An ideal fluid flows in the pipe as shown in the figure. The pressure in the fluid at the bottom `P_(2)` is the same as it is at the top `P_(1)`. If the velocity of the top `v_(1) = 2 m//s`. Then the ratio of areas `A_(1).A_(2)`, is

(i) Air (density= rho ) flows through a horizontal venturi tube that discharges to the atmosphere. The area of cross section of the tube is A_(1) and at the constriction it is A_(2) . The constriction is connected to a water (density =rho_(0) ) tank through a vertical pipe of lenght H. Find the volume flow rate (Q) of the air through tube that is needed to just draw the water into the tube. (ii) A non viscous liquid of constant density rho flows in a stremline motion along a tube of variable cross section. The tube is kept inclined in the vertical plane as shown in the figure. The area of cross section of the tube at two points P and Q at heights of h_(1) and h_(2) are respectively A_(1) and A_(2) . The velocity of the liquid at point P is v. Find the work done on a small volume DeltaV of fluid by the neighbouring fluid as the small volume moves from P to Q.

The pressure P_(1) at the top of a dam and P_(2) at a depth h from the top inside water (density rho ) are related as :

A liquid flows in a tube from left to right as shown in figure. A_(1) and A_(2) are the cross-section of the portions of the tube as shown. Then the ratio of speeds v_(1)//v_(2) will be

A liquid flows in a tube from left to right as shown in figure. A_(1) and A_(2) are the cross-section of the portions of the tube as shown. Then the ratio of speeds v_(1)//v_(2) will be

A liquid flows in a tube from left to right as shown in figure. A_(1) and A_(2) are the cross-section of the portions of the tube as shown. Then the ratio of speeds v_(1)//v_(2) will be

In the situation shown , the readings of ideal ammeters A_(1) and A_(2) are in the ratio.

An ideal fluid flows through a pipe of circular cross - section with diameters 5 cm and 10 cm as shown in the figure. The ratio of velocities of fluid at A and B is

An ideal fluid flows through a pipe of circular cross - section with diameters 5 cm and 10 cm as shown in the figure. The ratio of velocities of fluid at A and B is

A large tank of (height h_(1)=4m ) water has a hose connected to it,as shown in figure.The tank is sealed at the top and has compressed air between the water surface and the top.When the water height h_(2) is 3m ,the gauge pressure of air P_(1)=10^(5)N/m^(2) .Assume that the air above the water surface expands isothermally. The velocity of flow,out of the hose when h_(2) has decreased to 2m is sqrt(xg) . Assume ideal fluid flow and P_(atm )=10^(5)N/m^(2) .The value of x is (Neglect viscosity of liquid)