The figure shows the vertical cross-section of a vessel filled with a liquid of density $\rho$. The normal thrust per unit area on the walls of the vessel at the point $P$,as shown,will be

What does it mean when the height of a barometer is falling?

The pressure at half the depth of a lake is $2/3$ of the pressure at its bottom. What is the depth of the lake in $m$?

$A$ barometer kept in an elevator reads $76 \, cm$ when it is at rest. If the elevator goes up with some acceleration, the reading will be .......... $cm$.

As the depth increases in a vessel filled with liquid, the pressure ..........

Consider the wall of a dam to be straight with height $H$ and length $L$. It holds a lake of water of height $h$ $(h < H)$ on one side. Let the density of water be $\rho_w$. Denote the torque about the axis along the bottom length of the wall by $\tau_1$. Denote also a similar torque due to the water up to height $h/2$ and wall length $L/2$ by $\tau_2$. Then $\tau_1 / \tau_2$ (ignore atmospheric pressure) is