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AMU Medical AMU Solved Paper-2009

  • question_answer
    The radius of the first Bohr orbit of the H atom is r. Then, the radius of the first orbit of \[L{{i}^{2+}}\] will be

    A)  \[\frac{r}{9}\]                                  

    B)  \[\frac{r}{3}\]  

    C)  3r                                          

    D)  9r

    Correct Answer: B

    Solution :

                     Formula for radius of H-like species, \[{{r}_{n}}=0.529\times \frac{{{n}^{2}}}{Z}\overset{o}{\mathop{A}}\,\]where, 0.529 \[\overset{o}{\mathop{A}}\,\] is the Bohr radius of H-atom n = principle quantum number, Z = atomic number                 So, \[{{r}_{n}}=\frac{r}{3}(\because n=1,\,z=3forL{{i}^{2+}})\]


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