RAJASTHAN PMT Rajasthan - PMT Solved Paper-1996

  • question_answer
    The wavelength of first line of Balmer series is\[6563\overset{\text{o}}{\mathop{\text{A}}}\,\]. The wavelength of first line of Lyman series is:

    A)  \[1215.4\overset{\text{o}}{\mathop{\text{A}}}\,\]                        

    B)         \[2500\overset{\text{o}}{\mathop{\text{A}}}\,\]                           

    C)         \[7500\overset{\text{o}}{\mathop{\text{A}}}\,\]                           

    D)         \[600\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: A

    Solution :

    Ratio of wavelengths of 1st line of Balmer and Lyman series \[\frac{{{\lambda }_{Lyman}}}{{{\lambda }_{Balmer}}}=\frac{\left( \frac{1}{{{2}^{2}}}-\frac{1}{{{3}^{2}}} \right)}{\left( \frac{1}{{{1}^{2}}}-\frac{1}{{{2}^{2}}} \right)}\]                 \[{{\lambda }_{Lyman}}=1215.4\overset{\text{o}}{\mathop{\text{A}}}\,\]


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