Physics - Current Electricity Question with Solution | TestHub

In an atom, electron of charge $(-e)$ perform U.C.M. around a stationary positively charged nucleus, with period of revolution ${}^{\prime }{\mathrm{T}}^{\prime }$. If ${}^{\prime }{r}^{\prime }$ is the radius of the orbit of the electron and ' $v$ ' is the orbital velocity, then the circulating current $(\mathrm{I})$ is proportional to ${\underline{\mathbf{e}}}^1$ ${\underline{\mathbf{v}}}^1$ ${\underline{\mathbf{r}}}^{-1}$.
$\frac{2\pi r}{\mathrm{T}}=v$ $\mathrm{I}=\frac{\mathrm{e}}{\mathrm{T}}=\frac{\mathrm{ev}}{2\pi \mathrm{r}}={\mathrm{e}}^1{\mathrm{v}}^1{\mathrm{r}}^{-1}\frac{1}{2}\pi$ $\mathrm{I}\propto e^1{v}^1{r}^{-1}$