The potential energy of an electron in an ato | vedclass

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Question

(B) The potential energy $(PE)$ of an electron at a distance $r$ from the nucleus of charge $Ze$ is given by the electrostatic potential energy formul

Vedclass · Accepted Answer

$- Z e^2 / r$

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(B) The potential energy $(PE)$ of an electron at a distance $r$ from the nucleus of charge $Ze$ is given by the electrostatic potential energy formula:$PE = \frac{k_e q_1 q_2}{r}$Here,$q_1 = Ze$ (charge of the nucleus) and $q_2 = -e$ (charge of the electron).Thus,$PE = \frac{k_e (Ze)(-e)}{r} = -\frac{k_e Z e^2}{r}$.In Gaussian units where $k_e = 1$,the expression simplifies to $PE = -\frac{Z e^2}{r}$.

The potential energy of an electron in an atom is given by:

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