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Question: Answered & Verified by Expert
If $m$ and $e$ are the mass and charge of the revolving electron in the orbit of radius $r$ for hydrogen atom, the total energy of the revolving electron will be:
ChemistryStructure of AtomJEE MainJEE Main 2014 (12 Apr Online)
Options:
  • A
    $\frac{1}{2} \frac{e^2}{r}$
  • B
    $-\frac{e^2}{r}$
  • C
    $\frac{m e^2}{r}$
  • D
    $-\frac{1}{2} \frac{e^2}{r}$
Solution:
2187 Upvotes Verified Answer
The correct answer is:
$-\frac{1}{2} \frac{e^2}{r}$
Total energy of a revolving electron is the sum of its kinetic and potential energy. Total energy $=$ K.E. $+$ P. E.
$$
=\frac{e^2}{2 r}+\left(-\frac{e^2}{r}\right)=-\frac{e^2}{2 r}
$$

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