#### Question

An electron is accelerated from rest through a potential V. Obtain the expression for the de-Broglie wavelength associated with it ?

#### Solution

Energy of electron, E = *eV*

Momentum,

\[p = \sqrt{2mE} = \sqrt{2meV}\]

de-Broglie wavelength,

\[\lambda = \frac{h}{p} = \frac{h}{\sqrt{2meV}}\]

∴\[\lambda = \frac{h}{\sqrt{2meV}}\]

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Solution An Electron is Accelerated from Rest Through a Potential V. Obtain the Expression for the De-broglie Wavelength Associated with It ? Concept: de-Broglie Relation.