The correct option is D Both III and IV
Since the rate determining step of SN1 reaction involves carbocation formation.
Rate of reaction∝Stability of carbocation
III. Electron donating −CH3 group stabilises benzylic carbocation, hence increases reactivity of corresponding substrate.
I is less reactive than III as carbocation formed by I is less stable than than formed by III.
IV. Electron withdrawing −NO2 decreases stability of carbocation decreases reactivity of corresponding substrate in SN1 reaction.
II. Electron withdrawing −Br decreases stability of carbocation decreases reactivity of corresponding substrate in SN1 reaction but this substrate is more reactive than IV.
Order of reactivity is III>I>II>IV. Hence III is most reactive and IV is least reactive.