MGIMS WARDHA MGIMS WARDHA Solved Paper-2011

  • question_answer
    The radius of nucleus of silver (atomic number =47) is \[3.4\times {{10}^{-14}}m.\]The electric potential on the surface of nucleus is \[(e=1.6\times {{10}^{-19}}C)\]

    A) \[1.99\times {{10}^{6}}V\]                          

    B)  \[2.9\times {{10}^{6}}V\]

    C)  \[4.99\times {{10}^{6}}V\]                         

    D)  \[0.99\times {{10}^{6}}V\]

    Correct Answer: A

    Solution :

                     Charge on nucleus \[q=Ze=47\times 1.6\times {{10}^{-19}}\]                 \[=7.52\times {{10}^{-18}}C\] Potential at the surface of the nucleus \[V=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{q}{r}\] \[=\frac{9\times {{10}^{9}}\times 7.52\times {{10}^{-18}}}{3.4\times {{10}^{-14}}}\] \[=1.99\times {{10}^{6}}V\]        


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