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⚛️ Physics  ·  Nuclei  ·  NEET & JEE

The Breit-Wigner resonance formula describes nuclear cross-section as a function of energy near:

Answer: A resonance energy (sharp peak in cross-section).

  • A Mainly the reaction threshold energy, with little peak elsewhere
  • B A resonance energy (sharp peak in cross-section)
  • C All energies uniformly, with a perfectly flat cross-section curve
  • D Mainly thermal neutron energies, with little dependence elsewhere

Correct answer: B. A resonance energy (sharp peak in cross-section)

Explanation: Breit-Wigner formula: sigma(E) = sigma_max × Gamma²/4 / [(E-E<sub>R</sub>)² + Gamma²/4] near resonance energy E<sub>R</sub>. Gamma is the width.

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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