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MGIMS WARDHA MGIMS WARDHA Solved Paper-2008

  • 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 \[({{r}_{1}}/{{r}_{2}})\]is

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

    B) \[\sqrt{\frac{64}{125}}\]

    C) \[5/4\]                                 

    D) \[4/5\]

    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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