JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    In terms of Rydberg's constant R, the wave number of the first Balmer line is      [MP PMT 1996]

    A)            R    

    B)            3R

    C)            \[\frac{5R}{36}\]                 

    D)            \[\frac{8R}{9}\]

    Correct Answer: C

    Solution :

                       Wave number \[=\frac{1}{\lambda }=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\]                    For first Balmer line n1= 2, n2=3            \[\therefore \]Wave number \[=R\left( \frac{1}{{{2}^{2}}}-\frac{1}{{{3}^{2}}} \right)=R\left( \frac{9-4}{9\times 4} \right)=\frac{5R}{36}\]


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