The energy potential of a hydrogen atom is -13.6 eV. What will be the energy of the atom corresponding to n=5:

-0.54 eV

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-0.85 eV

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-0.64 eV

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-0.40 eV

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Solution

The correct option is A
-0.54 eV

Energy of ground state $E_{o}$ =-13.6 eV and energy level=5

$E_{5}$ = $\frac{- 13.6}{n^{2}}$ eV

$E_{5}$ = $\frac{- 13.6}{5^{2}}$ eV

$E_{5}$ = $\frac{- 13.6}{25}$ eV

=-0.54eV

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