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Chapter 43 explores the structure of atomic nuclei, the forces that hold them together, and the processes of radioactivity, nuclear reactions, fission, and fusion. It introduces models of the nucleus, how decay occurs, how we measure nuclear stability and radiation, and how nuclear energy is harnessed in science and technology. ✅ Nuclear Properties and Structure 🔸 Nucleus contains protons (Z) and neutrons (N); total nucleons = A = Z + N 🔸 Nuclei are dense and spherical: R = R₀ × A^(1/3) 🔸 Nucleons have spin-½ and magnetic moments 🔸 Magnetic moment interactions are used in NMR and MRI 🔸 Isotopes: same Z, different N ✅ Nuclear Binding and Models 🔸 Binding energy (EB): energy needed to separate nucleus into nucleons 🔸 EB = mass defect × c² 🔸 EB per nucleon peaks around A = 60 → most stable nuclei 🔸 Nuclear force: short-range, attractive, charge-independent, saturating, spin-sensitive 🔸 Liquid-drop model: estimates EB using volume, surface, Coulomb, asymmetry, pairing terms 🔸 Shell model: explains magic numbers and stable configurations like doubly magic nuclei ✅ Radioactive Decay and Stability 🔸 Stable nuclei lie on Segrè chart; heavy nuclei (Z (greater than) 83) tend to decay 🔸 Types of decay: 🔸 Alpha decay: emits ⁴₂He; reduces A by 4, Z by 2 🔸 Beta-minus (β⁻): neutron → proton + electron + antineutrino; increases Z 🔸 Beta-plus (β⁺): proton → neutron + positron + neutrino; decreases Z 🔸 Electron capture: proton + orbital e⁻ → neutron + neutrino 🔸 Gamma decay: excited nucleus emits high-energy photon; no change in Z or N 🔸 Radioactive decay chains eventually reach a stable nucleus ✅ Decay Rates, Activity, and Half-Life 🔸 Activity: rate of decay, A = λN 🔸 N(t) = N₀ × e^(–λt) 🔸 Half-life: T₁/₂ = 0.693 / λ 🔸 Mean lifetime: τ = 1 / λ = 1.44 × T₁/₂ 🔸 Units: 🔸 Curie (Ci): 3.7 × 10¹⁰ decays/s 🔸 Becquerel (Bq): 1 decay/s 🔸 Radioactive dating uses known T₁/₂ to date archaeological/geological samples ✅ Biological Effects of Radiation 🔸 Radiation can ionize atoms, damage tissue, or cause mutations 🔸 Absorbed dose: energy deposited per mass → units: gray (Gy), rad 🔸 Equivalent dose: includes radiation type effect → sievert (Sv), rem 🔸 RBE or quality factor (QF) adjusts dose for biological impact 🔸 Common sources: cosmic rays, radon, medical imaging 🔸 Applications: cancer therapy, imaging (e.g., ⁶⁰Co, ⁹⁹Tc) ✅ Nuclear Reactions and Energy 🔸 Induced nuclear reactions change nucleus via bombardment 🔸 Conservation laws: mass-energy, charge, momentum, nucleon number 🔸 Reaction energy (Q): Q = (initial mass – final mass) × c² 🔸 Exoergic: Q (greater than) 0 (energy released); Endoergic: Q (less than) 0 (energy required) 🔸 Reactions include neutron capture, alpha bombardment, and Coulomb-barrier-overcoming collisions ✅ Nuclear Fission and Chain Reactions 🔸 Heavy nucleus splits → energy + fission fragments + free neutrons 🔸 Example: ²³⁵U + slow neutron → fission + 200 MeV + neutrons 🔸 Neutrons sustain chain reactions (controlled in reactors, uncontrolled in bombs) 🔸 Moderators slow neutrons (e.g., water, graphite) 🔸 Control rods absorb neutrons (e.g., cadmium, boron) 🔸 Fission products undergo beta decay toward stability ✅ Nuclear Fusion and Stellar Reactions 🔸 Light nuclei combine → more stable nucleus + energy 🔸 Fusion of hydrogen in stars: proton-proton chain → helium 🔸 Requires extremely high temperature and pressure to overcome Coulomb repulsion 🔸 Plasma: hot ionized gas where fusion occurs 🔸 Controlled fusion: 🔸 Magnetic confinement (tokamaks) 🔸 Inertial confinement (laser pulses) 🔸 Cold fusion and muon-catalyzed fusion under research, but not yet practical 📚 Glossary of Key Terms 🔸 Alpha, Beta, Gamma Decay – Common decay types 🔸 Half-Life – Time for half of a radioactive sample to decay 🔸 Binding Energy – Energy that holds nucleus together 🔸 Chain Reaction – Self-sustaining series of fissions 🔸 Fusion – Light nuclei combine; energy released 🔸 Fission – Heavy nucleus splits; large energy release 🔸 Moderator – Slows neutrons in reactors 🔸 Control Rod – Regulates fission by absorbing neutrons 🔸 Q Value – Net energy in a nuclear reaction 🔸 Sievert, Gray, Rem – Radiation dose units 🔸 Radioactive Dating – Dating materials using decay 🔸 Bremsstrahlung – Radiation from decelerating charged particles 🔸 Zeeman Effect – Splitting due to magnetic field 🔸 Magic Numbers – Numbers of nucleons giving extra nuclear stability 🔸 Coulomb Barrier – Electrostatic repulsion in nuclear reactions 🔸 Plasma – High-energy ionized gas in fusion reactors 🔸 Entanglement – Quantum link between distant particles University Physics Chapter 43 summary, nuclear binding energy and models, radioactive decay alpha beta gamma, half-life and activity equation, nuclear reactions Q value, controlled fission in reactors, nuclear fusion basics and confinement, biological effects of radiation, Young and Freedman nuclear physics, AP physics nuclear chapter 📘 Read full blog summaries for every chapter: https://lastminutelecture.blogspot.com/