Final answer:
The statement is false.
The radius of a beryllium ion (Be³⁺) in its excited state with a single electron would be zero, not the same as the ground state of a hydrogen atom.
Step-by-step explanation:
The statement is false.
The ground state of a hydrogen atom has a single electron in the 1s orbital. Since the beryllium ion (Be³⁺) has lost all its valence electrons, it only has the nucleus left.
Therefore, the radius of the Be³⁺ ion in its excited state with a single electron present would be zero. It would not have the same radius as the ground state of a hydrogen atom.