Question

The relation between kinetic energy $\left(K\right)$ and potential energy $\left(U\right)$ of an electron of an atom is -

• A. $U=K$
• B. $U=2K$
• C. $U=-K$
• D. $U=-2K$

Answer 1

The correct option is D $U=-2K$

Kinetic energy of the electron is given by,

$K=13.6\frac{Z^2}{n^2}\text{eV}...\left(1\right)$

Potential energy of the electron is given by,

$U=-27.2\frac{Z^2}{n^2}\text{eV}...\left(2\right)$

From equations $\left(1\right)$ and $\left(2\right)$, we get,

$U=-2K$

​​​​​​​Hence, option $\left(D\right)$ is the correct answer.