Spectral Series of Hydrogen Atom

Find the ratio between the wavelengths of the 'most energetic' spectral lines in the Balmer and Paschen series of the hydrogen spectrum.

The short wavelength limit for the Lyman series of the hydrogen spectrum is $913.4 {\mathrm{A}}^0$. Calculate the short wavelength limit for Balmer series of hydrogen spectrum.

Show that the shortest wavelength lines in Lyman, Balmer and Paschen series have their wavelengths in the ratio $1:4:9$.

The electron, in a hydrogen atom, is in its second excited state. Calculate the wavelength of the lines in the Lyman series, that can be emitted through the permissible transitions of this electron.(Given the value of Rydberg constant, $\left.R=1.1\times {10}^7 {\mathrm{m}}^{-1}\right).$

A photon of energy $12.09 \mathrm{eV}$ is absorbed by an electron in ground state of a hydrogen atoms. What will be the energy level of electron? The energy of electron in the ground state of hydrogen atom is $-13.6 \mathrm{eV}.$

The second member of Lyman's series in hydrogen spectrum has a wavelength of $5400 {\mathrm{A}}^0$. Calculate the wavelength of the first member.

If the wavelength of the first member of Balmer series in hydrogen spectrum is $6563 {\mathrm{A}}^0$, calculate the wavelength of the first member of Lyman series in the same spectrum. 

Calculate the shortest wavelength of the photons emitted in the Bracket series of hydrogen spectrum. Which part of the E.M. spectrum does it belong to? $R=1.1\times {10}^7 {\mathrm{m}}^{-1}$

The ground state energy of hydrogen atom is $-13.6 \mathrm{eV}$
(i) What are the potential energy and kinetic energy of an electron in the $3^{rd}$ excited state?
(ii) If the electron jumps to the ground state from the third excited state, calculate the frequency of photon emitted. Take, Rydberg's constant, $R = 1.1\times {10}^7 {\mathrm{m}}^{-1}$

The ground state energy of hydrogen atom is $-13.6 \mathrm{eV}.$ If an electron makes a transition from an energy level $-0.85 \mathrm{eV}$ to $-1.51 \mathrm{eV},$ calculate the wavelength of the spectral line emitted. To which series of hydrogen spectrum does this wavelength belong?