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Reactivity of the alkaline metals depends upon the ionization enthalpy of metals.Since the ionization enthalpy of the alkaline metals decreases with the increase in the size of the metal down the group.Therefore , the reactivity of the alkaline metals increase down the group.

Reactivity of the halogens depends upon the electron affinity of the halogens.Since the electron affinity of the halogens decreases down the group, due to the increase in the size of the halogen atoms.Therefore, the reactivity of the halogen series decreases down the group.
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