JEE Main & Advanced AIEEE Solved Paper-2010

  • question_answer
      Ionisation energy of\[H{{e}^{+}}\]is \[19.6\times {{10}^{-18}}J\,ato{{m}^{-1}}\]. The energy of the first stationary state (\[n=1\]) of \[L{{i}^{2+}}\]is       AIEEE  Solved  Paper-2010  

    A) \[8.82\times {{10}^{-17}}J\text{ }ato{{m}^{-1}}\]

    B) \[4.41\times {{10}^{-16}}J\text{ }ato{{m}^{-1}}\]

    C) \[-4.41\times {{10}^{-17}}J\text{ }ato{{m}^{-1}}\]

    D) \[-2.2\times {{10}^{-15}}J\text{ }ato{{m}^{-1}}\]

    Correct Answer: C

    Solution :

    \[\frac{I.{{E}_{1}}}{I.{{E}_{2}}}=\frac{Z_{1}^{2}}{Z_{2}^{2}}\] \[=\frac{19.6\times {{10}^{-18}}}{x}=\frac{4}{9}\] \[x=\frac{9}{4}\times 19.6\times {{10}^{-18}}=44.1\times {{10}^{-18}}J/atm.\] \[=4.41\times {{10}^{-17}}J/atm\]


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