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J & K CET Engineering J and K - CET Engineering Solved Paper-2014

  • question_answer
    The ratio of radii of nuclei of two atoms of element of atomic mass numbers 27 and 64 is

    A)  \[3:4\]            

    B)  \[4:3\]

    C)  \[9:16\]           

    D)  \[16:9\]

    Correct Answer: A

    Solution :

    Radius of a nucleus \[R={{R}_{0}}{{A}^{\frac{1}{3}}}\] \[[{{R}_{0}}\to \text{constant }\!\!]\!\!\text{ }\] So, \[\frac{{{R}_{1}}}{{{R}_{2}}}={{\left( \frac{27}{64} \right)}^{\frac{1}{3}}}\] \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{3}{4}\]


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