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 \[{{x}_{2}}\]
Correct Answer: B
Solution :
When particle moves away from the origin then at position \[x={{x}_{1}}\] force is zero and at \[x>{{x}_{1}},\] 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 \[x>{{x}_{2}},\] force is negative (attractive in nature) So particle return back to original position i.e. the equilibrium is stable.
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