Final answer:
The correct formula for buoyant force (FB) when an object is submerged in water is FB = rhoVg, adhering to Archimedes' principle stating that the buoyant force is equal to the weight of the displaced fluid.
Step-by-step explanation:
The formula that represents the buoyant force (FB) for an object submerged in water is FB = rhoVg. This formula is a statement of Archimedes' principle, which tells us that the buoyant force is equal to the weight of the fluid displaced by the object. Here, rho represents the density of the fluid, V is the volume of the object that is submerged, and g is the acceleration due to gravity.
According to this principle, FB must equal the weight of the fluid displaced (wfl), which can be represented by the formula FB = wfl. The weight of the fluid is its mass (m) times gravity (g), and since the mass of the fluid is its density (rho) times its volume (V), we have the formula FB = rhoVg. This is the correct equation as provided in the option (a).