Module 5 : MODERN PHYSICS
Lecture 26 : Wave Nature of Particle - the de Broglie Hypothesis
  Wave Nature of Particle - the de Broglie Hypothesis
  In experiments like photoelectric effect and Compton effect, radiation behaves like particles. de Broglie, a french physicist asked whether in some situations, the reverse could be true, i.e., would objects which are generally regarded as particles (e.g. electrons) behave like waves ? In 1924 de Broglie postulated that we can associate a wave with every material object. In analogy with photons, he proposed that the wavelength $ \lambda$ associated with such a matter wave is related to the particle momentum $ p$ through the relationship
 
$\displaystyle \lambda = \frac{h}{p}$
  where $ h$ is the Planck's constant
  Example 13
Exercise 1
 

Exercise 2

  Example 14
  Exercise 3
  Wavelike behaviour of a macroscopic object is difficult to detect as the wavelength is very small.
  However, wave nature of particles may be detected in diffraction experiments where the dimensions of the obstacles are comparable with the wavelength of matter wave incident on the obstacle.
   
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