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

Easy

A

Its kinetic energy increases and its potential and total energies decrease.
B

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

Its kinetic and total energies decrease and its potential energy increases
D

Its kinetic, potential and total energies decreases

Solution

For hydrogen and hydrogen like atoms
$E_{n} = - 13.6 \frac{z^{2}}{n^{2}} eV U_{n} = 2 E_{n} = - 27.2 \frac{z^{2}}{n^{2}} eV and K_{n} = |E_{n}| = 13.6 \frac{z^{2}}{n^{2}} eV$
From these three relations. can see that as n decreases, $K_{n}$ will increase but $E_{n}$ and $U_{n}$ will decrease.

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