The force acting on a body moving along x-

Your Ultimate Guide to JEE & NEET Question Solutions

The force acting on a body moving along $x-$axis varies with the position of the particle as shown in the fig.The body is in stable equilibrium at

A

$x = {x_1}$

B

$x = {x_2}$

C

both ${x_1}$ and ${x_2}$

D

neither ${x_1}$ nor ${x_2}$

The force acting on a body moving along $x-$axis varies with the position of the particle as shown in the fig.The body is in stable equilibrium at

When particle moves away from the origin then at position $x = {x_1}$ force is zero and at $x > {x_1},$ 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 $x > {x_2},$ force is negative (attractive in nature)
So particle return back to original position i.e. the equilibrium is stable.