JEE Main & Advanced Physics Atomic Physics Question Bank Topic Test - Atomic Physics

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

    A) n = 4

    B) n = 3

    C) n = 2

    D) n = 1

    Correct Answer: C

    Solution :

    (c) 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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