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  4. The first excitation potential of hydrogen atom in the ground state is :

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Q. The first excitation potential of hydrogen atom in the ground state is :

J & K CETJ & K CET 2001

Solution:

From Bohrs concept, energy of atom is nth level is $ E=\frac{Rhc}{n^{2}} $
Energy required to raise an electron from ground state $ (n=1) $ to first excited state $ (n=2) $ is
$ E=E_{2}-E_{1} $
$ E=-3.4-(13.4) $
$ E=-3.4+13.4=10.2\,eV $

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