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 article moves away from the origin then at position `x = x_(1)` force is zero and at `x gt x_(1)` force is positive (repulsive in nature) so partical moves further and does not return back to origin position.
i.e. the requilibrium is not stable.
So partical return back to original position i.e. the equilirium is table.