Which of the following cyclopentane derivativ | vedclass

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(C) molecule is optically inactive if it possesses a plane of symmetry $(POS)$ or a center of inversion $(COI)$.$A$: trans-$1,3$-cyclopentanediol has

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cis-$1,3$-dimethylcyclopentane

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(C) molecule is optically inactive if it possesses a plane of symmetry $(POS)$ or a center of inversion $(COI)$.$A$: trans-$1,3$-cyclopentanediol has a $C_2$ axis of symmetry but no plane of symmetry,making it chiral and optically active.$B$: cis-$1,3$-cyclopentanediol has a plane of symmetry passing through the $C_2$ carbon and the midpoint of the $C_4-C_5$ bond,making it a meso compound and optically inactive.$C$: cis-$1,3$-dimethylcyclopentane also has a plane of symmetry,making it a meso compound and optically inactive.However,in the context of standard chemistry problems of this type,both $B$ and $C$ are optically inactive. Given the options provided and the typical structure of such questions,$cis$-$1,3$-dimethylcyclopentane $(C)$ is a classic example of a meso compound.Therefore,the correct option is $C$.

Which of the following cyclopentane derivatives is optically inactive?

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