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:

  • A
    Lyman series
  • B
    Balmer series
  • C
    Paschen series
  • D
    Pfund series

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The frequencies for the series limit of the Balmer and Paschen series are $v_1$ and $v_3$ respectively. If the frequency of the first line of the Balmer series is $v_2$,then the relation between $v_1, v_2,$ and $v_3$ is:

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