If the potential energy between two molecules is given by $$U = \frac{A}{r^6} + \frac{B}{r^{12}}$$, then at equilibrium, separation between molecules, and the potential energy are:

A

$$\left(\frac{B}{2A}\right)^{1/6}$$, $$-\frac{A^2}{2B}$$

B

$$\left(\frac{B}{A}\right)^{1/6}$$, 0

C

$$\left(\frac{2B}{A}\right)^{1/6}$$, $$\frac{A^2}{4B}$$

D

$$\left(\frac{B}{2A}\right)^{\frac{1}{6}}$$, $$\frac{A^2}{2B}$$