AFMC AFMC Solved Paper-2008

  • question_answer
    If r1, and r2 are the radii of the atomic nuclei of mass numbers 64 and 125 respectively, then the ratio (r1/r2) 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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