Module 5 : MODERN PHYSICS
Lecture 26 : Wave Nature of Particle - the de Broglie Hypothesis
  Example 14
What is the speed of an electron if its de Broglie wavelength equals its Compton wavelength ?
  Solution :
We need to use relativistic formula for momentum
 
$\displaystyle p = mv = \frac{m_0v}{\sqrt{1-\frac{v^2}{c^2}}}$
  where $ m_0$ is the rest mass of the electron. We have
 
  Solving, $ v= c/\sqrt 2$.
 

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