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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Nucleus, Nuclear Reaction

  • question_answer
    If radius of the \[_{13}^{27}Al\] nucleus is estimated to be 3.6 Fermi then the radius of  \[_{52}^{125}Te\]nucleus be nearly                   [AIEEE 2005]

    A)            4 Fermi                                   

    B)            5 Fermi

    C)            6 Fermi                                   

    D)            8 Fermi

    Correct Answer: C

    Solution :

                       \[r\propto {{A}^{1/3}}\] Þ \[\frac{{{r}_{1}}}{{{r}_{2}}}={{\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right)}^{1/3}}\]            Þ \[\frac{3.6}{{{r}_{2}}}={{\left( \frac{27}{125} \right)}^{1/3}}=\frac{3}{5}\] Þ \[{{r}_{2}}=6\,Fermi\]


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