NEET AIPMT SOLVED PAPER SCREENING 2007

  • question_answer
                    The total energy of electron in the ground state of hydrogen atom is -13.6 eV. The kinetic energy of an electron in the first excited state is:

    A)                                                                                                                             3.4 eV

    B)                  6.8 eV 

    C)                  13.6 eV     

    D)                  1.7 eV

    Correct Answer: A

    Solution :

                                Key Idea: Total energy of electron in the orbit is equal to negative of its kinetic energy.                 The energy of hydrogen atom when the electron revolves in nth orbit is                 \[E=\frac{-13.6}{{{n}^{2}}}eV\]                 In the ground state; n = 1 \[\therefore E=\frac{-13.6}{{{1}^{2}}}=-13.6\,eV\] For         \[n=2,\,E=\frac{-13.6}{{{2}^{2}}}=-3.4\,eV\]                        So, kinetic energy of electron in the first excited state (i.e., for n = 2) is                 \[K=-E\,=(-3.4)=3.4\,\,eV\]


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