JEE Main & Advanced Chemistry Structure of Atom Question Bank Critical Thinking

  • question_answer The energy of the electron in the first orbit of \[H{{e}^{+}}\] is \[-871.6\times {{10}^{-20}}J\]. The energy of the electron in the first orbit of hydrogen would be       [Roorkee Qualifying 1998]

    A)                 \[-871.6\times {{10}^{-20}}J\]    

    B)                 \[-435.8\times {{10}^{-20}}J\]

    C)                 \[-217.9\times {{10}^{-20}}J\]    

    D)                 \[-108.9\times {{10}^{-20}}J\]

    Correct Answer: C

    Solution :

               \[{{E}_{1\,\,H{{e}^{+}}}}={{E}_{1\,\,H}}\times {{z}^{2}}\]                    \[-871.6\times {{10}^{-20}}={{E}_{1H}}\times 4\]                                 \[{{E}_{1\,\,H}}=-217.9\times {{10}^{-20}}J\]

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