A large vessel of height $H$, is filled with a liquid of density $\rho$, upto the brim. A small hole of radius $r$ is made at the side vertical face, close to the base. The horizontal force is required to stop the gushing of liquid is ...........
$\rho g H \pi r^2$
$\rho g H$
$\rho g H \pi r$
$\rho g \pi r^2$
Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $P_0$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude
What does it mean when a height of a barometer is falling ?
A barometer kept in a stationary elevator reads $76 cm$. If the elevator starts accelerating up the reading will be
Figure here 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
Two cylindrical vessels of equal cross-sectional area $16\,cm ^{2}$ contain water upto herghts $100\,cm$ and $150\,cm$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is $......J$ [Take density of water $=10^{3}\,kg / m ^{3}$ and $g =10\,ms ^{-2}$ ]