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JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    Which state of triply ionised Baryllium \[(B{{e}^{+++}})\] has the same orbital radius as that of the ground state of hydrogen [KCET 2004]

    A)            n = 4                                        

    B)            n = 3

    C)            n = 2                                        

    D)            n = 1

    Correct Answer: C

    Solution :

                       Radius of nth orbit for any hydrogen like atom                       \[{{r}_{n}}={{r}_{0}}\left( \frac{{{n}^{2}}}{Z} \right)\] (\[{{r}_{0}}=\]radius of first orbit of \[{{H}_{2}}\]-atom)            If \[{{r}_{n}}={{r}_{0}}\] Þ \[n=\sqrt{Z}.\] For Be+++, Z = 4 Þ n = 2.


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