Plot a graph showing variation of de Broglie wavelength ( ) assoc… - Vidyadip

Question

Plot a graph showing variation of de Broglie wavelength $(\lambda)$ associated with a charged particle of mass m, versus $\frac{1}{\sqrt{\text{V}}},$ where V is the potential difference through which the particle is accelerated. How does this graph give us the information regarding the magnitude of the charge of the particle?

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Answer

The slope of the graph is $\frac{\text{h}}{\sqrt{2\text{mq}}}.$ Considering we know slope and mass of the charged particle, we can easily calculate the charge.

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