A particle free to move along the -axis has potential energy given by for
PHYSICS · Single correct · CBSE · Physics · Work and Energy · Work and Energy
Problem
A particle free to move along the x -axis has potential energy given by U(x)=k[1−exp(−x2)] for −∞≤x≤+∞ , where k is a positive constant of appropriate dimensions. Then
(1) at points away from the origin, the particle is in unstable equilibrium
(2) for any finite nonzero value of x , there is a force directed away from the origin
(3) if its total mechanical energy is k/2 , it has its minimum kinetic energy at the origin.
(4) for small displacements from x=0 , the motion is simple harmonic