CMC Medical CMC-Medical Ludhiana Solved Paper-2009

  • question_answer
    If r1 and r2 are the radii of the atomic nuclei of mass numbers 64 and 125 respectively, then the ratio \[\left( {{r}_{1}}/{{r}_{2}} \right)\]is

    A)  \[\frac{64}{125}\]                           

    B)  \[\sqrt{\frac{64}{125}}\]

    C)  \[\frac{5}{4}\]                                  

    D)  \[\frac{4}{5}\]

    Correct Answer: D

    Solution :

                    \[r={{r}_{0}}{{(A)}^{1/3}}\] \[\therefore \]  \[\frac{{{r}_{1}}}{{{r}_{2}}}={{\left( \frac{A{{ & }_{1}}}{{{A}_{2}}} \right)}^{1/3}}\] \[={{\left( \frac{64}{125} \right)}^{1/3}}\] \[={{\left[ {{\left( \frac{4}{5} \right)}^{3}} \right]}^{1/3}}=\frac{4}{5}\]


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