J & K CET Medical J & K - CET Medical Solved Paper-2011

  • question_answer
    An electric charge of \[8.85\times {{10}^{-13}}C\] is placed at the centre of a sphere of radius 1 m. The electric flux through the sphere is

    A)                  \[o.2N{{C}^{-1}}{{m}^{2}}\]                       

    B)  \[o.1N{{C}^{-1}}{{m}^{2}}\]

    C)                 \[o.3N{{C}^{-1}}{{m}^{2}}\]                        

    D)  \[o.01N{{C}^{-1}}{{m}^{2}}\]

    Correct Answer: C

    Solution :

                     Electric flux, \[\phi =E.A\] \[\phi =\frac{1}{4\pi {{\varepsilon }_{0}}}\times \frac{q}{{{r}^{2}}}.4\pi {{r}^{2}}=\frac{4\pi p}{4\pi {{\varepsilon }_{0}}}\] \[=9\times {{10}^{9}}\times 8.85\times {{10}^{-13}}\times 4\times \frac{22}{7}\] \[=0.1\,N{{C}^{-1}}{{m}^{2}}\]


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