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Question

What happens to the binding energy per nucleon when a heavy nucleus undergoes fission?

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Explanation

**Binding energy calculation** from mass defect, for nucleus mass number 28 BE 224 MeV BE/A=8 MeV, A=18 BE 144 MeV BE/A=8 MeV, BE/A indicates stability, fusion of light nuclei and fission of heavy release energy because product has higher BE/A, difference released. For heavy nuclei (A > 170), the binding energy per nucleon is lower (~7.6 MeV). Fission into intermediate mass fragments (A ≈ 120) increases it to ~8.5 MeV, releasing energy. Using E_n = -13.6/n² eV, r_n = n² a₀, L = n h/2π, R = R₀ A^¹/³, BE = Δm c² and 1 u = 931.5 MeV, evaluation yields Increases, consistent with Bohr

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