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(A) The stability of alkenes is directly proportional to the number of hyperconjugating structures,which in turn depends on the number of $\alpha$-hyd

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$IV > III > II > I$

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(A) The stability of alkenes is directly proportional to the number of hyperconjugating structures,which in turn depends on the number of $\alpha$-hydrogen atoms attached to the $sp^2$ hybridized carbon atoms of the double bond.Counting the $\alpha$-hydrogen atoms for each compound:$I$: Vinylcyclohexane has $1$ $\alpha$-hydrogen atom.$II$: Cyclohexene has $4$ $\alpha$-hydrogen atoms.$III$: $1$-Methylcyclohexene has $7$ $\alpha$-hydrogen atoms.$IV$: $1,2$-Dimethylcyclohexene has $10$ $\alpha$-hydrogen atoms.Since the number of $\alpha$-hydrogen atoms follows the order $IV (10) > III (7) > II (4) > I (1)$,the stability order is $IV > III > II > I$.

The correct order of the stability of the following compounds based on hyperconjugation is

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