Question

Statement I : Two equipotential surfaces cannot cut each
other.
Statement II : Two equipotential surfaces are parallel to
each other.

Answer 1

Explanation:

l:No, it is not possible for two equipotential surfaces to intersect. This is because if two equipotential surfaces intersect, then there will be two values of potential at the point of intersection, which is not possible.

ll. Since, two equipotential surfaces can never be parallel to each other because there is no potential gradient along any direction parallel to the surface, and thus there is no electric field parallel to the surface. This means that the electric lines of force are always at right angles to the equipotential surface.