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⚛️ Physics  ·  Nuclei  ·  NEET & JEE

In nuclear reactions using liquid drop model, fission occurs when:

Answer: Electrostatic energy exceeds surface energy (fissility parameter x > 1 approx).

  • A A < 50, a mass number range where stable light nuclei are common
  • B Electrostatic energy exceeds surface energy (fissility parameter x > 1 approx)
  • C A = 56, the mass number of the most stable nucleus, iron-56
  • D Temperature exceeds 10⁹ K, a condition relevant to stellar fusion instead

Correct answer: B. Electrostatic energy exceeds surface energy (fissility parameter x > 1 approx)

Explanation: Liquid drop: fission favorable when deformation energy cost (surface) < energy gain (Coulomb reduction). Fissility x = E<sub>C</sub>/(2E<sub>S</sub>) > 1 means spontaneous fission possible.

Binding Energy per Nucleon vs Mass NumberMass number ABE/nucleonFe-56 (peak, most stable)FUSION region (light → medium)FISSION region (heavy → medium)Both processes release energy by moving nuclei toward the Fe-56 peak

Binding energy per nucleon rises sharply for light nuclei, peaks around iron-56 (the most stable nucleus), then slowly declines for heavier nuclei - which is exactly why fusing light nuclei or splitting heavy nuclei both release energy: each moves the products toward this stability peak.

Concept context

Radioactivity, nuclear reactions, fission, fusion, and binding energy.

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