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The given plot shows the variation of potential energy of interaction between two particles with distance between them. (Particles are placed in isolated space)

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Mutual force between the particles is repulsive when distance between them is more than $x_{1}$ but less than $x_{2}$

Equilibrium is stable at $x_{1}$

Mutual force acting on the particles is zero when distance between them is $x_{1}$

Mutual force acting on the particles is zero when distance between them is $x_{2}$

answer is A, B, D.

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Detailed Solution

$F = \frac{d U}{d x}$

Therefore, mutual force is zero where the slope of the curve is zero.

Since potential energy is minimum at $x_{1}$ , they will be at stable equilibrium.

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