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Benzylamine may by alkylated as shown in the following equation?

Which of the following alkyl halides is best suited for this reaction through $\mathrm{S}_{\mathrm{N}}$ 1 mechanism?
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Which of the following alkyl halides is best suited for this reaction through $\mathrm{S}_{\mathrm{N}}$ 1 mechanism?
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The correct answer is:
$\mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_2 \mathrm{Br}$
$\mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_2 \mathrm{Br}$
$\mathrm{S}_{\mathrm{N}} 1$ reaction involves the formation of carbocation, so, more stable carbocation will have higher reactivity towards $\mathrm{S}_{\mathrm{N}} 1$ mechanism.

As $\mathrm{C}_6 \mathrm{H}_5{ }^{+} \mathrm{CH}_2$ is the most stabilised carbocation due to resonance, hence it will be most reactive towards $\mathrm{S}_{\mathrm{N}} 1$ mechanism.

As $\mathrm{C}_6 \mathrm{H}_5{ }^{+} \mathrm{CH}_2$ is the most stabilised carbocation due to resonance, hence it will be most reactive towards $\mathrm{S}_{\mathrm{N}} 1$ mechanism.
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