Question 455: Atoms & Nuclei

Question

An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct?

Accepted Answer

Potential energy $$=-\frac{1}{4 \pi \varepsilon_0} \cdot \frac{\mathrm{ze}^2}{\mathrm{r}}$$
Kinetic energy $$=-\frac{1}{2}(	ext{P.E.})=\frac{1}{8 \pi \varepsilon_0} \cdot \frac{\mathrm{ze}^2}{\mathrm{r}}$$
Total energy $$=\frac{1}{2}(	ext{P.E.})=-\frac{1}{8 \pi \varepsilon_0} \frac{\mathrm{ze}^2}{\mathrm{r}}$$
As r decreases K.E, increases
As r decreases P.E. and T.E. decreases (since they are negative).

Answer

Kinetic energy, potential energy and total energy decreases

Answer

Kinetic energy and total energy decreased but potential energy increases

Answer

Kinetic energy increases but potential energy and total energy decreases

Answer

Kinetic energy decreases, potential energy increases but total energy remains the same.

Atoms & Nuclei

An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct?

Choose the correct answer: