Unit 11 • Competency 11.1 – 11.7
8 lessons•0 of 8 lessons completed

Matter and Radiation

Quantum nature of radiation, photoelectric effect, Einstein’s equation, line spectra, X-rays, wave-particle duality, and nuclear physics basics.

Matter and Radiation — Lessons (8)

Lesson 11.1• Competency 11.1

Black-Body Radiation and Quantum Theory

Black-body radiation curves, Wien’s displacement law λ_max T = b, Stefan-Boltzmann law E = σT⁴, classical failure (ultraviolet catastrophe), and Planck’s quantum hypothesis E = nhf.

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Lesson 11.2• Competency 11.2Interactive Simulation

Photoelectric Effect and the Photon

Master Planck’s quantum hypothesis E = hf, the failure of classical wave theory, Einstein’s photoelectric equation hf = Φ + ½mv_max², threshold frequency f₀, work function Φ, stopping potential V_s, and photocurrent-voltage characteristics.

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Lesson 11.3• Competency 11.3

Wave-Particle Duality and X-Rays

Explore de Broglie matter waves (λ = h/p = h/√(2mqV)), electron diffraction evidence, Coolidge tube generation of X-rays, continuous Bremsstrahlung spectrum with Duane-Hunt cutoff (λ_min = hc/eV), and characteristic X-ray emission lines.

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Lesson 11.4• Competency 11.4

Atomic Models and Line Emission Spectra

Study Rutherford’s nuclear model, Bohr’s postulates for hydrogen, angular momentum quantization mvr = nh/(2π), energy levels E_n = -13.6/n² eV, Rydberg formula 1/λ = R_H (1/n₁² - 1/n₂²), and spectral series (Lyman, Balmer, Paschen).

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Lesson 11.5• Competency 11.5

Radioactivity and Nuclear Reactions

Master nuclear composition (A, Z, N), nuclear radius R = R₀ A^(1/3), constant nuclear density, mass defect Δm, binding energy per nucleon curve, radioactive decay law N = N₀ e^(-λt), half-life T_½ = ln 2 / λ, activity A = λN, and fission/fusion energy release.

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Lesson 11.6• Competency 11.6

Nuclear Energy: Mass Defect, Binding Energy, Fission and Fusion

Einstein’s mass-energy equivalence E = mc², atomic mass unit u, mass defect Δm, binding energy per nucleon curve, nuclear stability, nuclear fission chain reactions, and thermonuclear fusion.

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Lesson 11.7• Competency 11.7

Fundamental Particles and Interactions

The Standard Model of particle physics: Quarks (u, d, c, s, t, b), fractional charges, Leptons (e, μ, τ and neutrinos), Gauge Bosons (photon, gluon, W/Z), Hadrons (Baryons and Mesons), and the four fundamental forces of nature.

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Lesson 11.8• Competencies 11.1–11.7Interactive Simulation

Unit 11 Summative Assessment: Matter & Radiation

Comprehensive 20-question examination testing all 7 competencies in Unit 11 (Black-body radiation, photoelectric effect, de Broglie matter waves, X-rays, radioactive decay, nuclear energy, and Standard Model fundamental particles) with instant competency diagnostic feedback.

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