Two copper vessels $A$ and $B$ have the same base area but of different shapes. A takes twice the volume of…
Two copper vessels $A$ and $B$ have the same base area but of different shapes. A takes twice the volume of water as that $B$ requires to fill upto a particular common height. Then the correct statement among the following is:
Pressure on the base area of vessels A and B is same.
Pressure on the base area of vessels A and B is not same.
Both vessels A and B weigh the same.
Vessel B weighs twice that of A.
Solution
Pressure, $\mathrm{P}=h \rho g$
In above equation, $\rho$ represents density of water, $g$ represents acceleration due to gravity and $h$ is the height of the vessel.
As both vessels have same height and containing water, then densities are also same. Hence, the pressure on the base area of vessels $A$ and $B$ is same.