Dual Behaviour of Matter and Heisenberg’s Uncertainty Principle

Dual Behaviour of Matter

=>  Explain by de Broglie (1924)
=>  He explain that matter also behave like radiation and exhibit dual behavior means both like particle and wave like properties .
=> Relation
dual behavior of matter

   Where  l =  wavelength.

             m = mass of particle ,
             v = velocity of particle,
              p = momentum

Heisenberg’s Uncertainty Principle

 Given by Werner Heisenberg (1927)
He explain that it is impossible to determine simultaneously the exact positive and exact momentum (or velocity) of an electron
Mathematical explanation
Heisenberg uncertainty principle

                                     

     Where,  Dx= uncertainty  in position
                   

                   DVx  = uncertainty in velocity or momentum

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