Target Exam

CUET

Subject

Physics

Chapter

Atoms

Question:

The kinetic energy of an electron in the ground state of hydrogen atom is 13.6 eV. The potential energy (P.E) and total energy (E) of electron in this state is:

Options:

$P.E=-13.6 eV, E=27.2 eV$

$P.E=+13.6 eV, E=-27.2 eV$

$PE= +27.2 eV, E=-13.6 eV$

$P.E=-27.2 eV, E=-13.6 eV$

Correct Answer:

$P.E=-27.2 eV, E=-13.6 eV$

Explanation:

$\text{K.E.} = 13.6\ \text{eV}$

$\text{For hydrogen atom: } \text{P.E.} = -2 \times \text{K.E.}$

$\text{P.E.} = -2 \times 13.6 = -27.2\ \text{eV}$

$\text{Total energy} = \text{K.E.} + \text{P.E.} = 13.6 - 27.2 = -13.6\ \text{eV}$

$\text{P.E.} = -27.2\ \text{eV},\ \text{E} = -13.6\ \text{eV}$