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(B) The reactivity of halides in $S_N1$ reaction depends on the stability of the carbocation formed as the rate-determining step. The carbocations for

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$(II) < (I) < (III)$

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(B) The reactivity of halides in $S_N1$ reaction depends on the stability of the carbocation formed as the rate-determining step. The carbocations formed are: $(I)$ $CH_3-CH^+-CH_2-CH_3$ ($2^\circ$ carbocation) $(II)$ $CH_3-CH_2-CH_2^+$ ($1^\circ$ carbocation) $(III)$ $p-CH_3O-C_6H_4-CH_2^+$ (Resonance stabilized benzylic carbocation with strong $+M$ effect of $-OCH_3$ group). The stability order of these carbocations is $(II) Therefore,the increasing order of reactivity for the $S_N1$ reaction is $(II) < (I) < (III)$.

The increasing order of the reactivity of the following halides for the $S_N1$ reaction is:
$(I)$ $CH_3-CHCl-CH_2-CH_3$
$(II)$ $CH_3-CH_2-CH_2-Cl$
$(III)$ $p-CH_3O-C_6H_4-CH_2Cl$

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The increasing order of the reactivity of the following halides for the $S_N1$ reaction is: $(I)$ $CH_3-CHCl-CH_2-CH_3$ $(II)$ $CH_3-CH_2-CH_2-Cl$ $(III)$ $p-CH_3O-C_6H_4-CH_2Cl$