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NEET Sample Paper NEET Sample Test Paper-67

  • question_answer
    The nuclear radius of a nucleus with nucleon number 16 is \[3\times {{10}^{-15}}\,metre\]. Then the nuclear radius of a nucleus with nucleon number 128 is                                                                                        

    A) \[3\,\,\times \,\,{{10}^{-15}}\,m\]          

    B) \[1.5\,\,\times \,\,{{10}^{-15}}\,m\]

    C) \[6\,\,\times \,\,{{10}^{-15}}\,m\]                      

    D) \[4.5\,\,\times \,\,{{10}^{-15}}\,m\]

    Correct Answer: C

    Solution :

    Radius R of a nucleus changes with the nucleon number A of the nucleus as \[R=1.3\times {{10}^{-15}}\,\times {{A}^{1/3}}\,metre\] \[Hence\,\,\frac{{{R}_{2}}}{{{R}_{1}}}{{\left( \frac{{{A}_{2}}}{{{A}_{1}}} \right)}^{1/3}}\,=\,\,{{\left( \frac{128}{16} \right)}^{1/3}}\,=\,\,{{(8)}^{1/3}}\,=\,\,2\]


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