Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Atoms

Question:

The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true.

Options:

Its kinetic energy increases and its potential and total energies decrease

Its kinetic energy decreases, potential energy increases and its total energy remains the same

Its kinetic and total energies decrease and its potential energy increases

Its kinetic, potential and total energies decreases

Correct Answer:

Its kinetic energy increases and its potential and total energies decrease

Explanation:

For hydrogen and hydrogen like atoms $E_n=-13.6 \frac{z^2}{n^2} ~eV$

$U_n=2 E_n=-27.2 \frac{z^2}{n^2} ~eV$ and $K_n=\left|E_n\right|=13.6 \frac{z^2}{n^2} ~eV$

From these three relations we can see that as n decreases, $K_n$ will increase but $E_n$ and $U_n$ will decreases.