1) The potential energy (V(r)) between a pair of neutral atoms or molecules is very wellapproximated by the Lennard-Jones Potential, given by the expression: V(r)=4e[(rc)12(ro)6] where E and are constants, and r is the distance between the molecules. The potential energy is plotted in the figure below: (a) At what separation distance, in terms of and , is the potential energy zero? ( 30 points) (b) Why does the potential energy approach zero as the distance gets bigger? ( 30 points) (c) What is the equilibrium distance? What is the potential energy at equilibrium distance? (Express your answers in terms of and .) ( 30 points)