Question

explain dual nature of electrons

Answer 1

Dual Nature of Electron. (1) In 1924, the French physicist, Louis de Broglie suggested that if light has electron, behaves both as a material particle and as a wave. (2) This presented a new wave mechanical theory of matter. According to this theory, small particles like electrons when in motion possess wave properties ...

Answer 2

In 1905, it was Einstein who suggested the concept of light having a wave-particle duality. In a similar way, Louise de Broglie suggested that electron also exhibits a dual nature. 

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

De 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.