JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    The ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra is        [EAMCET (Engg.) 2000]

    A)            \[\frac{25}{9}\]                   

    B)            \[\frac{17}{6}\]

    C)            \[\frac{9}{5}\]                      

    D)            \[\frac{4}{3}\]

    Correct Answer: A

    Solution :

                       For Bracket series \[\frac{1}{{{\lambda }_{\max }}}=R\left[ \frac{1}{{{4}^{2}}}-\frac{1}{{{5}^{2}}} \right]=\frac{9}{25\times 16}R\]            and \[\frac{1}{{{\lambda }_{\min }}}=R\left[ \frac{1}{{{4}^{2}}}-\frac{1}{{{\infty }^{2}}} \right]=\frac{R}{16}\Rightarrow \frac{{{\lambda }_{\max }}}{{{\lambda }_{\min }}}=\frac{25}{9}\]


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