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The reactivity of an element largely depends on its electronic configuration. All the 1st group elements have one electron each in the outer most s-orbital. Their reactivity is due to the loss of this electron and formation of a uni positive ion. The ease with which the element loses the electron dictates its activity. As we go down the group, the distance between the outer most orbital and nucleus increases and hence the ease with which the element loses the electron increases as we go down the group. So naturally the reactivity increases.

However in the case of 7th group elements(halogens) the electronic configuration is s2p5. They acquire stability by acquiring another electron. This is called electron affinity. This increases as we go up a group. So we find the more reactive element at the top of the group.

We can generalize this like this. The reactivity of an element depends on the ease with which it acquires the nearest iner gas electronic configuration.

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