
In order that a floating object be in a stable equilibrium, its centre of buoyancy should be _____.

Important Questions on Properties of Solid and Liquid
A cylindrical vessel contains a liquid of density up to a height . The liquid is closed by a piston of mass and area of cross-section . There is a small hole at the bottom of the vessel. The speed with which the liquid comes out of the hole is

Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure at points along the axis is represented by

A cylindrical tank has a hole of in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of then the maximum height up to which water can rise in the tank is :


A cylindrical container of radius and height is completely filled with a liquid. Two horizontal shaped pipes of a small cross-section area are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:

The velocity of the liquid coming out of a small hole of a large vessel containing two different liquids of densities and as shown in the figure is

A long capillary tube of mass radius and negligible thickness, is partially immersed in a liquid of surface tension Take angle of contact zero and neglect the buoyant force of liquid. The force required to hold the tube vertically is newton. Find

If is dissolved into water, then its surface tension
