Question

For the hydrogen atom, the energy of the electron in the $n$th orbit is given by $E=\frac{-13.6}{n^2}eV$, where $n$ is an integer. The smallest amount of energy that a hydrogen atom can absorb in its ground state is:

• A. $1.00eV$
• B. $3.4eV$
• C. $6.8eV$
• D. $10.2eV$

Answer 1

The correct option is D $10.2eV$

$minimumenergy\Rightarrow n=2ton=1$
Energy of the $2^{nd}$ orbit $=-3.4ev$
$\Delta E=10.2ev$