(a) Write the expressions for the energy and the momentum of a photon in terms of its…

PHYSICS · Subjective · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

(a) Write the expressions for the energy EE and the momentum pp of a photon in terms of its frequency ff and wavelength λ\lambda. (b) Using these expressions, obtain the relation between the energy and momentum of a photon. (c) By extending the argument used for photons to material particles, prove that the wavelength associated with a particle of linear momentum pp is given by λ=hp\lambda = \dfrac{h}{p}. (d) From the final expression, state any TWO conclusions regarding how the wavelength of a material particle varies with (i) its mass and (ii) its speed.

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