What is the ratio of the orbital periods of an electron in the $n=1$ and $n=2$ states of a hydrogen

Question

What is the ratio of the orbital periods of an electron in the $n=1$ and $n=2$ states of a hydrogen atom?

Professor PC Thomas Classes · Answer

Orbital period $T \propto n^3$. Therefore, the ratio of the periods for $n=1$ and $n=2$ is $1^3 : 2^3 = 1 : 8$.