VMMC VMMC Medical Solved Paper-2013

  • question_answer
    The energy of hydrogen atom in the nth orbit is \[{{E}_{n,}}\]then the energy in the nth orbit of single ionised helium atom is

    A) \[\frac{{{E}_{n}}}{2}\]

    B)  \[2{{E}_{n}}\]

    C)  \[4{{E}_{n}}\]

    D)  \[\frac{{{E}_{n}}}{4}\]

    Correct Answer: C

    Solution :

     The total energy in the \[{{\text{n}}^{\text{th}}}\] orbit is g; /en b \[E=-\frac{m{{z}^{2}}{{e}^{4}}}{8\varepsilon _{0}^{2}{{h}^{2}}}\left( \frac{1}{{{n}^{2}}} \right)\] \[Z=2\] \[E\propto {{Z}^{2}}\] \[{{E}^{2}}\propto 4\] \[E=4{{E}_{n}}\]


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