Manipal Engineering Manipal Engineering Solved Paper-2008

  • question_answer
    The ratio of minimum to maximum wavelength in Balmer series is

    A)  5 : 9                      

    B)         5 : 36

    C)  1 : 4                      

    D)         3 : 4

    Correct Answer: A

    Solution :

    For maximum wavelength of Balmer series                 \[\frac{1}{{{\lambda }_{\max }}}=R\left( \frac{1}{{{2}^{2}}}-\frac{1}{{{3}^{2}}} \right)=\frac{R\times 5}{36}\]                ? (i) For minimum wavelength of Balmer series,                 \[\frac{1}{{{\lambda }_{\min }}}=R\left( \frac{1}{{{2}^{2}}}-\frac{1}{\infty } \right)=\frac{R}{4}\]                 ? (ii) From Eqs. (i) and (ii), we have \[\therefore \]  \[\frac{{{\lambda }_{\min }}}{{{\lambda }_{\max }}}=\frac{R\times 5}{36}\times \frac{4}{R}=\frac{5}{9}\]


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