A Level Nuclear Physics Hub

A Level Nuclear Physics hub covering nuclear structure, radioactive decay, beta decay, mass–energy, binding energy, fission, fusion and radiation hazards.

  • GCE A-Level H2 Physics 2027
Learning goals
  • Interpret nuclear structure, isotopes and Rutherford scattering.
  • Analyse random radioactive decay, activity, decay constant and half-life.
  • Relate binding energy per nucleon to fission, fusion, applications and hazards.
  • Apply conservation laws to nuclear equations and beta decay, including antineutrino evidence.
  • Use mass-energy equivalence, mass defect and binding energy.

Nuclear Physics connects evidence about the nucleus to two quantitative models: random radioactive decay for populations and mass–energy accounting for bound systems and reactions.

Start here

Prerequisites: O-Level Radioactivity, Quantum Physics, conservation laws, exponential functions and graph gradients.

Route: scattering evidence and nuclear structure → random decay and beta decay → mass–energy and binding → fission, fusion, uses and hazards.

After this hub: take the Nuclear Physics Quiz, then complete the Nuclear Physics Structured Set.

Lessons

Work through these lessons in order.

  1. Nuclear structure and nuclides
  2. Random decay, radiation, activity and half-life
  3. Applications and hazards
  4. Nuclear equations, conservation and beta decay
  5. Mass defect and binding energy
  6. Binding energy in fusion and fission
  7. The Alpha-particle Scattering Experiment

    Use the Rutherford alpha-particle scattering results to infer the nuclear atom: tiny, massive, positively charged nucleus and mostly empty space (A Level Physics).

  8. Simple Model Of The Atom

    Describe the nuclear atom model, define proton number Z and nucleon number A, and use nuclide notation for isotopes (A Level Physics).

  9. Atomic Mass

    Define the unified atomic mass unit u, convert between u and kg, and use atomic masses in nuclear calculations (A Level Physics).

  10. Random Nature of Radioactive Decay (Count Rate & Background Radiation)

    Explain why radioactive decay is random, interpret fluctuating count-rate data, and correct measurements for background radiation (A Level Physics).

  11. Activity, Half-life and Decay constant

    Define activity, decay constant and half-life, and solve problems using A=λN, N=N0 e^{-λt}, and t1/2 = ln2/λ (A Level Physics).

  12. Nuclear Reactions

    Write balanced nuclear equations and apply conservation of nucleon number, charge, and mass–energy to nuclear processes (A Level Physics).

  13. Neutrino In Beta Decay (Conservation of Energy & Momentum)

    Explain why beta particles have a continuous range of kinetic energies and how the antineutrino preserves energy and momentum in beta-minus decay.

  14. Mass-energy Relation

    Use E = mc^2 to link mass defect to energy release in nuclear reactions, and write exam-ready explanations of mass–energy conservation (A Level Physics).

  15. The Mass Defect

    Define mass defect and calculate Δm using nuclear or atomic masses; connect mass defect to binding energy via ΔE = Δm c^2 (A Level Physics).

  16. Binding Energy

    Define nuclear binding energy, relate it to mass defect using E_b = Δm c^2, and use it to compare nuclear stability (A Level Physics).

  17. Binding Energy Per Nucleon And Nuclear Stability

    Interpret the binding energy per nucleon curve, identify stable nuclei near iron, and relate the curve to energy release in fusion and fission (A Level Physics).

  18. Nuclear Fission

    Explain nuclear fission and why it releases energy using the binding energy per nucleon curve; write nuclear equations and common exam explanations (A Level Physics).

  19. Nuclear Fusion

    Explain nuclear fusion and why it releases energy for light nuclei using the binding energy per nucleon curve; describe the Coulomb barrier and conditions needed (A Level Physics).

  20. Effects of Radiation on Living Organism

    Discuss hazards and applications of radioactivity using half-life, penetration, and ionisation: compare alpha, beta, and gamma and choose suitable shielding (A Level Physics).

  21. Geiger-Muller Tube/Counter · Supporting

    Understand how a Geiger–Müller tube detects ionising radiation and why it produces count-rate data with dead time and quenching (optional enrichment for A Level Physics).

