Which one of the following compounds is inactive towards S N 1 reaction?

SN1 reaction mechanism follows a step-by-step process wherein first, the carbocation is formed from the removal of the leaving group. Then the carbocation is attacked by the nucleophile.

tertiary, benzylic or allylic carbocations are stable carbocations So, they can give this reaction.

But Bridge head carbocation formed in ${\mathrm{SN}}^1$pathway is unstable. So, option (C) does not give this reaction.