“Modern Physics: Photoelectric Effect”

🟢 Lite — Quick Review (1h–1d)

Rapid summary for last-minute revision before your exam.

Modern Physics — Key Facts Photoelectric effect: E = hf - φ; KE_max = hf - φ (Einstein’s equation); stopping potential V_s = (hf - φ)/e de Broglie: λ = h/p = h/(mv); dual nature of matter — particles have wave properties Bohr model: r_n = n²h²/(4π²mkZe²); E_n = -13.6Z²/n² eV; hydrogen spectrum: 1/λ = R(1/n₁² - 1/n₂²) Radioactivity: α (⁴He nucleus, He⁺), β (electron/positron), γ (high-energy photon); decay law N = N₀e^(-λt) ⚡ Exam tip: In photoelectric effect, increasing intensity increases photoelectrons but NOT their energy

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🟡 Standard — Regular Study (2d–2mo)

Standard content for students with a few days to months.

Modern Physics — NEET/JEE Study Guide Matter waves: λ = h/(mv); for thermal electrons at room T, λ ≈ 1.2 nm; for electron in Bohr orbit n=1, λ = 2πa₀ Bohr model extensions: angular momentum quantisation L = mvr = n(h/2π); correspondence principle (quantum → classical at large n) Radioactive decay: activity A = λN = A₀e^(-λt); half-life t_½ = ln2/λ; mean life τ = 1/λ Nuclear fission: U-235 + n → Ba-141 + Kr-92 + 3n + energy (~200 MeV); chain reaction requires critical mass Mass defect and binding energy: ΔE = Δmc²; binding energy per nucleon curve — iron peak (~8.8 MeV/nucleon)

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🔴 Extended — Deep Study (3mo+)

Comprehensive coverage for students on a longer study timeline.

Modern Physics — Comprehensive Notes Photoelectric detailed: work function for different metals; cutoff frequency f₀ = φ/h; Einstein’s explanation verified by Millikan’s experiments de Broglie derivation: p = h/λ from Einstein-de Broglie relation; Davisson-Germer experiment confirmed electron diffraction Bohr model limitations: cannot explain fine structure (relativistic corrections), Zeeman effect (magnetic field splitting), Stark effect Quantum mechanics intro: Schrödinger equation iħ∂ψ/∂t = Ĥψ; particle in 1D box: E_n = n²h²/(8mL²) X-ray production: bremsstrahlung (continuous, min wavelength λ_min = hc/eV); characteristic lines (sharp Kα, Kβ when electrons knock K-shell electrons) Nuclear fusion: D-T reaction D + T → He-4 + n + 17.6 MeV; sun’s energy from pp-chain; tokamak (ITER) for controlled fusion

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📊 JAMB Exam Essentials

Detail	Value
Questions	180 MCQs (UTME)
Subjects	4 subjects (language + 3 for course)
Time	2 hours
Marking	+1 per correct answer
Score	400 max (used for university admission)
Registration	January – February each year

🎯 High-Yield Topics for JAMB

• Use of English (Grammar + Comprehension) — 60 marks
• Biology for Science students — 40 marks
• Chemistry (Organic + Physical) — 40 marks
• Physics (Mechanics + Optics) — 35 marks
• Mathematics (Algebra + Geometry) — 40 marks

📝 Previous Year Question Patterns

• Q: “The process of photosynthesis requires…” [2024 Biology]
• Q: “The electronic configuration of Fe is…” [2024 Chemistry]
• Q: “Find the value of x if 2x + 5 = 15…” [2024 Mathematics]

💡 Pro Tips

• Use of English carries the most weight — master grammar rules and comprehension strategies
• JAMB syllabus is your Bible — questions come directly from it. Download and use it.
• Past questions are highly predictive — repeat patterns appear every year
• For Science students, Biology and Chemistry are high-scoring if you study NCERT-level content

🔗 Official Resources

• JAMB Official
• JAMB Syllabus

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