Two small, charged lipid vesicles in an aqueous suspension carry charges q1 q_1\,q1 and q2 q_2\,q2 and are separated by a distance rrr. The electrostatic force of repulsion between them is FFF.
Due to a change in the pH of the medium, the charge on the first vesicle is doubled, the charge on the second vesicle is tripled, and their separation distance increases by 50%.
What is the magnitude of the new electrostatic force between the vesicles in terms of FFF?
43F\frac{4}{3}F34F
89F\frac{8}{9}F98F
4F4F4F
83F\frac{8}{3}F38F