JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Self Evaluation Test - Structure of Atom

  • question_answer
    The wave number of electromagnetic radiation emitted during the transition in between two energy levels of \[L{{i}^{2+}}\] ion whose principal quantum number sum is 4 and difference is 2, is

    A) \[3.5{{R}_{H}}\]

    B) \[4{{R}_{H}}\]

    C) \[8{{R}_{H}}\]

    D) \[\frac{8}{9}{{R}_{H}}\]

    Correct Answer: C

    Solution :

    [c]  \[{{n}_{1}}+{{n}_{2}}=4\]            ...... (i) \[{{n}_{2}}-{{n}_{1}}=2\]                   ...(ii) \[{{n}_{1}}=1,\,{{n}_{2}}=3\] \[\overline{v}={{R}_{H}}{{Z}^{2}}\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] \[={{R}_{H}}\times {{3}^{2}}\times \left[ \frac{1}{{{1}^{1}}}-\frac{1}{{{3}^{2}}} \right]=8{{R}_{H}}\]     


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