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

  • question_answer
    Find the value of wave number \[~\left( \overline{v} \right)\] in terms of Rydberg's constant, when transition of electron takes place between two levels of \[H{{e}^{+}}\] ion whose sum is 4 and difference is 2.

    A) \[\frac{8R}{9}\]            

    B) \[\frac{32R}{9}\]

    C) \[\frac{3R}{9}\]       

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[{{n}_{1}}+{{n}_{2}}=4;{{n}_{2}}-{{n}_{1}}=2;\,\,\,\,\therefore {{n}_{1}}=l,{{n}_{2}}=3\] \[\overline{v}=R{{(2)}^{2}}\left[ \frac{1}{{{1}^{2}}}-\frac{1}{{{3}^{2}}} \right]=\frac{32R}{9}\]


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