Chapter 08WBCHSE BoardClass XIIPhysics
Dual Nature of Radiation & Matter
পদার্থ ও বিকিরণের দ্বৈত সত্তা
Photoelectric effect experimental observations, Einstein's photoelectric equation, threshold frequency, work function, de Broglie matter wave hypothesis, and Davisson-Germer experiment.
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Syllabus Reference Module
Target Learning Objectives
- Explain experimental characteristics of the photoelectric effect (stopping potential, saturation current).
- Derive Einstein's photoelectric equation: K_max = hν - Φ0 = e V0.
- Calculate de Broglie wavelength for electrons and macroscopic particles: λ = h / p.
- Analyze matter wave evidence establishing wave-particle duality.
Governing Physical Concepts
- Work Function (Φ0) & Threshold Frequency (ν0)
- Einstein's Photoelectric Equation: hν = Φ0 + 1/2 m v_max^2
- Stopping Potential (e V_s = hν - Φ0)
- de Broglie Hypothesis (λ = h / p = h / sqrt(2mE))
- de Broglie Wavelength of Electron (λ ≈ 1.227 / sqrt(V) nm)
Structured Concept Hierarchy
Chapter Topics & Breakdown
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Academic Library
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Quick Revision Summary
“Photoelectric emission is instantaneous; maximum kinetic energy depends on photon frequency, not light intensity.”
- •Light intensity determines the rate of emitted photoelectrons (saturation current).
- •The slope of stopping potential vs frequency graph is universal: h/e.
- •Photon rest mass is zero; momentum of photon is p = h/λ.
Structured Practice Roadmap
Standard board graph problems on stopping potential vs frequency and de Broglie calculations.
Problem Bank Volume:20 Selected Problems
Problem Categories:
Einstein Photoelectric Equationde Broglie WavelengthStopping Potential Graphs
Board Diagnostic 08: Dual Nature
Assessment Architecture • Academic Evaluation SpecificationSectional examination covering photon theory and matter waves.
FormatWritten Board Paper
Duration45 Minutes
Coverage16 Questions
* Note: Written assessments are administered and reviewed directly by faculty. Digital diagnostic assessment engines are scheduled for subsequent platform phases.