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Q.
Identify the optically active cyclohexane from the given options.
J & K CETJ & K CET 2018Hydrocarbons
Solution:
cis- and trans - $1,4$-dimethylcyclohexane contain an internal symmetry plane, only two stereoisomers appear. Therefore, they are both meso compounds (optically inactive)
In contrast to $1, 4$- dimethylcyclohexane, only cis-$1,3$- dimethylcyclohexane contains an internal symmetry plane, while trans-$1$, $3$ dimethylcyclohexane does not. Thus, cis-1, 3- dimethylcyclohexane is a meso compound, and trans-$1,3$-dimethylcyclohexane shows optical activity