Which of the following can show optical activity?

The optically inactive compound from the following is

Among the following,which compounds can exhibit optical activity?

$A$ polarimeter is used to determine . . . . . . of compounds.

$A$ substance that can rotate the plane of plane-polarized light is called........

The correct statement$(s)$ about the compound $H_3C-CH(OH)-CH=CH-CH(OH)-CH_3$ $(X)$ is(are):
$(A)$ The total number of stereoisomers possible for $X$ is $6$.
$(B)$ The total number of diastereomers possible for $X$ is $3$.
$(C)$ If the stereochemistry about the double bond in $X$ is trans,the number of enantiomers possible for $X$ is $4$.
$(D)$ If the stereochemistry about the double bond in $X$ is cis,the number of enantiomers possible for $X$ is $2$.