Question

name the two phenomenon that indicates the dual nature of electrons
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Answer 1

Explanation:

In 1924, Louis de Broglie, the French physicist suggested that just like light shows wave and particle properties, microscopic material particles like electrons, protons, atoms and molecules also possess a dual nature. They behave as a wave as well as a particle.

The mathematical expression to show the wave nature of electron along with particle nature:

λ =h/mν

λ is the wavelength of electron

m is mass of an electron

ν is the frequency

Two examples to support the wave nature of electrons are the discrete atomic energy levels and the diffraction of electrons from crystal planes in solid materials. The quantum mechanical 'particle in a box' uses the wave nature of electrons. The outcome of this calculation is used to portray the density of energy states for electrons present in solids