Question

In hydrogen atom electron of charge $-e$ and mass m revolves round the nucleus in a circular orbit of radius r. The electrostatic potential energy of the electron is $\frac{1}{4\pi {\epsilon }_0}$ times

• A. $\frac{-e}{r}$
• B. $\frac{-e^2}{r}$
• C. $\frac{e^2}{r}$
• D. $\frac{-m{e}^2}{r}$

Answer 1

The correct option is B $\frac{-e^2}{r}$

We know potential energy $=\frac{k{q}_1{q}_2}{r}$

$\Rightarrow U=\frac{k(-e)\left(e\right)}{r}$

$\Rightarrow U=\frac{1}{4\pi e_0}\frac{-e^2}{r}$