JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    If the energy of a hydrogen atom in nth orbit is \[{{E}_{n}}\], then energy in the nth orbit of a singley ionized helium atom will be                                                                                   [BHU 2004]

    A)            \[4{{E}_{n}}\]                       

    B)            \[{{E}_{n}}/4\]

    C)            \[2{{E}_{n}}\]                       

    D)            \[{{E}_{n}}/2\]

    Correct Answer: A

    Solution :

               \[{{E}_{n}}\propto {{Z}^{2}}\] Þ \[\frac{{{({{E}_{n}})}_{He}}}{{{({{E}_{n}})}_{H}}}=\frac{Z_{He}^{2}}{Z_{H}^{2}}=4\] Þ \[{{({{E}_{n}})}_{He}}=4\times {{({{E}_{n}})}_{H}}\]


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