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Q.

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

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a

x=x1

b

x=x2

c

both x1 and x2

d

neither x1 nor x2

answer is B.

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Detailed Solution

When particle moves away from the origin then at position x=x1 force is zero and at x>x1, 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=x2 force is zero and at x>x2,  force is negative (attractive in nature)So particle return back to original position i.e. the equilibrium is stable.
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