Punjab Medical Punjab - MET Solved Paper-2007

  • question_answer
    Every series of hydrogen spectrum has an upper and lower limit in wavelength. The spectral series which has an upper limit of wavelength equal to\[18752\overset{\text{o}}{\mathop{\text{A}}}\,\], is

    A)  Balmer series

    B)  Lyman series

    C)  Paschan series

    D)  Pound series

    Correct Answer: C

    Solution :

    For hydrogen spectrum from Bohrs theory                 \[\frac{1}{\lambda }=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] \[\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)=\frac{1}{\lambda R}\]                 \[=\frac{1}{18752\times {{10}^{-10}}\times 1.097\times {{10}^{7}}}\]                 \[=\frac{486}{10000}=\frac{7}{144}\]                 \[=\frac{{{4}^{2}}-{{3}^{2}}}{{{3}^{2}}\times {{4}^{2}}}\]                 \[=\left( \frac{1}{{{3}^{2}}}-\frac{1}{{{4}^{2}}} \right)\] \[\Rightarrow \]               \[{{n}_{1}}=3,\,\,{{n}_{2}}=4\] It is true for Paschan series.


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