JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    An ionic atom equivalent to hydrogen atom has wavelength equal to 1/4 of the wavelengths of hydrogen lines. The ion will be                                                                 [RPET 1997]

    A)            \[H{{e}^{+}}\]                      

    B)            \[L{{i}^{++}}\]

    C)            \[N{{e}^{9+}}\]                   

    D)            \[N{{a}^{10+}}\]

    Correct Answer: A

    Solution :

               \[\bar{\nu }\propto \frac{1}{\lambda }\propto {{Z}^{2}}\Rightarrow \lambda {{Z}^{2}}=\]constant \[\Rightarrow \lambda =\frac{\lambda }{4}{{Z}^{2}}\Rightarrow Z=2\]


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