BHU PMT BHU PMT (Screening) Solved Paper-2010

  • question_answer
    The first emission line in the atomic spectrum of hydrogen in the Balmer series appears at

    A)  \[\frac{9R}{400}c{{m}^{-1}}\]                    

    B)  \[\frac{7R}{144}c{{m}^{-1}}\]

    C)   \[\frac{3R}{4}c{{m}^{-1}}\]                       

    D)  \[\frac{5R}{36}c{{m}^{-1}}\]

    Correct Answer: D

    Solution :

                     For Balmer series,\[{{n}_{1}}=2\]and\[{{n}_{2}}=3,\]thus\[\overline{v}={{R}_{H}}\left[ \frac{1}{{{(2)}^{2}}}-\frac{1}{{{(3)}^{2}}} \right]=\frac{5R}{36}\]


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