JCECE Engineering JCECE Engineering Solved Paper-2013

  • question_answer
    If the energy of hydrogen atom in the ground state is \[-13.6\,\,eV\], then energy of \[H{{e}^{+}}\] ion in first excited state will be

    A) \[6.8\,\,eV\]                     

    B) \[-13.6\,\,eV\]

    C) \[-27.2\,\,eV\]                 

    D)  \[-54.4\,\,eV\]

    Correct Answer: B

    Solution :

    \[{{E}_{H{{e}^{+}}}}=\frac{{{Z}^{2}}}{{{n}^{2}}}\times 13.6\,\,eV\] For \[H{{e}^{+}}\] ion \[Z=2\] and for first excited state\[n=2\] \[\therefore \]  \[{{E}_{H{{e}^{+}}}}=-\frac{{{2}^{2}}}{{{2}^{2}}}\times 13.6\,\,eV\]                          \[=-13.6\,\,eV\]


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