
Consider a liquid (density ) column of height contained in a cylinder of cross section area There is a piston of mass above the liquid as shown. If (atmospheric pressure) and , then velocity of efflux from the narrow hole at bottom, is , the value of is _____.



Important Questions on Mechanical Properties of Fluids
Vessel is accelerated vertically upward with acceleration If value of is , then the value of is _____.

A container is accelerating with acceleration along the direction as shown below. The angle (in degree) made by the liquid surface with the vertical wall of the container, is _____.

A soap film is formed on a triangular wire frame having two fixed and one movable side. The free side is moved with a constant acceleration Take side length to be zero at as shown. If the surface tension is constant and is the surface potential energy of the soap film then , the value of is _____.

A solid cylinder of length is in equilibrium in two different liquids and as shown in the figure. If density of the cylinder is , then value of is and are co-prime numbers) (Density of liquid and density of liquid )


A closed hemisphere of radius is placed inside a container having liquid of density up to the height from its flat surface as shown. Then force on curved surface of hemisphere due to liquid will be

A massless vessel containing liquid is placed over smooth horizontal surface. At the bottom of the vessel there exist a hole of cross-sectional area Liquid is flowing out horizontally from the vessel due to which the vessel (cross-sectional area ) accelerate. What is the acceleration (approximately) of the vessel when half of the liquid is drained out from the vessel? ( acceleration due to gravity)

Consider a small soap bubble inside a large container having soap solution. Force due to half of soap bubble on half due to surface tension will be (radius of bubble)
