JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    The wavelength of the first line of Balmer series is \[6563\ {AA}\]. The Rydberg constant for hydrogen is about [MP PMT/PET 1998]

    A) \[1.09\times {{10}^{7}}per\ m\]                                      

    B) \[1.09\times {{10}^{8}}per\ m\]

    C) \[1.09\times {{10}^{9}}per\ m\]                                      

    D) \[1.09\times {{10}^{5}}per\ m\]

    Correct Answer: A

    Solution :

               \[\frac{1}{\lambda }=R\left[ \frac{1}{4}-\frac{1}{9} \right]=\frac{5R}{36}\]            \[\therefore R=\frac{36}{5\lambda }=\frac{36}{5\times 6563\times {{10}^{-10}}}=1.09\times {{10}^{7}}{{m}^{-1}}\]


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