Target Exam

CUET

Subject

Physics

Chapter

Atoms

Question:

The ground state energy of hydrogen atom is -13.6 eV. The kinetic and potential energies of the electron in this state will be

Options:

Kinetic energy of the electron = 13.6 eV; potential energy of the electron = -27.2 eV

Kinetic energy of the electron = -13.6 eV; potential energy of the electron = 27.2 eV

Kinetic energy of the electron = 13.6 eV; potential energy of the electron = -13.6 eV

Kinetic energy of the electron =-13.6 eV; potential energy of the electron =-13.6 eV

Correct Answer:

Kinetic energy of the electron = 13.6 eV; potential energy of the electron = -27.2 eV

Explanation:

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