Dual Nature of Radiation and Matter
NCERT Class 12 Physics Chapter 11
Dual Nature of Radiation and Matter for Class 12 Physics, JEE and NEET: the photoelectric effect, Einstein’s equation, photons and de Broglie waves.
7 topics Updated 8 Nov 2026
In the syllabus: JEE Class 12 syllabus, NEET Class 12 syllabus
With your textbook
NCERT Physics Part II (Class 12), Chapter 11 “Dual Nature of Radiation and Matter”, reprint 2026-27.
Open the official NCERT chapter (PDF, 1.8 MB, ncert.nic.in) (opens in a new tab)
Checked on 19 Oct 2026.
Learn in this order
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Electron emission and work function
Work function, electron volt to joule, thermionic, field and photoelectric emission, with solved examples.
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Photoelectric effect: Hertz, Hallwachs and Lenard
Hertz’s discovery, Hallwachs’ and Lenard’s observations, photoelectrons and the threshold frequency.
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Experimental study of the photoelectric effect
The photoelectric experiment, its four laws, Kmax = eV0 and the graphs.
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Photoelectric effect and the wave theory of light
Why the wave theory fails to explain the threshold, a fixed Kmax and instant emission.
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Einstein’s photoelectric equation
Kmax = hν − φ0, threshold frequency and wavelength, the V0–ν graph and solved examples.
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The photon: particle nature of light
Particle nature of light, energy E = hν = hc/λ, momentum p = h/λ, properties, photons per second and solved examples.
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Wave nature of matter: de Broglie wavelength
The de Broglie relation λ = h/p, λ = h/√(2mK), electrons through V volts, and why balls show no waves.
Key formulas in this chapter
Electron emission
- 1 eV = 1.602 × 10−19 J
- energy gained = e × V
- m = e/(e/m)
Photoelectric effect
- n = I/e (electrons per second)
- ν = c/λ
Experimental study of the photoelectric effect
- Kmax = eV0
- photocurrent ∝ intensity
Photoelectric effect and the wave theory
- time ≈ energy needed / power per electron
- E = hν (one quantum)
Einstein’s photoelectric equation
- E = hν
- Kmax = hν − φ0
- ν0 = φ0/h
- λ0 = hc/φ0
- Kmax = eV0
- V0 = (h/e)ν − φ0/e
Photon
- E = hν = hc/λ
- p = h/λ
- N = P/E
Wave nature of matter
- λ = h/p ≈ h/mv (v ≪ c)
- λ = c/ν (photon)
- λ = h/√(2mK)
- λ = h/√(2mqV)
- λ ≈ 1.227/√V nm (electron)
- λrms = h/√(3m kB T)
More in Physics
- Units and Measurement
- Motion in a Straight Line
- Motion in a Plane
- Laws of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of Matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charges and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Waves
- Ray Optics and Optical Instruments
- Wave Optics
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits