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Answer
The nuclei ( {}^{2}_1H ) (Deuterium) and ( {}^{12}6C ) (Carbon-12) are stable, but ( {}^{238}{92}U ) (Uranium-238) is radioactive. Therefore, this set contains unstable nuclei.
Step 2
Part (B) Check Stability
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Answer
The nuclei ( {}^{16}_8O ) (Oxygen-16) and ( {}^{12}6C ) (Carbon-12) are stable, while ( {}^{39}{19}K ) (Potassium-39) is also stable. Thus, this set contains only stable nuclei.
Step 3
Part (C) Check Stability
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Answer
In this set, ( {}^{65}_{30}Zn ) (Zinc-65) is radioactive, while ( {}^{18}8O ) (Oxygen-18) and ( {}^{24}{12}Mg ) (Magnesium-24) are stable. Therefore, this set is not composed solely of stable nuclei.
Step 4
Part (D) Check Stability
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Answer
The nuclei ( {}^{14}_{6}C ) (Carbon-14) is radioactive, while ( {}^{16}_8O ) (Oxygen-16) and ( {}^1H ) (Hydrogen-1) are stable. Thus, this set contains unstable nuclei.