Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2011

  • question_answer
    Ratio of the wavelength of first line Lyman series and first line of Balmer series is

    A)  1:3                                        

    B)  27 : 5

    C)  5 : 27                                    

    D)  4:9

    Correct Answer: C

    Solution :

    For Lyman series \[\frac{1}{{{\lambda }_{L}}}=R\left( \frac{1}{{{1}^{2}}}-\frac{1}{{{2}^{2}}} \right)=\frac{3R}{4}\]      ?..(i) For Bahner series                 \[\frac{1}{{{\lambda }_{B}}}=R\left( \frac{1}{{{2}^{2}}}-\frac{1}{{{3}^{2}}} \right)=\frac{5R}{36}\]                 ??.(ii) From Eqs. (i) and (ii)                 \[\frac{{{\lambda }_{L}}}{{{\lambda }_{B}}}=\frac{5}{27}\]


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