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Question -

Showthat the wavelength of electromagnetic radiation is equal to the de Brogliewavelength of its quantum (photon).



Answer -

The momentum of a photon having energy ()is given as:

Where,

λ = Wavelength of theelectromagnetic radiation

c = Speed of light

h = Planck’s constant

De Broglie wavelength ofthe photon is given as:

Where,

m = Mass of the photon

v = Velocity of the photon

Hence,it can be inferred from equations (i) and (ii) that thewavelength of the electromagnetic radiation is equal to the de Brogliewavelength of the photon.

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