bacteriorhodopsin pumps H+ into the vesicle when illuminated with light.
Uncoupling agent will transport H+ from the vesicle to the outside, the uncoupling agent can dissipate the H+ gradient by transporting H+ from higher concentration to lower concentration.
F0F1 ATPase can synthesize ATP using the energy of H+ gradient, which is H+ from the vesicle is transported via the F0 component inserted into the membrane to outside using the energy released ATP is made from ADP and Pi.
the vesicle without uncoupler can produce H+ gradient and can synthesize ATP from ADP and Pi, but in the vesicle, with uncoupler, the H+ gradient cannot be produced so ATPs cannot be produced.
so the answer is C) the set without uncoupling agent will pump protons and generate ATP, while the set with uncoupling agent will pump protons but will not generate ATP.
You have generated two sets of vesicles, both with bacteriorhodopsin (which pumps protons out of bacteria...