond in tetralin, breaking it apart and forming two carboxylic acid groups.
The reaction can be represented as follows:

Tetralin Hot basic potassium permanganate 1,4-cyclohexanedicarboxylic acid