The force acting on a body moving along x-axis varitian of the particle particle shown in the figure. The body is in stable equlilbrium at
.

Options

A. `x=x_1`
B. `x=x_2`
C. both `x_1` and `x_2`
D. neither `x_1` nor `x_2`

Answer

B

Explanation

When particle moves aways from the origin then at position `x=x_1` force is zero and at `xgtx_1`, force is positive (repulsive in nature) so particle moves further and does not return back to original position. i.e. the equilibrium is not stable. Similarly at position `x=x_2` force is zero and at `xgtx_2`, force is negative (attractive in nature) So particle returns back to original position i.e. The equilibrium is stable.