Question

If $R_H$ is the Rydberg constant, then the energy of an electron in the ground state of Hydrogen atom is:

• A. $\frac{-R_H}{ch}$
• B. $\frac{-1}{R_{H}ch}$
• C. $\frac{-hc}{R_H}$
• D. $-R_{H}hc$

Answer 1

The correct option is D $-R_{H}hc$

Energy of an electron in the ground state of Hydrogen atom

Ground state energy for H-atom $=\frac{hc}{\lambda }=-R_H\left(hc\right)\frac{Z^2}{n^2}=-R_{H}hc$ $[\because z=1andn=1]$

$Energy=-R_{H}hc$
Option (D) is correct.