Question

Can be concluded if the electric field lines are closer together near object A than they are near object B.
(A) The potential near A is greater than the potential near B.
(B) The potential near A is less than the potential near B.
(C) The potential near A is equal to the potential near B.
(D) Nothing about the relative potentials near A and B.

Answer 1

Hint Electric field lines in an electric field are imaginary lines, the tangent to which, at any point, gives the direction of the electric field intensity. In simpler versions, it can be said, an electric field line is a path along which a positive charge would move, if it is free to do so.

Complete step by step answer
Electric field is a vector quantity whose direction is defined as the direction that a positive test charge would be pushed when placed in the field. Thus, the electric field direction about a positive source charge is always directed away from the positive source. And the electric field direction about a negative source charge is always directed toward the negative source.
Potential decreases in the direction of the electric field.

So it depends on whether the lines of forces are from A to B or from B to A

Note The electrostatic repulsion of like charges is most effective in moving them apart on the flattest surface, and so they become least concentrated there. This is because the forces between identical pairs of charges at either end of the conductor are identical, but the components of the forces parallel to the surfaces are different. The component parallel to the surface is greatest on the flattest surface and, hence, more effective in moving the charge. The same effect is produced on a conductor by an externally applied electric field. Since the field lines must be perpendicular to the surface, more of them are concentrated on the most curved parts.