Concept: Reactivity in nucleophilic substitution ($S_N1$ and $S_N2$) depends heavily on the "leaving group ability" of the halogen.
• Bond Strength: Reactivity is inversely proportional to the Carbon-Halogen ($C-X$) bond strength. C-F is the strongest bond, making it very difficult to break.
• Size and Polarizability: As we move down the halogen group (F to I), the size of the halide ion increases. Larger ions are better leaving groups because they can stabilize the negative charge over a larger volume.
• Stability: $I^-$ is the weakest base and therefore the most stable leaving group.
Step 1: Evaluate the bond dissociation energies.
The $C-I$ bond is the longest and weakest in the series due to the poor orbital overlap between the $p$-orbital of Carbon and the large $5p$ orbital of Iodine. The $C-F$ bond is the shortest and strongest.
Step 2: Compare leaving group ability.
In both $S_N1$ (where the bond breaks first) and $S_N2$ (where the bond breaks as the new one forms), the ease of departure of the halogen determines the rate.
The order of leaving group ability is: $I^- > Br^- > Cl^- > F^-$.
Consequently, the reactivity order follows the same sequence.