WB JEE Medical WB JEE Medical Solved Paper-2011

  • question_answer
    The energy of an electron in first Bohr orbit of H-atom is -13.6 eV. The possible energy value of electron in the excited state of \[\text{L}{{\text{i}}^{\text{2+}}}\] is

    A)  -122.4 eV           

    B)  30.6 eV

    C)  -30.6 eV             

    D)  13.6 eV

    Correct Answer: C

    Solution :

                     \[{{E}_{n}}=\frac{{{E}_{1}}}{{{n}^{2}}}\times {{Z}^{2}}\] For \[\text{L}{{\text{i}}^{\text{2+}}}\text{,}\]the excited state, \[n=2\]and \[Z=3\] \[\therefore \]  \[{{E}_{n}}=\frac{-13.6}{{{2}^{2}}}\times {{(3)}^{2}}\]                 \[=\frac{-13.6}{4}\times 9\]                 \[=-30.6\,eV\]


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