Question

Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum (photon).

Answer 1

The momentum of an electromagnetic wave of frequency V, wavelength λ is given by
p = hv /c = h / λ
or
λ = h/p
de broglie wavelength of proton, λ = h/p
h/p = h/ (hv/c) = c/v
Thus, wavelength of electromagnetic radiation is equal to the de-Broglie wavelength.

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