Which of these two bodies gets its internal heat from nuclear processes? A) Both.B) Sun.C) Neither.D) Earth.

A) Both. Surprised? See

http://www.redorbit.com/news/science/2080331/half_of_earths_internal_heat_comes_from_radioactive_decay/

Radioactive decay is a nuclear process that is important for the release of energy in the earth's core. In the case of the sun, the energy comes from nuclear fusion of hydrogen into helium.