JEE Main & Advanced JEE Main Paper (Held On 15 April 2018) Slot-I

  • question_answer
    The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energy required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is:                                                                                                    [JEE Online 15-04-2018]

    A) \[20eV\]                      

    B) \[79eV\]          

    C) \[109eV\]                    

    D) \[34eV\]

    Correct Answer: B

    Solution :

    Let \[{{E}_{1}}=\]energy required to remove \[{{e}^{-}}\] from singly ionised Helium atom \[=\frac{+13.6{{z}^{2}}}{{{n}^{2}}}\] \[=\frac{(13.6){{(2)}^{2}}}{{{(1)}^{2}}}\] \[=54.4eV\] \[{{E}_{2}}=\] Energy required to remove an \[{{e}^{-}}\] from He ?atom Given \[{{E}_{1}}=2.2{{E}_{2}}\] \[\therefore {{E}_{2}}=\frac{{{E}_{1}}}{2.2}=\frac{54.4}{2.2}=24.7eV\] \[\therefore \] Energy required to remove both \[{{e}^{-}}'s\] from He-atom \[=24.7+54.4\] \[=79.1eV\]


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