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# What do you mean by $1\mathrm{eV}$?

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Solution

## Electron volt: $1\mathrm{eV}$ is defined as the energy gained by an electron when it has been accelerated by a potential difference of $1\mathrm{volt}$, hence $1\mathrm{eV}=1.{{60210}^{-19}}_{}\mathrm{J}$.$\mathrm{eV}$ stands for electron volt.Mathematically,$\mathrm{W}=\mathrm{q}∆\mathrm{V}\phantom{\rule{0ex}{0ex}}=1{\mathrm{e}}^{-}\mathrm{C}\left(1\mathrm{V}\right)\frac{\mathrm{J}}{\mathrm{C}}\phantom{\rule{0ex}{0ex}}\mathrm{W}1\mathrm{eV}=1.6×{10}^{-19}\mathrm{J}$Here,$\mathrm{eV}$ is the electron volt.$\mathrm{J}$ is the joules.$\mathrm{W}$ is the work done.$\mathrm{q}$ is the charge.$\mathrm{V}$ is the potential difference.Therefore, it is the energy an electron would gain in moving between two points having a potential difference of $1\mathrm{volt}$.

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