Question

The three vessels shown in figure have same base area. Equal volumes of a liquid are poured into the three vessels. The force on the base will be

• A. Maximum in vessel $A$
• B. Maximum in vessel $B$
• C. Maximum in vessel $C$
• D. Equal in all the vessels

Answer 1

The correct option is C Maximum in vessel $C$


If the equal volume of liquid is poured in the vessels, then clearly
$h_C>h_B>h_A$
And since we know that,
$P=\rho gh\Rightarrow P\propto h$
So, pressure at the bottom will be
$P_C>P_B>P_A$
Now, since the base area of these vessels are same, and
$F=P\times A$
$\Rightarrow P_{C}A>P_{B}A>P_{A}A$
$\Rightarrow F_C>F_B>F_A$
Hence, the force on the base will be maximum in vessel $C$.