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(C) $S_{N}1$ reaction proceeds via the formation of a carbocation intermediate. The rate of $S_{N}1$ reaction depends on the stability of the carbocat

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$II$ and $III$ only

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(C) $S_{N}1$ reaction proceeds via the formation of a carbocation intermediate. The rate of $S_{N}1$ reaction depends on the stability of the carbocation formed.$I$: This is a vinylic halide. The resulting vinylic carbocation is highly unstable due to the $sp$ hybridization of the positively charged carbon.$II$: This is a tert-butyl bromide. It forms a stable $3^{\circ}$ carbocation,which is stabilized by hyperconjugation.$III$: This is $p$-methoxybenzyl bromide. It forms a resonance-stabilized benzylic carbocation,which is further stabilized by the electron-donating $+R$ effect of the $-OCH_3$ group.$IV$: This is a bridgehead bromide ($1$-bromobicyclo[$2.2$.$1$]heptane). Formation of a carbocation at the bridgehead position is highly unstable due to Bredt's rule,which prevents the planar geometry required for the carbocation.Therefore,only compounds $II$ and $III$ can undergo an $S_{N}1$ reaction.

Among the following,the compounds which can undergo an $S_{N}1$ reaction in an aqueous solution are:

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