| The force acting on a body moving along x-axis varies with the position of the particle as shown in the figure. The body is in stable equilibrium at: |
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A) \[x={{x}_{1}}\]
B) \[x={{x}_{2}}\]
C) both \[{{x}_{1}}\]and \[{{x}_{2}}\]
D) neither \[{{x}_{\text{1}}}\]nor \[{{x}_{2}}\]
Correct Answer: B
Solution :
[b] If a particle at \[{{x}_{1}}\] is displaced slightly towards left or right the force is in the same direction. Hence the equilibrium is unstable. Whereas at \[{{x}_{2}}\] the force is directed opposite to displacement.
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