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

Explanation

The momentum of a photon of frequency v , wavelength `lambda` is given by p = `(hv)/c= h/lambda`
` lambda = h/p` de Broglie wavelength of photon , ` lambda = h/(mv) = h/p = h/((hv)/v )= c/v`
Thus , the wavelength of electromagnetic radiation is equal to the de- Broglie wavelength .