Final answer:
Ultraviolet (UV) light would show that an atom has a large gap between two quantum energy levels because it has higher energy than visible light and can break bonds at the cellular level.
Step-by-step explanation:
The band of light that would show that an atom has a large gap between two quantum energy levels is Ultraviolet (UV) light. UV light has higher energy than visible light and can break bonds at the cellular level. It carries more energy than X-rays and is more difficult to detect in Compton scattering.