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Structure Of Atom

Question
CBSEENCH11005298

What do you understand by Dual nature of matter?
Or
What is de-Broglie relationship?

Solution

In 1905, Einstein suggested that lights has wave nature and particle nature(dual nature). In 1923, de-Broglie proposed that like light, matter (all materials particles)a lso has wave as well as particle nature(dual matter). He derived a relationship for calculation of the wavelength (A) of the wave associated with a particle of mass m, moving with a velocity v.
space straight lambda space equals space straight h over mv space where space straight h space is space Planck apostrophe straight s space constant space left parenthesis 6.62 space cross times space 10 to the power of negative 34 end exponent Js to the power of negative 1 end exponent right parenthesis.
  space space space space space space space or space space space space space straight lambda space equals space straight h over straight p space space space open square brackets because space space straight P left parenthesis momentum right parenthesis space equals space mv close square brackets
space space space space space space or space space space space space straight lambda space proportional to space 1 over momentum
The above relation is known as de-Broglie’s relation and states that the wavelength of the matter wave is inversely proportional to its momentum. In 1927, Davisson and Germer verified experimentally the wave nature of electron.