Which of the following is a property of the Rydberg constant?

Magnetic moment due to the motion of the electron in the $n$th energy state of a hydrogen atom is proportional to ..........

The approximate value of the principal quantum number for a circular orbit of a hydrogen atom of radius $530 \ nm$ is

The magnetic moment of an electron due to its orbital motion is proportional to ($n$ = principal quantum number).

Obtain an expression for the frequency of radiation emitted when a hydrogen atom de-excites from level $n$ to level $(n-1)$. For large $n$,show that this frequency equals the classical frequency of revolution of the electron in the orbit.

In the first excited state of a hydrogen atom, the energy of its electron is $-3.4 \text{ eV}$. The radial distance of the electron from the hydrogen nucleus in this case is approximately: (Take $1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}$, $e = 1.6 \times 10^{-19} \text{ C}$ and $\frac{1}{4\pi\epsilon_0} = 9 \times 10^9 \text{ N m}^2/\text{C}^2$)