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JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    The energy of hydrogen atom in its ground state is ? 13.6 eV. The energy of the level corresponding  to the quantum number n is equal 5 is                              [KCET (Engg./Med.) 2001]

    A)            ? 5.40 eV                                

    B)            ? 2.72 eV

    C)            ? 0.85 eV                                

    D)            ? 0.54 eV

    Correct Answer: D

    Solution :

               \[A={{A}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{t}{{{T}_{1/2}}}}}\Rightarrow \frac{1}{64}={{\left( \frac{1}{2} \right)}^{\frac{60}{{{T}_{1/2}}}}}\]Þ \[{{E}_{5}}=\frac{-13.6}{{{5}^{2}}}=\frac{-13.6}{25}=-0.54\ eV\]


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