The correct option is B Unstable, Stable
It is given that, potential energy
U=2x3−3x2
dUdx=(6x2−6x)
Under equilibrium,
⇒6x(1−x)=0
⇒(x=0) & (x=1)
d2Udx2=ddx(6x2−6x)=12x−6
d2Udx2|at x = 0=−6<0→ (Unstable equilibrium)
d2Udx2|x=1=6>0→(Stable equilibrium)
Hence, option B is the correct answer.