🔄 DUAL NATURE OF RADIATION & MATTER · Quantum Physics
Photoelectric effect • Einstein's equation • de Broglie waves • Davisson‑Germer • NEET problems
⚡ PHOTOELECTRIC EFFECT
Emission of electrons from a metal surface when light of sufficient frequency falls on it.
Key observations:
• Instantaneous emission (no time lag)
• Existence of threshold frequency (ν₀)
• Kinetic energy ∝ frequency (not intensity)
• Photocurrent ∝ intensity (for ν > ν₀)
📐 Experimental setup
📜 EINSTEIN'S PHOTOELECTRIC EQUATION
E = hν = φ + Kmax
Work function: φ = hν₀ (minimum energy to eject electron).
Maximum KE: Kmax = hν – φ = eVs (stopping potential).
Stopping potential Vs = (h/e)ν – (φ/e).
📈 Photoelectric effect graph (Kmax vs ν)
💡 PHOTON – PARTICLE OF LIGHT
Energy: E = hν = hc/λ
Momentum: p = h/λ = E/c
Mass (relativistic) = hν/c² (zero rest mass).
🌊 de BROGLIE WAVELENGTH
Matter waves: λ = h/p = h/(mv) (for non‑relativistic).
For electron accelerated through V volts: λ = h/√(2meV) = 12.27/√V Å.
For any particle: λ = h/√(2mK) (K = kinetic energy).
🖍️ Electron wave nature – Davisson‑Germer experiment
🔬 DAVISSON‑GERMER EXPERIMENT
First experimental proof of wave nature of electrons. Diffraction pattern observed from nickel crystal.
Bragg's law: nλ = 2d sinθ (d = crystal spacing).
Confirmed de Broglie wavelength for electrons.
🎲 HEISENBERG'S UNCERTAINTY PRINCIPLE
Δx · Δp ≥ h/4π (position‑momentum). Also ΔE · Δt ≥ h/4π (energy‑time).
Simultaneous precise measurement of conjugate variables impossible.
💡 NEET TIPS & SHORTCUTS
- Threshold frequency ν₀ = φ/h; work function φ = hν₀.
- Stopping potential Vs ∝ ν, independent of intensity.
- de Broglie wavelength λ ∝ 1/√V for electrons.
- For same kinetic energy, lighter particle has longer λ.
⚠️ COMMON MISTAKES
- Confusing work function with threshold frequency.
- Using λ = h/(mv) for relativistic particles without correction.
- Assuming photocurrent depends on frequency (it depends on intensity).
- Forgetting that de Broglie waves are probability waves, not physical waves.
📌 QUICK REVISION CARD
Einstein equation: hν = φ + Kmax
Stopping potential: eVs = Kmax
Work function: φ = hν₀
Photon momentum: p = h/λ
de Broglie wavelength: λ = h/p
Electron wavelength (V volts): λ = 12.27/√V Å
Uncertainty principle: Δx·Δp ≥ h/4π
🌟 DUAL NATURE OF RADIATION & MATTER • NEET REVISION NOTES
📸 NOTES PREVIEW
Preview of Dual Nature Notes
📥 DOWNLOAD DUAL NATURE NOTES PDF
Download Dual Nature of Radiation and Matter Revision Notes for NEET Physics PDF for quick revision and strong conceptual clarity. This chapter is one of the most important and scoring topics in Modern Physics for NEET.
These Dual Nature handwritten notes PDF free download include photoelectric effect, Einstein’s equation, de Broglie wavelength, wave-particle duality, and all important formulas, tricks, and PYQ-based concepts.
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- Concept-based + formula-based questions
- Einstein’s equation is very important
- Easy and high scoring chapter
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📊 WEIGHTAGE ANALYSIS
1–2 Questions
Photoelectric effect + wavelength
High Weightage
Theory + numericals