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(A) Statement-$1$ is true. Energy is released in nuclear fission of heavy nuclei and nuclear fusion of light nuclei because the binding energy per nuc

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Statement-$1$ is true,Statement-$2$ is false.

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(A) Statement-$1$ is true. Energy is released in nuclear fission of heavy nuclei and nuclear fusion of light nuclei because the binding energy per nucleon of the product nuclei is higher than that of the reactant nuclei,leading to a more stable configuration.Statement-$2$ is false. According to the binding energy per nucleon curve,for heavy nuclei (mass number $A > 170$),the binding energy per nucleon decreases as $Z$ increases. For light nuclei (mass number $A < 30$),the binding energy per nucleon generally increases as $Z$ increases. The statement provided in Statement-$2$ is the exact opposite of this physical reality.

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