The ratio of the wavelengths of the first line of the Lyman series and the first line of the Balmer series in the hydrogen spectrum is:

The energy of a hydrogen atom in its ground state is $- 13.6\,\,eV$. The energy of the level corresponding to the quantum number $n = 2$ (first excited state) in the hydrogen atom is

The energy of electron in the nth orbit of hydrogen atom is expressed as${E_n} = \frac{{ - 13.6}}{{{n^2}}}eV$. The shortest and longest wavelength of Lyman series will be

For ionizing an excited hydrogen atom, the energy required (in $eV$) will be