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Chapter Notes
Download our free, comprehensive PDF notes for Dual Nature of Radiation and Matter. These notes are perfectly aligned with the latest NCERT syllabus and include detailed explanations of all crucial topics.
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Key Concepts
- Photoelectric effect: laws and Einstein's equation
- Threshold properties: Threshold frequency and work function
- De Broglie hypothesis: matter waves
- Davisson-Germer experiment: (electron diffraction)
- Heisenberg's principle: uncertainty principle
Important Formulas
Photon energy: E = hf (h = 6.63×10⁻³⁴ J·s)
Einstein's equation: KE_max = hf − φ (φ = work function)
de Broglie wavelength: λ = h/mv = h/p
Stopping potential: eV₀ = hf − φ
Uncertainty principle: ΔxΔp ≥ h/4π
Solved Numerical Examples
Example 1
Question: Light of f = 6×10¹⁴ Hz falls on metal with φ = 2.0 eV. Find KE_max.
Solution: KE_max = hf − φ = 6.63×10⁻³⁴×6×10¹⁴ / 1.6×10⁻¹⁹ − 2.0 = 2.49 − 2.0 = 0.49 eV
Example 2
Question: Electron with KE = 100 eV. Find de Broglie wavelength.
Solution: λ = h/√(2mKE) = 6.63×10⁻³⁴/√(2×9.1×10⁻³¹×100×1.6×10⁻¹⁹) = 1.23 Å
DPP (Daily Practice Problems)
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MCQs
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Previous Year Questions (PYQs)
Analyze the exam pattern and test your readiness with Previous Year Questions from CBSE boards, JEE Main, and NEET. Solve PYQs here.
Common Mistakes to Avoid
- Forgetting to convert units to the standard SI system before calculation.
- Misinterpreting the direction of vector quantities in complex problems.
- Skipping the foundational derivations, which are crucial for conceptual clarity.
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