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(D) The reaction is an Aldol condensation of cyclopentanone. $1$. In the presence of $dil. NaOH$,two molecules of cyclopentanone undergo self-aldol co

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(D) The reaction is an Aldol condensation of cyclopentanone. $1$. In the presence of $dil. NaOH$,two molecules of cyclopentanone undergo self-aldol condensation to form a $\beta$-hydroxy ketone,which is $X$ ($2$-($1$-hydroxycyclopentyl)cyclopentanone). $2$. Upon heating with $H^+$,the $\beta$-hydroxy ketone undergoes dehydration to form an $\alpha,\beta$-unsaturated ketone,which is $Y$ ($2$-cyclopentylidenecyclopentanone).

Consider the above reaction,the products $X$ and $Y$ respectively are:

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The products $(A)$ and $(B)$ are formed by the following reaction sequence:
$1$. $\text{NH}_2\text{OH}$
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Identify the products $(A)$ and $(B)$.

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