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(C) The reaction of $trans$-but$-2-$ene with $Br_2$ in $CCl_4$ proceeds via an anti-addition mechanism.This reaction involves the formation of a cycli

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$2$

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(C) The reaction of $trans$-but$-2-$ene with $Br_2$ in $CCl_4$ proceeds via an anti-addition mechanism.This reaction involves the formation of a cyclic bromonium ion intermediate.Since the starting material is $trans$-but$-2-$ene,the anti-addition of bromine atoms to the double bond results in the formation of a pair of enantiomers (racemic mixture).The two stereoisomeric products formed are $(2R, 3R)-2,3-dibromobutane$ and $(2S, 3S)-2,3-dibromobutane$.Therefore,the total number of stereoisomeric products $(X)$ is $2$.

The reaction of trans-but$-2-$ene with $Br_2$ in $CCl_4$ yields products. The number of stereoisomeric products $(X)$ formed is:

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$(R)-3-$bromocyclopentene (shown below) reacts with $Br_2/CCl_4$ to form two products,$Y$ and $Z$. $Y$ is not optically active (does not rotate plane-polarized light). What is the structure of $Y$?

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Reagent $A$ may be:

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