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CET Karnataka Engineering CET - Karnataka Engineering 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 \[({{r}_{1}}/{{r}_{2}})\] 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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