Question

What is the degeneracy of the hydrogen atom energy level that has the energy $(-\frac{R_H}{9})$?
(Where $R_H$ is Rydberg energy constant)

• A. 8
• B. 6
• C. 9
• D. 5

Answer 1

The correct option is C 9

We know,
$E_n=-\frac{R_H}{n^2}=-\frac{R_H}{9}$
$\therefore n=3$

Since n=3, there are 3 subshells, but, for H like systems, for any energy level n, the degeneracy is given by $n^2$

So the degeneracy of the energy level will be $n^2=3^2=9$