Answer is: 3) francium.
The atomic radius of a chemical element is a measure of the size of its atom.
The atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.
Potassium (K), rubidium (Rb), ceasium (Cs) and francium (Fr) are in group 1 (the alkali metals) of the periodic tabl.
The atomic radius increases down the group of Periodic table and francium is on the bottom of the group 1 with highest atomic number.
The atom with the largest atomic radius among potassium, rubidium, cesium, and francium is francium, due to it being furthest down the group of alkali metals.
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The atom with the largest atomic radius among the given options is francium (C) due to its position in the periodic table. As an alkali metal in Period 7, it has more electron shells than the other options, leading to a greater atomic size. This trend in atomic radius is a result of increased electron shells down a group and decreased radius across a period.
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