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J & K CET Medical J & K - CET Medical 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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