Question

describe the line spectrum of hydrogen

Answer 1

Quantum mechanics says that electron is both a wave as well as a particle. Due to its wave nature, electron cannot be in just any state, but only in those states where the electron wave interferes constructively with itself. (Imagine a wave propagating in a circular string). These states are called eigenstates of the atom. Each such state has an associated energy and an angular momentum.

An atom emits a photon (particle of light) when it "jumps" from a higher state (state with higher energy) to lower and absorbs a photon when it jumps from a lower state to higher. As the energy of a state is discrete, so are the energies associated with these jumps (or transitions). 

When you excite a lot of hydrogen atoms to go to higher states, they will deecxite by emitting photons of these allowed energies. If you decompose the emitted light, you will see discrete lines instead of a continuous spectrum. Similarly, if you pass white light through a column of hydrogen, the photons having to allowed energies will be absorbed. These are called emission spectrum and absorption spectrum respectively. See the image.

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Answer 2

The spectrum of hydrgen atom is divided by a number of spectral series •••

with wavelength s by Rydberg formula•••
due to the electronic making transition s in between two energy levels •••
in an atom