The correct option is C ArSN:II>I
For SN1 mechanism, the order of reactivity is dependent on the stability of the intermediate carbocation formed by the cleavage of C−X bond. The 3∘ carbocation (formed from III) will be more stable than its 2∘ counter part (formed from IV) .
For SN1 mechanism, steric factor plays important role.
II will be more reactive than I towards ArSN due to the presence of the electron withdrawing NO2 group.