A particle with total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when
A particle free to move along the x-axis has potential energy given by U(x)=k(1−e−x2) For −∞<x<∞, where k is a positive constant of appropriate dimensions. Then
A particle oscillates about the equilibrium position x0 subject to a force that has an associated potential energy U(x). Which of the following statements about U(x) is/are true: