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The total energy of an electron in the first excited state of hydrogen atom is about −3.4 eV. Its kinetic energy in this state is

1. 3.4 eV
2. 6.8 eV
3. −3.4 eV
4. −6.8 eV

Correct answer: 3.4 eV

Solution

In the Bohr model of the hydrogen atom, the total energy of the electron is the sum of its kinetic energy and potential energy. The kinetic energy is equal in magnitude but opposite in sign to the total energy. Hence, the kinetic energy is +3.4 eV.

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