\( S_N1 \) reaction proceeds via formation of a carbocation intermediate, and its rate depends on the stability of this carbocation.
Among the options:
- Benzyl carbocation (PhCH$_2^+$) is highly stable due to resonance with the benzene ring.
- Other options form either vinyl, secondary, or less stabilized carbocations.
Therefore, the reaction rate is fastest for benzyl bromide.