The electric field $\vec E = {E_0}y\hat j$ acts in the space in which a cylinder of radius $r$ and length $l$ is placed with its axis parallel to $y-$ axis. The charge inside the volume of cylinder is 

  • A

    ${E_0}{\varepsilon _0}\frac{{{l^2}}}{2}$

  • B

    ${E_0}{\varepsilon _0}\pi {r^2}{l^2}$

  • C

    ${E_0}{\varepsilon _0}\pi {r^2}l$

  • D

    $2{E_0}{\varepsilon _0}\pi {r^2}l$

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