AIIMS AIIMS Solved Paper-2005

  • question_answer
    The ground state energy of hydrogen atom is -13.6 eV. What is the potential energy of the electron in this state?

    A)  Zero                                     

    B) -27.2eV

    C)       1 eV                      

    D)       2 eV

    Correct Answer: B

    Solution :

                    From the first postulate of Bohrs atom model. \[{{90}^{o}}\] \[{{V}_{R}}\]  \[{{V}_{C}}\] i.e., KE of electron \[{{90}^{o}}\]   ....(1) Potential due to the nucleus, in the orbit in which electron is revolving \[V=\sqrt{V_{R}^{2}+V_{C}^{2}}\] \[{{V}_{R}}=12V,V=20V\]  Potential energy of electron                              \[\therefore \] \[{{(20)}^{2}}={{(12)}^{2}}+V_{C}^{2}\]                 ?..(2) Total energy of electron in the orbit \[\Rightarrow \] \[V_{C}^{2}={{(20)}^{2}}-{{(12)}^{2}}\] \[=400-144=256\]                                       ?..(3) This implies that \[\Rightarrow \] Given, that in ground state of hydrogen, total energy \[{{V}_{C}}=\sqrt{256}=16V\] \[F=\frac{IA}{c}\]  \[P=\frac{F}{A}=\frac{I}{C}\] \[F\times \Delta t.\] Note: Total energy of electron in outer orbits is more than that in inner orbits.


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