Navjyot Kalra
Last Activity: 10 Years ago
The correct option is (A), (B) and (D).
Since the particle oscillates about the equilibrium position x0, therefore the potential energy U(x) must be symmetric about x0. Thus option (A) is correct.
The force and potential energy is related by Fx(x) = -dU/dx. The force must always act to restore the particle to equilibrium, and the potential energy must have a minimum at the equilibrium position. Thus option (B) is correct.
Since the particle oscillates about the equilibrium position x0, so the potential energy U(x) must be symmetric about x0 and the potential energy must have a minimum value at the equilibrium position. Therefore U(x) must be positive in the vicinity of x0. Thus option (D) is correct.