Final answer:
The neutral potassium (K) atom is the largest among the given options because it has more electron shells than the others and loses no electrons unlike its ionised form K+ or compared to Ca and Ca2+.
Step-by-step explanation:
The size of an atom or ion is influenced by the number of electrons and the effective nuclear charge. Atoms generally become smaller as you move across a period from left to right in the periodic table due to an increase in the positive charge of the nucleus, which pulls the electrons closer. Meanwhile, as you move down a group, atoms become larger due to the addition of electron shells. In this specific question, the largest entity would be the neutral K (potassium) atom since it has more electron shells compared to K+ (which has lost an electron and thus has a reduced radius due to a greater effective nuclear charge), Ca (calcium), and Ca2+ (which has lost two electrons, making it even smaller than the neutral atom). The Li (lithium) atom is smaller than potassium because it has fewer electron shells.