Question

Plz explain about the dual nature of the particle.

Answer 1

The particle can behave like a particle, and also like a wave.
In our everyday life we cannot notive it's wave behaviour. It only noticable when the dimension are in order of about 10^-10. Like electron.

Answer 2

\[ \lambda = \frac{h}{p}\]
The wavelength of a particle is inversely proportional to the particle's momentum.
h is Planck's constant.

Answer 3

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.

Answer 4

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)

Answer 5

Bohr didn't contradict de Broglie, because Bohr came up with his model before de Broglie, plus the energy levels of the Bohr atom can be depicted as standing waves of the electron.