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

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$Both x_{1} and x_{2}$

Neither at $x_{1} nor at x_{2}$

$x = x_{1}$

$x = x_{2}$

answer is B.

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Detailed Solution

At both $x = x_{1} and x = x_{2}$ is zero but at $x = x_{1}$ if displacement is positive the force is also positive. This is unstable equilibrium

at $x = x_{2}$ if displacement is negative, force is positive hence , it is at stable equilibrium

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