Final answer:
The pair of nuclei hydrogen-2 and hydrogen-3 can undergo a fusion reaction, forming a helium nucleus and a neutron while releasing significant energy.
Step-by-step explanation:
The nuclei pair that can undergo a fusion reaction is hydrogen-2 (deuterium) and hydrogen-3 (tritium). The process of thermonuclear fusion, which occurs at extremely high temperatures, involves these isotopes of hydrogen forming a helium nucleus and a neutron. The reaction is represented by the equation:
²H + ³H → ⁴He + n.
This reaction releases a significant amount of energy and is part of the process that powers the sun and other stars. The other pairs listed, including uranium-238 and lead-208, zinc-64 and calcium-44, and potassium-40 and cadmium-113, are not suitable for a fusion reaction due to their atomic structure and stability.