The ground state energy of hydrogen atom is -13.6 eV. The kinetic and potential energies of the electron in this state will be
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Kinetic energy of the electron = 13.6 eV; potential energy of the electron = -27.2 eV
For a hydrogen atom:
Total energy in ground state: $E = -13.6 \, \text{eV}$
Relation between total, kinetic, and potential energies:
$E = K + U$ and $U = -2K$
Substitute $E = -13.6$ eV:
$-13.6 = K - 2K = -K$
⇒ $K = 13.6 \, \text{eV}$
Then $U = -2K = -27.2 \, \text{eV}$
Final Answer:
Kinetic energy of the electron = 13.6 eV; potential energy of the electron = -27.2 eV