A piece of wire is bent in the shape of a parabola `y = kx^(2)` (y-axis vertical) with a bead of mass 'm' on it. The bead can slide on the wire without friction. The wire is now accelerated parallel to the x-axis where the with an acceleration'a'. The distance of the new equilibrium position of the bead is `a/(xgk)` where the bead can stay at rest with respect to the wire from y-axis. The value of x' is

Answer

2