J & K CET Engineering J and K - CET Engineering Solved Paper-2015

  • question_answer
    If R is Rydberg's constant, the series limit of the wavelength of Balmer series for hydrogen atom is given by

    A)  \[1/R\]    

    B)  \[4/R\]

    C)  \[9/R\]  

    D)  \[16/R\]

    Correct Answer: B

    Solution :

    As we know that          \[\frac{1}{\lambda }=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] For Balmer series, \[{{n}_{1}}=2,\,\,{{n}_{2}}=3,4.....\] Corresponding to series limit, \[{{n}_{2}}=\infty \] \[\frac{1}{\lambda }=R\left( \frac{1}{4}-\frac{1}{{{\infty }^{2}}} \right)\Rightarrow \lambda =\frac{4}{R}\]


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