De Broglie wave length:
The momentum of photon of frequency v is given by
P= \(\frac{hv}{c}\) = \(\frac{h}{λ}\) since c= \(v\)λ
The wavelength of a photon in terms of its momentum is
λ =\(\frac{h}{p}\) ...... (1)
According to de Broglie, the above equation is completely a general one and this is applicable to material particles as well. Therefore, for a particle of mass m travelling with speed v , the wavelength is given by
λ = \(\frac{h}{mv}\) = \(\frac{h}{p}\) ....... (2)
This wavelength of the matter waves is known as de Broglie wavelength. This equation relates the wave character (the wave length λ) and the particle character (the momentum p) through Planck’s constant.
