Consider a particle of mass , charge . Let it be accelerated through a potential difference to gain speed and Kinetic energy KE.
Now, we can rearrange the expression to get
The de-Broglie wavelength is given by the equation:
Substituting the value of , we get
This analogous to the equation of a straight line passing through the origin: where is the slope of the line.
Hence, we can see that if we plot the graph of vs , we would get a straight line with slope:
Hence, as we know , and we can determine S from the graph, we can calculate the magnitude of charge on the particle.
The graph is drawn below:
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