Question

If $E_p$ and $E_k$ are the potential energy and kinetic energy of the electron in a stationary orbit in the hydrogen atom, the value of $E_p/E_k$ is

• A. -2
• B. 2
• C. -1
• D. 1

Answer 1

Answer: (A)

-2

Answer 2

Here, $E_p = - \frac{1}{4 \, \pi \, \in_0} \frac{Ze^2}{r}$ and $E_k = \frac{1}{8 \, \pi \, \in_0} \frac{Ze^2}{r}$
$\therefore$ $\frac{E_p}{E_k} = - 2$