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J & K CET Engineering J and K - CET Engineering Solved Paper-2007

  • question_answer
    The radius of a nucleus with atomic mass number 7 is 2 Fermi. Find the radius of nucleus with atomic number 189.

    A)  3 Fermi      

    B)  4 Fermi

    C)  5 Fermi      

    D)  6 Fermi

    Correct Answer: D

    Solution :

    \[R={{R}_{0}}{{A}^{1/3}}\] \[\therefore \] \[\frac{{{R}_{1}}}{{{R}_{2}}}={{\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right)}^{1/3}}\] \[\frac{2}{{{R}_{2}}}={{\left( \frac{7}{189} \right)}^{1/3}}\] \[\Rightarrow \] \[{{R}_{2}}=6\,Fermi\]


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