J & K CET Medical J & K - CET Medical Solved Paper-2011

  • question_answer
    Which of the following quantities for a nucleus is independent of its mass number?

    A)                  Density                               

    B)  Volume

    C)                  Mass                                   

    D)  Radius

    Correct Answer: A

    Solution :

                     Nuclear radius \[R={{R}_{0}}{{A}^{1/3}}\] Nuclear volume \[V=\frac{4}{3}\pi {{R}^{3}}=\frac{4}{3}\pi R_{0}^{3}A\] \[Nuclear\text{ }density\text{ }\rho =\frac{mA}{\frac{4}{3}\pi {{({{R}_{0}}{{A}^{1/3}})}^{3}}}\]                 \[\rho =\frac{m}{\frac{4}{3}\pi {{R}_{0}}}\]where A is the mass number. We can see that density is independent of mass number.


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