$A$ metal cube is given a positive charge $(+Q)$. Which of the following statements is true?

  • A
    The potential at the surface of the cube is zero.
  • B
    The potential inside the cube is zero.
  • C
    The electric field is tangent to the surface of the cube.
  • D
    The electric field varies inside the cube.

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Two isolated metallic solid spheres of radii $R$ and $2R$ are charged such that both have the same charge density $\sigma$. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is $\sigma^{\prime}$,then the ratio $\frac{\sigma^{\prime}}{\sigma}$ is:

Under electrostatic condition of a charged conductor,which among the following statements is true?

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