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# Explain de Broglie wave theory

Solution

## Matter-wave or a de Broglie waveLouis de Broglie, a French physicist, in 1924, suggested that all microscopic, as well asmacroscopic objects, possess dual character. The wave associated with the particle iscalled a matter-wave or a de Broglie wave.The wavelength of the wave associated with any material particle was calculated as:In the case of a photon, if it is assumed to have a wave character, its energy is given byE=hνwhere ν is the frequency of the wave and h is Planck’s Constant.If the photon is supposed to have particle character, its energy is given byE=mc2where m is the mass of the photon and c is the velocity of light.As the smaller particle exhibits dual nature, and energy being the same, de Broglie equated both these relations for the particle moving with velocity ‘v’ as,                                             hν=mv2hcλ=mv2⇒λ=hmv                 This equation relating the momentum of a particle with its wavelength is the de-Broglie equation and the wavelength calculated using this relation is the de-Broglie wavelength.  Suggest corrections   