Which graph best represents the relationship between the magnitude of the electrostatic force and the distance between two oppositely charged particles?

Graph can be used to represents anything. The graph that best represents the relationship between the magnitude of the electrostatic force and the distance between two oppositely charged particles is Graph (4).

When one Increase the separation distance between objects, it will lead to a decrease in the force of attraction or repulsion between the objects.

In the graph, you can see that  F is gradually going to 1 / 0 = ∞ when r approaches to 0. The right graph to select will have an hyperbola shape.

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Graph (4), which resembles part of a hyperbola.

By the Coulomb's Law,

F = k · (q₁ · q₂) / r²

where

The force becomes weaker as the two particles move apart.

Besides, F approaches 1 / 0 = ∞ when r approaches to 0. F is infinitely strong when there's no separation between the two particles. As a result, the graph of Force about Distance shall never touch the force axis. The correct graph will look like a branch of a hyperbola, as in the fourth choice.

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