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(A) The energy of an electron in the $n^{th}$ orbit of a hydrogen atom is given by $E_n = -\frac{13.6}{n^2} \ eV$.At room temperature, hydrogen atoms

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Lyman series

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(A) The energy of an electron in the $n^{th}$ orbit of a hydrogen atom is given by $E_n = -\frac{13.6}{n^2} \ eV$.At room temperature, hydrogen atoms are in the ground state $(n=1)$, where the energy is $E_1 = -13.6 \ eV$.When the atom is bombarded with electrons of $13.6 \ eV$ energy, the atom can absorb this energy and be excited to the ionization limit $(n = \infty)$ or any intermediate state.However, the question asks for the series of the emitted spectral line. When an excited electron returns to the ground state $(n=1)$ from any higher energy level $(n > 1)$, the emitted radiation falls in the Lyman series.Since the electrons can excite the hydrogen atoms to higher states and they eventually decay to the ground state, the emitted spectral lines belong to the Lyman series.

At room temperature, gaseous hydrogen is bombarded with a beam of electrons of $13.6 \ eV$ energy. The series to which the emitted spectral line belongs is:

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