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NEET Sample Paper NEET Sample Test Paper-8

  • question_answer
    The inward and outward electric flux for a closed surface in units of \[N{{m}^{2}}/c\] arc respectively \[8\times {{10}^{3}}N-{{m}^{2}}/C\] and \[4\times {{10}^{-3}}N-{{m}^{2}}/C\]. Then, the total charge inside the surface is:

    A)  \[4\times {{10}^{3}}C\]           

    B)  \[-4\times {{10}^{3}}C\]

    C)  \[\frac{-4\times {{10}^{3}}}{{{\varepsilon }_{0}}}C\]               

    D)  \[-(4\times {{10}^{3}}){{\varepsilon }_{0}}C\]

    Correct Answer: D

    Solution :

    \[\Delta \,\phi =4\times {{10}^{3}}-8\times {{10}^{3}}\] \[=-4\times {{10}^{3}}N-{{m}^{2}}/C\] According to Gauss's law Net flux through a closed, surface, \[\Delta \phi =\frac{1}{{{\varepsilon }_{0}}}q\]inside             \[\Rightarrow \]                \[q=-(4\times {{10}^{-3}}){{\varepsilon }_{0}}C\]


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