Question

Find out the energy gain by the hydrogen electron to rise from the $n=1$ to the $n=5$ energy level.

• A. $+.88eV$
• B. $+2.54eV$
• C. $+10.21eV$
• D. $+12.09eV$
• E. $+13.05eV$

Answer 1

The correct option is E $+13.05eV$

Energy of nth orbit of H-atom, $E_n=-\frac{13.6}{n^2}$ $eV$

$\therefore$ $\Delta E=E_5-E_1=-13.6(\frac{1}{5^2}-\frac{1}{1^2})$ $eV$

$\therefore$ $\Delta E=13.6\times \frac{24}{25}=13.056$ $eV$