Radioactivity, Nuclear Decay, and Nuclear Reactions
Atoms and Nuclei • Class 12 Physics • NCERT • CBSE
Radioactive decay law: N = N₀e^(−λt). Half-life T½ = 0.693/λ. Activity A = λN. Mass defect: Δm = (Zmp + Nmn) − M. Binding energy BE = Δm × 931.5 MeV.
Key Formulas
N = N₀ e^(−λt)T½ = 0.693/λActivity A = λNBE = Δm × 931.5 MeVR = R₀A^(1/3), R₀ = 1.2 fm
Frequently Asked Questions
- What is the difference between nuclear fission and fusion?
- Nuclear fission: A heavy nucleus (like U-235) splits into two medium-sized nuclei, releasing ~200 MeV per fission. Used in nuclear power plants and bombs. Produces radioactive waste. Nuclear fusion: Two light nuclei (like H-2 and H-3) combine to form a heavier nucleus, releasing ~17.6 MeV per fusion. Powers the Sun. Requires ~10 million°C. Much cleaner (less radioactive waste). Fusion releases more energy per unit mass but is harder to achieve on Earth.
- Why is binding energy per nucleon maximum for iron-56?
- Binding energy per nucleon (BE/A) represents nuclear stability. For very light nuclei (H, He), nuclear forces are weak and few — low stability. For very heavy nuclei (U, Th), electrostatic repulsion between many protons weakens the binding — lower BE/A. Iron-56 has the optimal balance of nuclear attractive force and minimal electrostatic repulsion, giving it the highest BE/A (~8.8 MeV). Any reaction moving nuclei toward iron releases energy.
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