BHU PMT BHU PMT (Screening) Solved Paper-2006

  • question_answer
    The ionization energy of 10 times ionized sodium atom is:

    A) \[\frac{13.6}{11}eV\]                     

    B)  \[\frac{13.6}{112}eV\]

    C)   \[13.6\times {{(11)}^{2}}\,eV\]               

    D) \[13.6\text{ }eV\]

    Correct Answer: C

    Solution :

                     The energy of nth orbit of hydrogen like atom is, \[E_{n}^{2}=-13.6\frac{{{Z}^{2}}}{{{n}^{2}}}\] Here, Z =11 for Na atom.\[10{{e}^{-l}}\]are removed already. For the last electron to be removed                                 \[n=1\] Hence,                  \[E_{n}^{2}=-13.6\times \frac{{{(11)}^{2}}}{{{(1)}^{2}}}\]                                 \[=-13.6\times {{(11)}^{2}}eV\]


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