discuss the dual nature of electron with respect to de brogie equation
Answers
Answer:
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 ...
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.
Answer:
De Broglie proposed that like light radiation, matter also exhibit particle nature and wave nature. ie, all material particles in motion possess wave character in addition to their particle nature
the wavelength λ=h/mv (mv-momentum of the particle)
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