Question

When a body is weighted in a liquid, the loss in its weight depends upon:

• A. volume of the fluid displaced by the body.
• B. mass of the body
• C. shape of the body
• D. CG of the body

Answer 1

The correct option is A volume of the fluid displaced by the body.

When a body is placed in a liquid, it experiences an upward thrust. This upward thrust is known as the buoyant force. According to the Archimedes' principle, this force is equal to the weight of the fluid that the body displaces.

Hence, the net force experienced by the body will be

$F_{net}=F_{weight}-F_{upthrust}$

Hence, the loss in its weight depends upon the buoyant force acting on the body.

Since, buoyant force is given by , $F_b={\rho }_{l}Vg$, where $V$ is the volume of the fluid displaced.

Hence, loss in its weight depends upon the volume of the fluid displaced