JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2006

  • question_answer
        The radius of hydrogen atom in the ground state is\[0.53\text{ }\overset{o}{\mathop{\text{A}}}\,\]. The radius of\[L{{i}^{2+}}\]ion (atomic number = 3) in a similar state is

    A)  \[0.176\text{ }\overset{o}{\mathop{\text{A}}}\,\]         

    B)  \[\text{0}\text{.30 }\overset{o}{\mathop{\text{A}}}\,\]

    C)  \[\text{0}\text{.53 }\overset{o}{\mathop{\text{A}}}\,\]              

    D)  \[\text{1}\text{.23 }\overset{o}{\mathop{\text{A}}}\,\]

    Correct Answer: A

    Solution :

                    Key Idea \[{{r}_{n}}=\frac{{{r}_{0}}\times {{n}^{2}}}{Z}\] Given,\[{{r}_{0}}=\]radius of H atom in ground state \[=0.5\overset{o}{\mathop{\text{A}}}\,\] \[n=\]number of orbit = 1 \[Z=\]Atomic number of\[Li=3\] \[\therefore \]  \[{{r}_{n}}=\frac{0.53\times {{1}^{2}}}{3}=0.176\overset{o}{\mathop{\text{A}}}\,\]


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