CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    The nuclear radius of a certain nucleus is 7.2 fm and it has charge of\[1.28\times {{10}^{-17}}C\]. The number of neutrons inside the nucleus is

    A)  136                       

    B)         142                       

    C)         140                       

    D)         132

    E)  126

    Correct Answer: A

    Solution :

    \[R={{R}_{0}}{{A}^{1/3}}\] Here, \[R=7.2\times {{10}^{-15}}m,{{R}_{0}}=1.2\times {{10}^{-15}}m\] \[\therefore \]\[A={{\left( \frac{R}{{{R}_{0}}} \right)}^{3}}=\left( \frac{7.2\times {{10}^{-15}}}{1.2\times {{10}^{-15}}} \right)={{(6)}^{3}}=216\] Also, atomic number\[Z=\frac{q}{e}=\frac{1.28\times {{10}^{-17}}}{1.6\times {{10}^{-19}}}=80\] Therefore, number of neutrons \[N=A-Z=216-80=136\]


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