AMU Medical AMU Solved Paper-1998

  • question_answer
    Which of the following expression represents the energy of electron in a hydrogen atom?

    A)  \[E=\frac{2{{\pi }^{2}}m{{e}^{4}}}{{{h}^{2}}}\frac{1}{{{n}^{2}}}\]

    B)  \[E=\frac{4{{\pi }^{2}}m{{e}^{2}}}{{{h}^{2}}}\frac{1}{{{n}^{2}}}\]

    C)  \[E=-\frac{2{{\pi }^{2}}m{{e}^{4}}}{{{h}^{2}}}\frac{1}{{{n}^{2}}}\]

    D)  \[E=-\frac{4{{\pi }^{2}}m{{e}^{2}}}{{{h}^{2}}}\frac{1}{{{n}^{2}}}\]

    Correct Answer: C

    Solution :

    : The energy of an electron in the\[{{n}^{th}}\]orbit of hydrogen is given by\[{{E}_{n}}=\frac{-2{{\pi }^{2}}m{{e}^{4}}}{{{n}^{2}}{{h}^{2}}}\]


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