Practice question
Question
The binding energy of a nucleus is \( 240 \, \text{MeV} \) and its mass number is 30. What is the
binding energy per nucleon?
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. Ebₙ = (E_b/A) . E_b = 240 MeV , A = 30 . Ebₙ = (240/30) = 8 MeV . 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 8.0 MeV, consistent with Bohr model and nuclear binding energy systematics.
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