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2. structure of atom — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry2. structure of atom1 Mark
MCQ
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
  • A
    $\frac{1}{2}\,\frac{{{e^2}}}{r}$
  • B
    $ - \frac{{{e^2}}}{r}$
  • C
    $\frac{{m{e^2}}}{r}$
  • ✓
    $-\frac{1}{2}\,\frac{{{e^2}}}{r}$
✓

Answer

Correct option: D.
$-\frac{1}{2}\,\frac{{{e^2}}}{r}$
d
Total energy of a revolving electron is the sum of its kinetic and potential energy. Total energy $= K.E. + P. E.$

$ = \frac{{{e^2}}}{{2r}} + \left( { - \frac{{{e^2}}}{r}} \right) =  - \frac{{{e^2}}}{{2r}}$

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Compare the bond lengths $a$ and $b$

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