The pressure of confined air is $p$. If the atmospheric pressure is $P$,then

Three identical vessels are filled with equal masses of three different liquids $A, B$ and $C$ $(\rho_A > \rho_B > \rho_C)$. The pressure at the base will be

$A$ triangular lamina of area $A$ and height $h$ is immersed in a liquid of density $\rho$ in a vertical plane with its base on the surface of the liquid. The thrust on the lamina is

The density changes with pressure for which fluid? Give reason.

$A$ bubble from the bottom of a lake rises to its surface. Its volume doubles in the process. Assuming isothermal conditions, atmospheric pressure $= 75 \, cm$ of $Hg$, and the ratio of the densities of mercury and water $= 40/3$. The depth of the lake will be ..... $m$.

$A$ thin uniform tube is bent into a circle of radius $r$ in the vertical plane. Equal volumes of two immiscible liquids,whose densities are ${\rho _1}$ and ${\rho _2}$ $({\rho _1} > {\rho _2})$,fill half the circle. The angle $\theta$ between the radius vector passing through the common interface and the vertical is