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The binding energy per nucleon for heavy nuclei (A > 170) decreases with increase in mass number. Explain its significance.

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Question

Draw a graph showing the variation of binding energy per nucleon as a function of mass number A. The binding energy per nucleon for heavy nuclei (A > 170) decreases with increase in mass number. Explain its significance.

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Solution

  1. Heavy nuclei are less tightly bound compared to mid-mass nuclei.
  2. The binding energy per nucleon decreases because the repulsive Coulomb force between protons becomes significant.
  3. This explains nuclear fission: heavy nuclei can split into smaller nuclei with higher binding energy per nucleon, releasing energy.
  4. It is the basis of nuclear reactors and atomic bombs.
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2025-2026 (March) 55/1/2
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