The ground state energy of hydrogen atom is –13.6 eV. What are the kinetic and potential energies of the electron in this state?
The ground state energy of hydrogen atom is –13.6 eV. What are the kinetic and potential energies of the electron in this state?

Ans:

We know that the ground state energy of hydrogen atom is given by –

E = − 13.6 eV

The total energy of hydrogen atom is equal to -13.6 eV. It is understood that the kinetic energy is equal to the negative of the total energy. So, we get –

Kinetic energy = − E = − (− 13.6) 13.6 eV

Similarly, the potential energy is equal to the negative of twice the kinetic energy (T=E+V). So,

Potential energy = V= − 2 × ( 13.6 )

V = − 27.2 eV