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What while radiation is passed through a sample of hydrogen gas at room temperature , absorption lines are observed in lyman series only Explain

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In an atom when an electron jumps from higher energy level to lower energy level it amits energy in form of elecromagnetic radiations. When these elecromagnetic radiations are passed through a prism and received on a photographic film some lines are observed on that film and those lines are called spectral lines. For hydrogen like species when jump takes from any excited state to ground state (n=1) , line produced in that case is called a Lyman series line. If transition occurs from 3rd or above level to second level then corresponding lines produced are called Balmer lines. Similarly, for next level it is called Paschen series line. The wavelength of photon corresponding ot second least energy of Lyman series in H-atom is :

In an atom when an electron jumps from higher energy level to lower energy level it amits energy in form of elecromagnetic radiations. When these elecromagnetic radiations are passed through a prism and received on a photographic film some lines are observed on that film and those lines are called spectral lines. For hydrogen like species when jump takes from any excited state to ground state (n=1) , line produced in that case is called a Lyman series line. If transition occurs from 3rd or above level to second level then corresponding lines produced are called Balmer lines. Similarly, for next level it is called Paschen series line. If there are 3 atoms of a hydrogen like species one in 2nd one in 3rd and one in 4th excited state, then how many maximum total different Balmer and Paschen lines can be produced ?