Detailed Solution:
The correct answer is “Nuclear energy”.
Nuclear energy is not ultimately derived from the Sun's energy. While it's true that the Sun's heat and pressure are responsible for the creation of elements like uranium and thorium, the energy released in nuclear reactions comes from the splitting of atomic nuclei, a process that is independent of ongoing solar radiation.
Biomass energy: This is derived from organic materials (like plants and animal waste) that photosynthesize and store solar energy. Therefore, biomass energy ultimately comes from the sun.
Wind energy: Wind is generated by the uneven heating of the Earth's surface by the sun, causing air movement. Thus, wind energy is also indirectly derived from solar energy.
Geothermal energy: This energy comes from the heat stored within the Earth, which is not derived from solar energy but rather from the planet's internal heat. However, some geothermal processes can be influenced by solar energy in certain contexts (like the warming of the Earth's surface), but it primarily comes from the Earth's own geothermal processes.