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JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    The ratio of the energies of the hydrogen atom in its first to second excited state is [CPMT 1978]

    A)            1/ 4                                          

    B)            4/9

    C)            9/ 4                                          

    D)            4

    Correct Answer: C

    Solution :

               First excited state i.e. second orbit (n = 2)                    Second excited state i.e. third orbit (n = 3)            \[\because \ E=-\frac{13.6}{{{n}^{2}}}\] Þ \[\frac{{{E}_{2}}}{{{E}_{3}}}={{\left( \frac{3}{2} \right)}^{2}}=\frac{9}{4}\]


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