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Punjab Medical Punjab - MET Solved Paper-2011

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

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

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

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

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

    Correct Answer: D

    Solution :

    \[r={{r}_{0}}{{(A)}^{1/3}}\] \[\therefore \]  \[\frac{{{r}_{1}}}{{{r}_{2}}}={{\left( \frac{{{A}_{1}}}{A2} \right)}^{1/3}}\]                 \[={{\left( \frac{64}{125} \right)}^{1/3}}\]                 \[={{\left[ {{\left( \frac{4}{5} \right)}^{3}} \right]}^{1/3}}=\frac{4}{5}\]


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