A particle free to move along the (x - axis) hsd potential energy given by `U(x)= k[1 - exp(-x^2)] for -o o le x le + o o`, where (k) is a positive constant of appropriate dimensions. Then.

Options

A. At point away from the origin, the particle is in unstable equilibrium
B. For any finite non-zero ,value of x, there is force directed away from the origin
C. If its total mechanical energy if K/2, it. has its minimum ri at the origin
D. None of these

Answer

D