In a hydrogen atom, the energy of the electron in the $n$th orbit is $…

Question

In a hydrogen atom, the energy of the electron in the $n$th orbit is $E_n = -	frac{13.6}{n^2}\,	ext{eV}$. The energy required to excite the electron from $n = 1$ to $n = 3$ is

Accepted Answer

A. $12.09\,	ext{eV}$

$\Delta E = E_3 - E_1 = -	frac{13.6}{9} - (-13.6) = 13.6\left(1 - 	frac{1}{9}ight) = 13.6 \cdot 	frac{8}{9} \approx 12.09\,	ext{eV}$. Option A is the $1	o 2$ jump (10.2 eV); option C is the full ionisation energy from ground state.

Answer

$10.2\,	ext{eV}$

Answer

$1.51\,	ext{eV}$

Answer

$13.6\,	ext{eV}$

In a hydrogen atom, the energy of the electron in the $n$th orbit is $E_n = -\tfrac{13.6}{n^2}\,\text{eV}$. The energy required to excite the electron from $n = 1$ to $n = 3$ is