The correct option is
A II > I > IV > III
In
SN2 reaction, the nucleophile attacks from the back side and forms a transition state and then the leaving group leaves. It is a single step concerted reaction. Thus, the rate of the reaction depends on both reactant and the nucleophile.
In primary substrate, there will be less steric hindrance so the attack of nucleophile will become easier and rate of
SN2 reaction is faster.
The order of rate of substrate for
SN2 reaction is
Primary > Secondary > Tertiary
Presence of electron withdrawing group increases the reactivity of the substrate towards
SN2 reaction.
Comparing (I) and (II)
Both
Cl and
CN are -I group. But
CN shows more -I effect than
Cl.
In (IV), we don't have any destabilising group but it is a primary carbocation which is less steric.
Therefore, the decreasing order of rate of
SN2 reaction is
II > I > IV > III