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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    If the nuclear radius of \[^{27}Al\] is 3.6 Fermi, the approximate nuclear radius of \[^{64}Cu\] in Fermi is

    A)  4.8

    B)  3.6  

    C)  2.4

    D)  1.2

    Correct Answer: A

    Solution :

    [a] Nuclear radius, \[r\propto {{A}^{1/3}}\] where A is mass number \[\frac{{{r}_{Cu}}}{{{r}_{Al}}}={{\left( \frac{{{A}_{Cu}}}{{{A}_{Al}}} \right)}^{1/3}}={{\left( \frac{64}{27} \right)}^{1/3}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,{{r}_{Cu}}=3.6\left( \frac{4}{3} \right)=4.8\,\,\,Fermi\]


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