Question

The ionization potential of hydrogen is $13.6V$. How much energy need to be supplied to ionize the hydrogen atom in the first excited state?

• A. $13.6eV$
• B. $27.2eV$
• C. $3.4eV$
• D. $6.8eV$

Answer 1

The correct option is C $3.4eV$

The formula defining the energy levels of a Hydrogen atom are given by the equation:
$E=-\frac{E_0}{n^2}$, where $E_0=13.6eV$
Energy need to be supplied to ionize the hydrogen atom in the first excited state will be given by taking $n=2$ in above equation:
$E=\frac{13.6}{2^2}=3.4eV$