Monday, 4 August 2014

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DUAL NATURE OF MATTER : DE BROGLIE WAVELENGTH

Definition

The dual characteristics property of matter is called dual nature of light .

The phenomena like interference , diffraction  and polarisation of light were experimentally known and indicate that light is of wave nature . On the other hand  ,photoelectric effect and Compton effect illustrate the particle nature  , i.e. electromagnetic radiation or light is of particle nature .

de - Broglie hypothesis -

According to de -Broglie hypothesis , the dual nature should not confined to radiation but should also be exhibited by all moving particles like electrons ,protons , atoms and molecules etc .

The wave associated with these particles are known as matter waves or de -Broglie waves whose wavelength is given by -
           
             

             λ= h/p =h/mv

where m is mass of particles 
          v is the velocity of the particle
         h is Planck's constant 
         p is the momentum of particle 
          λ  is the wavelength of the wave
This is the de -Broglie 's relation
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