A uniformly tapering vessel is filled with a liquid of density $900 kg/m^3.$  The force that acts on the base of the vessel due to the liquid is ......... $N$. $(g = 10\,m{s^{ - 2}})$

A $U-$ tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density $13.6 g/cm^3$). The level of mercury in the narrow limb is at a distance of $36 cm$  from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water ........ $cm$

A cube of ice has a iron piece fronzen unside at. The cube floats un a beakerfilled with water, when the ice melts then, the level of water in beaker.

If pressure at half the depth of a lake is equal to $2/3$ pressure at the bottom of the lake then what is the depth of the lake ........ $m$

A liquid is kept in a cylindrical vessel. When the vessel is rotated about its axis, the liquid rises at its sides. If the radius of the vessel is $0.05\,\, m$ and the speed of rotation is $2$ revolutions per second, the difference in the heights of the liquid at the centre and at the sides of the vessels will be ...... $cm.$ $($ take $g = 10\,\, ms^{-2}$ and $\pi^2 = 10)$

A jet of water with cross section of $6$ $cm^2$ strikes a wall at an angle of $60^o $ to the normal and rebounds elastically from the wall without losing energy. If the velocity of the water in the jet is $12$ $m/s$, the force acting on the wall is ....... $N$