Which compound has the highest reactivity towards $S_{N}2$ reaction?

Hydrolysis of an alkyl bromide $X$ $(C_5H_{11}Br)$ follows first-order kinetics. Reaction of $X$ with $Mg$ in dry ether followed by treatment with $D_2O$ gives $Y$. What is $Y$?

In the following reactions,
$(i) CH_3-CH(CH_3)-CH(OH)-CH_3 \xrightarrow{H^{+}/\text{heat}} A \text{ [Major product]} + B \text{ [Minor product]}$
$(ii) A$ $\xrightarrow[\text{in absence of peroxide}]{HBr, \text{dark}} C \text{ [Major product]} + D \text{ [Minor product]}$
the major products $(A)$ and $(C)$ are respectively:

Discuss the relationship between nucleophilic substitution reactions and optical activity.

Which of the following compounds is most rapidly hydrolysed by $S_N1$ mechanism?

The decreasing order of reactivity of the following organic molecules towards $AgNO_3$ solution is: