NEET Physics Nuclear Physics And Radioactivity NEET PYQ-Nuclear Physics

  • question_answer
    If radius of the \[_{13}^{27}Al\] nucleus is taken to be \[{{R}_{Al}},\] then the radius of \[_{53}^{125}Te\] nucleus is nearly                                                                            [NEET  2015]

    A)  \[{{\left( \frac{53}{13} \right)}^{\frac{1}{3}}}{{R}_{Al}}\]      

    B)       \[\frac{5}{3}{{R}_{Al}}\]

    C)  \[\frac{3}{5}{{R}_{Al}}\]        

    D)       \[{{\left( \frac{13}{53} \right)}^{\frac{1}{3}}}{{R}_{Al}}\]

    Correct Answer: B

    Solution :

    Radius of the nucleus is given by
    \[R={{R}_{0}}{{A}^{1/3}}\Rightarrow R\propto {{A}^{1/3}}\]
    \[\frac{{{R}_{Al}}}{{{R}_{Te}}}={{\left( \frac{{{A}_{Al}}}{{{A}_{Te}}} \right)}^{1/3}}={{\left( \frac{27}{125} \right)}^{1/3}}=\frac{3}{5}\]
    \[{{R}_{Te}}=\frac{5}{3}{{R}_{Al}}\]


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