The false statement among the given options is:
III. Some atoms do not have any protons.
Explanation:
Protons are positively charged subatomic particles that reside in the nucleus of an atom. They play a crucial role in determining the atomic number and identity of the element. Every atom of a particular element has at least one proton in its nucleus. Therefore, it is not possible for an atom to exist without any protons.
Option I is true. Some atoms, known as isotopes, can have different numbers of neutrons while still belonging to the same element. Isotopes have the same number of protons but different numbers of neutrons, resulting in variations in atomic mass.
Option II is true. Protons and neutrons are indeed found in the nucleus of an atom. The nucleus contains most of the mass of an atom and is composed of protons and neutrons tightly bound together.
In summary, statement III is false. Atoms always have at least one proton in their nucleus.