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AMU Medical AMU Solved Paper-2001

  • question_answer
    The energy of hydrogen n atom in its ground state is -13.6 eV. The energy of the level corresponding to the quantum number n = 5 is

    A)  -5.40 eV                             

    B)  -0.54 eV

    C)  -2.72 eV                             

    D)  -0.85 eV

    Correct Answer: B

    Solution :

                     Key Idea The Bohrs energy of an electron is given by                 \[{{E}_{n}}=\frac{13.6\,{{Z}^{2}}}{{{n}^{2}}}eV\] Z = atomic number n = number of orbit = 1, 2, 3... \[\infty \] Here, n = 5,  Z = 1                 \[{{E}_{5th}}=-\frac{13.6\times {{1}^{2}}}{{{(5)}^{2}}}eV\]                 \[=-\frac{13.6}{25}=-0.544\,\,eV\]


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