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(C) The starting material is a $\beta$-hydroxy acid derivative of cyclopentanone. Treatment with $KBrO$ (hypobromite) followed by $H^+$ typically lead

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(C) The starting material is a $\beta$-hydroxy acid derivative of cyclopentanone. Treatment with $KBrO$ (hypobromite) followed by $H^+$ typically leads to oxidative cleavage or haloform-type reactions. However,in the context of this specific reaction sequence,the $\beta$-keto acid or related intermediate $(X)$ undergoes decarboxylation upon heating $(\Delta)$. Decarboxylation of a $\beta$-keto acid results in the loss of $CO_2$ to form the corresponding ketone. Therefore,the final product $(Y)$ is cyclopentanone.

Hence the product $(Y)$ in the above sequence of reactions,is

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