$(a)$ Name the two factors on which the buoyant force depends.
$(b)$ State the relationship between the buoyant force on an object and the weight of the liquid displaced by it.

(N/A) The buoyant force depends on the following two factors:
$1$. The volume of the object submerged in the fluid.
$2$. The density of the fluid.
$(b)$ According to Archimedes' principle, the buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. Therefore, $\text{Buoyant force} = \text{Weight of the fluid displaced}$.