In 1905, it was Einstein who suggested the concept of light having a dual nature; particle and wave nature. In a similar way, Louise de Broglie suggested that electron also exhibits a dual nature. Broglie also got Physics Noble Prize for his this theory.
Now, Bohr considered only the particle nature of electron and hence contradicted Broglie’s concept. Broglie also derived a mathematical expression to prove the wave nature of electron along with particle nature. He gave the following relation:-
λ =h/mν, where λ is the wavelength of electron, m is mass of an electron and ν is the frequency.
According to Einstein’s mass energy relation, E=mc2.
Broglie compared the above relation with the relation for energy of electron given by Bohr.
hν=mc2
as ν=c/λ
:- hc/λ=mc2
h=mc/λ or mν. (Hence proved)
