The force F needed to support the liquid of density `rho` and the vessel on it, in figure, is

A composite plate comprises a triangular area (1) and rectangular area (2) as shown in the figure. The triangular plate experiences forces due to the liquids of densities rho_(1) and the rectangular plate experiences the force due to liquid of density rho_(2) . Find the hydrostatic forces on (a) area 1 , (b) area 2 , (c) total composite area of the plate. Assume rho_(1)=rho and rho_(2)=2rho .

The velocity of the liquid coming out of a small hole of a vessel containing two different liquids of densities 2rho and rho as shown in the figure is

A metal sphere connected by a string is dipped in a liquid of density rho as shown in figure. The pressure at the bottom of the vessel will be, (p_(0) =atmospheric pressure )

A vessel is filled with two different liquids of densities rho and 2 rho respectively as shown in the figure. The velocity of flow of liquid through a hole at height (h)/(2) from bottom is

An object with uniform density ρ is attached to a spring that is known to stretch linearly with applied force as shown below. When the spring-object system is immersed in a liquid of density rho_(1) as shown in the figure, the spring stretches by an amount x_(1)(rho gt rho_(1)) . When the experiment is repeated in a liquid of density rho_(2) gt rho_(1) , the spring stretches by an amount x_(2) . Neglecting any buoyant force on the spring, the density of the object is

Consider a solid cylinder of the density rho_(s) cross section area A and h ploating in a liquid of density rho_(l) as shown in figure (rho_(l) gt rho_(s)) . It is depressed sligtly and allowed to oscillation.

Consider a regular tank of size (lxxb) filled with a liquid of density rho to a height H as shown in figure. Find the force at the base and on the wall of the tank.

Equal volumes of two immiscible liquids of densities rho and 2 rho are filled in a vessel as shown in figure. Two small holes are punched at depth h/2 and 3h/2 from the surface of lighter liquid. If v_(1) and v_(2) are the velocities of efflux at these two holes then ((v_(2))/(v_(1)))^(2) is

A horizontal tube of uniform cross-sectional area A is bent in the form of U as shown in figure. If the liquid of density rho enters and leaves the tube with velcity v, then the extermal force F requried to hold the bend stationary is

A body of density rho floats with a volume V_(1) of its total volume V immersed in one liquid of density rho_(1) and with the remainder of volume V_(2) immersed in another liquid of density rho_(2)," ""where"" "rho_(1)gt rho_(2). Find the relative volumes immersed in two liquids.