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JEE Main & Advanced Physics Atomic Physics Question Bank Self Evaluation Test - Atoms

  • question_answer
    One of the lines in the emission spectrum of \[L{{i}^{2+}}\] has the same wavelength as that of the Ist line of Lyman series in hydrogen spectrum. The electronic transition corresponding to this line is \[n=6\to 3=x\] Find the value of x.

    A)  8 

    B)  3   

    C)  7

    D)  5

    Correct Answer: B

    Solution :

    [b] For Ist line of Lyman series in hydrogen spectrum \[\frac{1}{\lambda }=R\left( 1 \right)\left( \frac{1}{{{1}^{2}}}-\frac{1}{{{2}^{2}}} \right)=\frac{3}{4}R\] For \[L{{i}^{+}}\left[ \frac{1}{\lambda }=R\times 9\left( \frac{1}{{{3}^{2}}}-\frac{1}{{{6}^{2}}} \right)=\frac{3R}{4} \right]\] Which is satisfied by \[n=6\to n=3.\]


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