Dual Behavior of Matter, De Broglie equation,

From the various  experiments involving  the Interactions  of light and matter, Radiation has dual nature i.e it posses properties  of both wave and particles.  photo-Electric effect show that light behaves as particles. where as Young double slit experiment show that light behaves as waves.

On examination of Planck's and Einstein's  relationship,  L. de Broglie (1923) concluded  that the  energy is associated with both radiation and matter.

De Broglie Hypothesis:

A wave is  Associated with a moving material particles which controls a particles  in every respect


wavelength =  Planck's constant  / momentum 

Limitations:

From de Broglie equation, we may conclude that wave nature of matter will manifest only when mass (m) is very small compared to (h).


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