Line Spectra of Hydrogen — Prelims Questions

The shortest wavelength in the Balmer series of the hydrogen spectrum is:

The ratio of the longest wavelength of the Lyman series to the shortest wavelength of the Paschen series in the hydrogen spectrum is:

The energy of an electron in the $n$-th orbit of hydrogen atom is given by $E_n = -13.6/n^2\,\text{eV}$. What is the energy required to excite an electron from the ground state to the first excited state?

Which of the following spectral series of hydrogen lies in the visible region of the electromagnetic spectrum?

If the wavelength of the first line of the Balmer series in the hydrogen spectrum is $\lambda_H$, then the wavelength of the first line of the Balmer series for a hydrogen-like ion with atomic number $Z$ will be:

The ratio of the maximum to minimum wavelength in the Lyman series of the hydrogen spectrum is: