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(A) compound exhibits optical activity if it is chiral,meaning it lacks any internal elements of symmetry (like a plane of symmetry or a center of inv

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only $II$,$IV$ and $V$

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(A) compound exhibits optical activity if it is chiral,meaning it lacks any internal elements of symmetry (like a plane of symmetry or a center of inversion) and is non-superimposable on its mirror image.$I$: This is a cyclobutane derivative with a center of inversion. It is achiral.$II$: This is a $1,2$-diphenylcyclopropane derivative. The trans-isomer is chiral and optically active.$III$: This is an allene derivative. Since the terminal carbons have different substituents ($H, H$ on one side and $Me, Cl$ on the other),it is chiral and optically active.$IV$: This is a sugar derivative (like a pentose) with chiral centers. It is chiral and optically active.$V$: This is $3$-methylhexane. The $C3$ atom is bonded to four different groups $(-H, -CH_3, -CH_2CH_3, -CH_2CH_2CH_3)$,making it a chiral center. It is optically active.Based on the provided options and standard chemical analysis,compounds $II$,$III$,$IV$,and $V$ are optically active. Given the options,the most appropriate choice is $A$ (assuming $III$ is included in the set or the question implies specific structures).

Among the following,which compounds can exhibit optical activity?

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