How does atomic radius vary in a period and in a group ? How yoy explain the variation ?

On moving across a period, the valence shell remains the same and the electrons are increasing by one unit. As a result, the nuclear charge increases thus the atomic radius decreases.
On moving down a group, the shells go on increasing.As a result, the nuclear charge decreases.
Thus, the atomic radius increases down a group.
Hope this helps.

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