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In the graph shown the force F on a particle due to a conservative field is plotted against its position ‘x’ measured from origin. Which of the following statement is correct?

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$x_{2}$ is position of stable equilibrium

$x_{1}$ is position of stable equilibrium

$x_{2}$ is position of unstable equilibrium

$x_{3}$ is position of stable equilibrium

answer is C.

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Detailed Solution

For stable equilibrium the net force on the particle has to be zero and $\frac{d^{2} U}{d x^{2}} ⟩ 0$

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