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The force acting on a body moving along ...

The force acting on a body moving along x-axis variation of the particle particle shown in the figure. 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`

Text Solution

Verified by Experts

The correct Answer is:
B
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.
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