Hydrogen atom: The electronic ground s...

Hydrogen atom:
The electronic ground state of hydrogen atom contains one electron in the first orbit. If sufficient energy is provided, this electron can be promoted to higher energy levels. The electronic energy of a hydrogen-like species (any atom//ions with nuclear charge Z and one electron) can be given as
`E_(n)=-(R_(H)Z^(2))/(n^(2))` where `R_(H)= "Rydberg constant," n= "principal quantum number"`
Calculate the following :
(a) the kinetic energy (in eV) of an electron in the ground state of hydrogen atom.
(b) the potential energy (in eV) of an electron in the ground state of hydrogen atom.

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The correct Answer is:

Ground state energy `=-13.6 eV`
`K.E. =+13.6 eV" " rArr " "P.E. =-27.2 eV`

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