DUMET Medical DUMET Medical Solved Paper-2010

  • question_answer
    The density of a nucleus of mass number A is proportional to

    A)  \[{{A}^{3}}\]

    B)  \[{{A}^{1/3}}\]   

    C)  \[{{A}^{1}}\]

    D)  \[A{}^\circ \]

    Correct Answer: D

    Solution :

     Radius of a typical nucleus is given by \[R={{R}_{0}}{{A}^{1/3}}\]. So, the volume of the nucleus is given by \[V=R_{0}^{3}A\] Hence, the density is given by \[\rho =\frac{A}{R_{0}^{3}A}=\frac{1}{R_{0}^{3}}\] \[\rho ={{A}^{o}}\]


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