The correct statement about stable isotopes is:
A stable nucleus has a similar number of protons and neutrons.
This statement is generally true because stable isotopes often have a balanced ratio of protons to neutrons, which contributes to their stability. The other statements are incorrect. Specifically:
- Not all isotopes are unstable; many isotopes are stable.
- Naturally occurring isotopes can be stable or unstable; not all naturally occurring isotopes are unstable.
- Isotopes with a large difference in neutrons and protons are usually unstable, not stable.
Thus, the first option is the most accurate.