Question

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

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

Answer 1

The correct option is D $E=-K$

Kinetic energy of the electron is given by,

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

Total energy of the electron is given by,

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

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

$E=-K$

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