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Nuclear Fusion is common to the pair
A. Thermonuclear reactor, uranium based nuclear reactor
B. Energy production in sun, uranium based nuclear reactor.
C. Energy production in sun, hydrogen bomb.
D. Disintegration of heavy nuclei, hydrogen bomb

Answer
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Hint: In the nuclear fusion process two lighter atomic nuclei combine to form heavier nuclei and in the process release massive amounts of energy, it occurs naturally in stars.

Complete step by step solution:
Based on their reaction mechanism, a nuclear reaction is divided into two types Fission and Fusion reaction, in a fusion reaction, two or more lighter nuclei combine to form a heavier nucleus whereas in a Fission reaction heavy nuclei split into two lighter nuclei.

To find common pair for nuclear fusion reactions we need to analyze the different processes given in the options.

Thermonuclear reactor: Two light atomic nuclei are joined together and these small amounts of masses are converted into a large amount of energy i.e. Fusion reaction
Uranium-based Nuclear reactor: Energy is produced by controlled Fission reaction and uranium is used as nuclear fuel.

Energy production in sun: One of the best examples of naturally occurring Fusion reactions.

Hydrogen Bomb: Isotopes of hydrogen combine under extremely high-temperature conditions to form helium which results in enormous explosive power i.e. Fusion reaction

The disintegration of Heavy nuclei: Disintegration stands for breaking down, during the disintegration process heavy nuclei break down into lighter ones and release energy in the process, i.e. Fission reaction

Energy production in Sun and Hydrogen bomb is the common pair for Fusion reaction.

Therefore, option C is the correct option.

Note: Nuclear reactors used at power plants operate on both the Fission and Fusion reaction model, in Fusion reactors Uranium and its product plutonium is used as fuel while Neutrons are responsible Fission process.