The rate of reaction with AgNO3 will be
III > I > II
Rate α stability of carbocation
(I) is a position where the resulting carbocation is 3∘. (II) and (III) are positions where 2∘ carbocations are involved.
But the carbocation involving (III) is stabilized via resonance. Hence, rate of the reaction follows:
(III) > (I) > (II)