Consider a hypothetical universe where the electrostatic force between two charges is proportional to $1/r^3$ instead of $1/r^2$. According to the Bohr model adapted for this universe, how would the radius of the nth orbit ($r_n$) depend on n?

The electron in a hydrogen atom makes a transition from $n = {n_1}$ to $n = {n_2}$ state. The time period of the electron in the initial state is eight times that in the final state. The possible values of ${n_1}$ and ${n_2}$ are

How much work must be done to pull apart the electron and the proton that make up the Hydrogen atom, if the atom is initially in the state with $n = 2$

An electron in an atom has a kinetic energy of $10.2$ eV. If the ratio of kinetic energy to total energy is $-1$, what is the potential energy of the electron?

The ratio of kinetic energy to potential energy of an electron in an atom is:

In which of the following systems will the radius of the first orbit $\left( {n = 1} \right)$ be minimum

In any Bohr orbit of the hydrogen atom, the ratio of kinetic energy to potential energy of the electron is

The extreme wavelengths of Paschen series are

The wavelength of the photon emitted when an electron in a hydrogen atom jumps from the 3rd orbit to the 2nd orbit is measured as 656 nm. What is the value of the Rydberg constant?

The longest wavelength in the Lyman series of the hydrogen spectrum is 121.6 nm. What is the longest wavelength in the Balmer series?

The frequency of ${1^{st}}$ line of Balmer series in ${H_2}$ atom is ${v_0}$. The frequency of line emitted by singly ionized $He$ atom is