The correct option is
C 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 alkyl halide for
SN2 reaction is
Primary > Secondary > Tertiary
In compound II), due to presence of withdrawing , electrophilicity of the substrate is more.
Compound (I) less steric compare to (IV) and (IV) is less steric than (III).
Thus the correct decreasing order of rate of
SN2 reaction is
(II) > (I) > (IV) > (III)