Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The necessary condition for a stable equilibrium of a particle moving along 
-axis in a conservative field region is: (Symbols have their usual meaning)
A
and 
B
and 
C
and 
D
and 
Text Solution
Verified by ExpertsThe correct answer is:
A
For a particle to be in equilibrium, the net force acting on it must be zero.
i.e., 
For the equilibrium to be stable, the potential energy is at a local minimum. Mathematically, a local minimum of a function occurs when its second derivative is positive. Thus, for stable equilibrium, 
.
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