# Messing with an electron

An electron, practically at rest is initially accelerated through a potential difference $$100 \text{ V}$$. It then has a de Broglie wavelength of $$x_1$$.

It then gets retarded through $$19 \text{ V}$$ and has a wavelength of $$x_2$$.

A final retardation through $$32 \text{ V}$$ changes the wavelength to $$x_3$$.

What is $$\displaystyle\frac{x_3-x_2}{x_1}$$ as a percentage?

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