  22. Safety Precautions Around Radioactive Sources · Supporting

    Supplementary radioactive-source safety covering time, distance, suitable shielding, contamination control, monitoring and authorised disposal.

Revision

Scattering evidence checkpoint
Rutherford scattering observations and inferencesA beam of alpha particles crosses a thin foil. Most paths remain nearly straight, while a few bend through large angles near a small positive nucleus.α sourcethin metal foil+most: little deflectionrare: large-angle scatteringatom mostlyempty spacetiny nucleus:positiveand massive
Scroll diagram horizontally to read all labels.
Most alpha particles pass through with little deflection, but rare large-angle events require a tiny region containing concentrated positive charge and most of the atom’s mass.

Write scattering explanations as observation → inference. Do not claim that every alpha particle passes close to the nucleus; large deflections are rare because the nucleus occupies a tiny fraction of the atom.

Radioactive decay checkpoint
Random individual decays and predictable population half-lifeThree groups contain sixteen, eight and four undecayed nuclei at zero, one and two half-lives, illustrating statistical decay of a large population.t = 0N/N₀ = 16/16t = t½N/N₀ = 8/16t = 2t½N/N₀ = 4/16which nucleus?unpredictablepopulation trend?predictable
Scroll diagram horizontally to read all labels.
Individual decay times are random, but a large population follows a predictable exponential law: the expected number remaining halves after each half-life.
QuantityRelationshipInterpretation
Number undecayedN = N₀e^(-λ t)expected population, not a schedule for one nucleus
ActivityA = λ N = -dN/dtsource decays per second; unit Bq
Half-lifet_(1/2) = ln 2/λsame time unit as 1/λ
Net count ratemeasured rate − background ratedetector result, not total source activity
Mass–energy method
  1. State whether the supplied values are atomic masses or nuclear masses; do not mix the two methods.
  2. Find the mass difference using one consistent set of constituents.
  3. Use E = Δ mc² in SI, or 1 u c² = 931.5 MeV when working in atomic mass units.
  4. For a reaction, Q = (m_reactants-m_products)c²; positive Q means energy is released.
  5. For stability comparisons, calculate binding energy per nucleon, not merely total binding energy.
Binding-energy curve checkpoint
Binding energy per nucleon curveBinding energy per nucleon rises steeply for light nuclei, reaches a broad maximum near iron and nickel, then decreases slowly for heavy nuclei. Arrows show fusion and fission moving toward the maximum.Nucleon number, ABinding energy per nucleonFe / Ni regionlightheavyfusionfissionproducts more tightly bound on average
Scroll diagram horizontally to read all labels.
Fusion of light nuclei and fission of very heavy nuclei can move products toward greater binding energy per nucleon. The increase in total binding energy is released.

“Mass is lost” is incomplete. State that the products have greater total binding energy and lower total rest mass, so the mass–energy difference appears mainly as kinetic energy and radiation.

Exam traps
  1. Half-life is statistical. It does not predict when a named nucleus will decay.
  2. Activity and count rate differ. Detector geometry and efficiency mean a detector normally records only a fraction of all decays.
  3. Background is subtracted before analysis. Otherwise late-time half-life estimates are biased.
  4. Atomic and nuclear masses require different bookkeeping. Electron masses must cancel consistently.
  5. Mass defect is not missing matter. It is the lower mass–energy of the bound system.
  6. Greater total binding energy does not automatically mean greater stability. Compare binding energy per nucleon.
  7. A beta spectrum is continuous. The electron, antineutrino and daughter recoil share the available energy.

Practice

Quiz and structured practice
A Level Nuclear Physics QuizNuclear Physics Structured Set

Use the quiz to identify a weak outcome, then complete one decay-data question and one mass–energy question under timed conditions.

End of the A-Level topic sequence. Return to the A-Level Physics Portal.

Continue with the next resource in this course.

Course and syllabus information
Course
GCE A-Level H2 Physics
Edition
GCE A-Level H2 Physics 2027