As an electron makes a transition from an exc | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a hydrogen-like atom,the radius of the orbit is given by $r_n \propto n^2$. As the electron transitions from an excited state to the ground st

Vedclass · Accepted Answer

its kinetic energy increases but potential energy and total energy decrease

Vedclass · Answer

(C) For a hydrogen-like atom,the radius of the orbit is given by $r_n \propto n^2$. As the electron transitions from an excited state to the ground state,$n$ decreases,so the radius $r$ decreases.The kinetic energy is given by $K.E. = \frac{kZe^2}{2r}$. Since $r$ decreases,the kinetic energy increases.The potential energy is given by $P.E. = -\frac{kZe^2}{r}$. Since $r$ decreases,the magnitude of the negative potential energy increases,meaning the potential energy becomes more negative (decreases).The total energy is given by $T.E. = -\frac{kZe^2}{2r}$. Since $r$ decreases,the total energy becomes more negative (decreases).Therefore,kinetic energy increases,while potential energy and total energy decrease.

As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion:

Similar Questions

Compared to other countries,which industry has received less attention for development in India?

Which of the following is monoatomic?

What will be the volume of $CO_2$ at $NTP$ obtained on heating $10 \ g$ of ($90\%$ pure) limestone (in $L$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module