JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    The first line of Balmer series has wavelength 6563 Å. What will be the wavelength of the first member of Lyman series [RPMT 1996]

    A)            1215.4 Å                                 

    B)            2500 Å

    C)            7500 Å                                     

    D)            600 Å

    Correct Answer: A

    Solution :

                       \[\frac{1}{{{\lambda }_{Balmer}}}=R\left[ \frac{1}{{{2}^{2}}}-\frac{1}{{{3}^{2}}} \right]=\frac{5R}{36}\], \[\frac{1}{{{\lambda }_{Lyman}}}=R\left[ \frac{1}{{{1}^{2}}}-\frac{1}{{{2}^{2}}} \right]=\frac{3R}{4}\]            \[\therefore {{\lambda }_{Lyman}}={{\lambda }_{Balmer}}\times \frac{5}{27}=1215.4\ {\AA}\]


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