Part of JPH-01 — Modern Physics: Photoelectric Effect & Matter Waves

Photon — The Quantum of Light

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A photon is a quantum of electromagnetic radiation carrying energy E = hf = hc/λ and momentum p = h/λ = E/c. It has zero rest mass but nonzero relativistic mass m = E/c2c^{2} = hf/c2c^{2}. The most useful JEE conversion: E(eV) = 1240/λ(nm). A source of power P at wavelength λ emits n = Pλ/(hc) photons per second. Radiation pressure on an absorbing surface is P_rad = I/c; on a perfectly reflecting surface it doubles to 2I/c. The intensity of light I = nhf/A, where n is the photon flux per unit area. Stefan's law (P = σAT4AT^{4}) and Wien's law (λ_max T = 2.898×1032.898 \times 10^{-3} m·K) describe black body radiation. The Compton effect (wavelength shift Δ\Deltaλ = (h/mc)(1-cosθ) upon X-ray scattering from electrons) provides direct evidence of photon momentum. Photons interact with matter in an all-or-nothing fashion — there is no partial absorption.

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