Question

$A$ and $B$ are two metallic pieces. They are fully immersed in water and then weighed. Now they show same loss of weight. The conclusion therefore is:

• A. $A$ and $B$ have same weight in air
• B. $A$ and $B$ have equal volumes
• C. The densities of the materials of $A$ and $B$ are the same
• D. $A$ and $B$ are immersed to the same depth inside water.

Answer 1

The correct option is B $A$ and $B$ have equal volumes

Same loss of weight implies equal buoyant forces on the object which is equal to weight of liquid displaced i.e. both the bodies have equal volumes.