Question

The total energy of a hydrogen atom in its ground state is $-13.6eV$. If the potential energy in the first excited state is taken as zero then the total energy in that state will be

• A. $-3.4eV$
• B. $3.4eV$
• C. $-6.8eV$
• D. $6.8eV$

Answer 1

The correct option is A $-3.4eV$

$\begin{array}{c}E=E_p+E_k=-2E_k+E_k\\ E=-E_k\\ E_k=\frac{-\left(-13.6\right)}{2^2}=\frac{13.6}{4}=3.4ev\\ E=-E_k=-3.4ev\end{array}$