Question

Which of the following curves may represent the energy of an electron in a hydrogen atom as a function of principal quantum number $n$.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

As the total energy of electron in hydrogen atom in the $n^{th}$ state is,

$E_n=-\frac{13.6}{n^2}\text{eV}$

$\Rightarrow E_n\propto \frac{-1}{n^2}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(\text{B}\right)$ is the correct answer.