J & K CET Engineering J and K - CET Engineering 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 \[1\text{ }m\]. The electric flux through the sphere is

    A)  \[0.2\,\,N{{C}^{-1}}\,{{m}^{2}}\]   

    B)  \[0.1\,\,N{{C}^{-1}}\,{{m}^{2}}\]

    C)  \[0.3\,\,N{{C}^{-1}}\,{{m}^{2}}\]     

    D)  \[0.01\,\,N{{C}^{-1}}\,{{m}^{2}}\]

    Correct Answer: C

    Solution :

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


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