Along a period, atomic volume of the elements gradually increases from left to right due to an increase in the number of valence electrons.
1. In a period, from left to right the differentiating electron enters into the same shell, this results in the increase in the effective nuclear charge.
2. As the nuclear charge increases, electrons are pulled close to the nucleus and the size shrinks as we go to right side of the periodic table.
Hence, the statement is false.