CET Karnataka Medical CET - Karnataka Medical Solved Paper-2006

  • question_answer
    If \[{{r}_{1}}\]and \[{{r}_{2}}\]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 :

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


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