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BCECE Medical BCECE Medical Solved Papers-2012

  • question_answer
    If the ratio of radii of nuclei \[_{13}^{27}\]Al and \[_{52}^{A}X\] is 3 : 5, then the number of neutrons in the nuclei of X will be

    A)  13             

    B)  52

    C)  100            

    D)  73

    Correct Answer: D

    Solution :

    By using the relation,                 \[\frac{{{r}_{1}}}{{{r}_{2}}}={{\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right)}^{1/3}}\]                 \[\frac{3}{5}={{\left( \frac{27}{A} \right)}^{1/3}}\]                 \[\frac{27}{125}=\frac{27}{A}\]                 A = 125 So, number of nuclei in atom X = A - 52 = 125 - 52 = 73


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