A particle which constrained to move along X – axis is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = – kx + ax^2 . Here, k and a are positive constant. for x ≥ 0, functional form of the potential energy U(x) of the particle is

Q: A particle which constrained to move along X – axis is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = – k x + a x² . Here, k and a are positive constant. for x ≥ 0, functional form of the potential energy U(x) of the particle is

Ans: (d)