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.
Mechanical Engineering
Hydraulics and Fluid Mechanics
Difficulty: Easy
Choose an option
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Aequal to
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Bless than
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Cmore than
Answer
Correct Answer: equal to
Explanation
Given data / conceptArchimedes’ principle states that the buoyant force always equals the weight of the displaced liquid: Fb = Wdisplaced liquid.
ClarificationThe float/sink criterion compares the body’s weight (Wbody) to the buoyant force: a body sinks if Wbody > Fb, 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 Answerequal to