Manipal Medical Manipal Medical Solved Paper-2012

  • question_answer
    The volume of a nucleus is directly proportional to

    A) \[A\]

    B)  \[{{A}^{3}}\]

    C)  \[\sqrt{A}\]             

    D)  \[{{A}^{1/3}}\]

    Correct Answer: A

    Solution :

     Radius of nucleus \[R={{R}_{0}}{{A}^{1/3}}\] where, \[{{R}_{0}}=1.2\times {{10}^{-15}}m\] Volume of nucleus\[(V)=\frac{4}{3}\pi {{R}^{3}}\] \[=\frac{4}{3}\pi {{[{{R}_{0}}{{A}^{1/3}}]}^{3}}\] \[=\frac{4}{3}\pi R_{0}^{3}A\] \[V\propto A\] (where, A = mass number of the nucleus)


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