Punjab Medical Punjab - MET Solved Paper-2003

  • question_answer
    Which is the shortest wavelength line in the Lyman series of the hydrogen spectrum? \[(R=1.097\times {{10}^{-2}}n{{m}^{-1}})\]

    A) \[94.21nm\]                      

    B) \[91.16nm\]

    C) \[911.6nm\]                      

    D) \[933.6nm\]

    Correct Answer: B

    Solution :

    For Lyman series,\[\frac{1}{\lambda }=R\left( \frac{1}{{{(1)}^{2}}}-\frac{1}{{{n}^{2}}} \right)\]hence, for \[\lambda \] to be smallest, \[n\] should be greatest (i.e.,\[\infty \]). \[\therefore \]  \[\frac{1}{{{\lambda }_{\min }}}=1.097\times {{10}^{-2}}\left( 1-\frac{1}{{{\infty }^{2}}} \right)\]                         \[=1.097\times {{10}^{-2}}\] or            \[{{\lambda }_{\min }}=\frac{1}{1.097\times {{10}^{-2}}}\]                        \[=91.16\,\,nm\]


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