Question

In Bohr's atomic model of hydrogen, let $K,P$ and $E$ are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level:

• A. $K$ decreases, $P$ and $E$ increase
• B. $P$ decreases, $K$ and $E$ increase
• C. $K$ increases, $P$ and $E$ decrease
• D. All $K,P$ and $E$ increase

Answer 1

The correct option is A $K$ decreases, $P$ and $E$ increase

$T.E.=\frac{-Z^{2}m{e}^4}{8(nh{\epsilon }_0{)}^2}$

$P.E.=\frac{-Z^{2}m{e}^4}{4(nh{\epsilon }_0{)}^2}$

$K.E.=\frac{Z^{2}m{e}^4}{4(nh{\epsilon }_0{)}^2}$

As electron makes transition to higher level, total energy and potential energy increases (due to negative sign) while the kinetic energy reduces.

Hence, $\left(B\right)$ is the correct answer.