1) F- 2) Ne 3) Na+ 4)Mg2+
For something like this, you need to realize that all these species have 10 electrons (the same).
The two biggest factors affecting atomic radius are the # electrons, and the effective nuclear charge on
the valence electrons.
In this case, since you know the # electrons are exactly the same, you can only rely on the effective
nuclear charge aka. how much the nucleus attract the electrons.
In this case, F has 9 protons, Ne has 10p+, Na has 11p+, and Mg has 12p+.
Mg would have the smaller atomic radius since it has the most protons, and thus, would be able to
attract the 10 electrons much closer than any other atom.