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(A) Step $1$: The reduction of but-$2$-yne with $Na/NH_3(liq)$ in the presence of ethanol is a Birch reduction,which yields $trans$-but-$2$-ene as the

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(A) Step $1$: The reduction of but-$2$-yne with $Na/NH_3(liq)$ in the presence of ethanol is a Birch reduction,which yields $trans$-but-$2$-ene as the intermediate $X$.Step $2$: The reaction of $trans$-but-$2$-ene with dilute alkaline $KMnO_4$ (Baeyer's reagent) proceeds via $syn$-dihydroxylation.Step $3$: $Syn$-dihydroxylation of $trans$-alkenes results in the formation of a racemic mixture of enantiomers.Step $4$: The product is a racemic mixture of $(2R, 3R)$-butane-$2,3$-diol and $(2S, 3S)$-butane-$2,3$-diol,which corresponds to the structures shown in option $A$.

The product$(s)$ from the above reaction will be

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