Fluid mechanics — buoyancy versus displaced liquid: sinking condition A body is immersed in a liquid. Consider the buoyant force compared to the weight of the displaced liquid as per Archimedes’ principle. Choose the correct relation that (as stated) would lead to sinking.

Given data / concept
Archimedes’ principle states that the buoyant force always equals the weight of the displaced liquid: F_b = W_{displaced liquid}.

Clarification
The float/sink criterion compares the body’s weight (W_body) to the buoyant force: a body sinks if W_body > F_b, floats if equal, and rises if less. However, relative to the weight of displaced liquid, the buoyant force is always equal by definition (independent of sink or float).

Final Answer
equal to