JEE Main & Advanced Sample Paper JEE Main Sample Paper-20

  • question_answer
    Consider Gauss's law\[\oint{{\vec{E}}}.\overrightarrow{d.A}=\frac{q}{{{\varepsilon }_{0}}}\]. Which of the following is true?

    A)  \[\vec{E}\] must be the electric field due to the enclosed charge

    B)  If net charge inside the Gaussian surface \[=0,\] then \[\vec{E}\] must be zero everywhere over the Gaussian surface.

    C)  If the only charge inside the Gaussian surface is an electric dipole, then the integral is zero.

    D)  E is parallel to \[\overrightarrow{dA}\] everywhere over the Gaussian surface.

    Correct Answer: C

    Solution :

     \[\phi =\frac{{{Q}_{net}}}{{{\varepsilon }_{0}}}\] For dipole \[{{Q}_{net}}=0\Rightarrow \phi =0\]


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