RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    The ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectrum is

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

    B)  \[\frac{17}{6}\]

    C)  \[\frac{9}{5}\]

    D)  \[\frac{4}{3}\]

    Correct Answer: A

    Solution :

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


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