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Question
The ground state energy of a hydrogen atom is −13.6 eV. What are the kinetic and potential energies of the electron in this state?
Solution
Ground state energy of hydrogen atom, E = −13.6 eV
This is the total energy of a hydrogen atom. Kinetic energy is equal to the negative of the total energy.
Kinetic energy = − E
= − (−13.6)
= 13.6 eV
Potential energy is equal to the negative of two times the kinetic energy.
Potential energy = − 2 × Kinetic energy
= − 2 × (13.6)
= −27.2 eV
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