Given that the binding energy of the hydrogen atom in its ground state is -13.6 eV,what is the energy when it is in the n = 5 state?
A)2.72 eV
B)-2.72 eV
C)0.544 eV
D)-0.544 eV

Question

Quizplus · Accepted Answer

The energy levels of a hydrogen atom can be calculated using the formula $E_n = \frac{E_1}{n^2}$, where $E_1$ is the energy of the ground state (n=1), and $n$ is the principal quantum number of the state in question. Given $E_1 = -13.6$ eV for the ground state, the energy for the $n = 5$ state is $E_5 = \frac{-13.6 \text{ eV}}{5^2} = \frac{-13.6 \text{ eV}}{25} = -0.544 \text{ eV}$.

Given That the Binding Energy of the Hydrogen Atom in Its