BCECE Engineering BCECE Engineering Solved Paper-2006

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

    A)  \[\frac{\text{13}\text{.6}}{\text{11}}\text{eV}\]                             

    B)         \[\frac{\text{13}\text{.6}}{\text{112}}\text{eV}\]

    C)         \[\text{13}\text{.6}\times {{\text{(11)}}^{2}}\,\text{eV}\]         

    D)         \[\text{13}\text{.6}\,\text{eV}\]

    Correct Answer: A

    Solution :

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


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