A venturi meter shown having different areas of cross-section `A_1` and `A_2` at sections (1) and (2) is used to measure the flow rate of oil (density `rho_0`) with the help of differential manometer using mercury (density `rho_m`). Which of the following represents correctly the oil discharge rate?

(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.

Two rods of the same length and areas of cross-section A_1 and A_2 have their ends at the same temperature. K_1 and K_2 are the thermal conductivities of the two rods. The rate of flow of heat is same in both the rods if-

The vessel shown in the figure has a two sections of areas of cross-section A_1 and A_2 . A liquid of density rho fills both th sections, up to a height h in each Neglect atmospheric pressure. Choose the wrong option. .

Two rods having equal lengths and equal cross-sections but different specific resistances rho_(1)" and "rho_(2) are joined at one end as shown in the figure given above. What is the effective specific resistance of the combination ?

A conductor of uniform area of cross section A has a variable resistivity along its length. What will be the resistance of the conductor if rho=rho_0(1+alphax^2) , at length l.

Two rods of same length and areas of cross section A_1 and A_2 have their ends at same temperature. If K_1 and K_2 are their thermal conductivities, C_1 and C_2 their specific heats and rho_1 and rho_2 are their densities, then the condition that rate of flow of heat is same in both the rods is

The figure shown a pipe of uniform cross-section inclined in a vertical plane. A U-tube manometer is connected between the point A and B. If the liquid of density rho_(0) flows with velocity v_(0) in the pipe. Then the reading h of the manometer is

A plank of area of cross-section A is half immersed in liquid 1 of density rho and half in liquid 2 of density 2rho . What is period of osciallation of the plank if it is slightly depressed downwards?

A jar filled with two non-mixing liquid 1 and 2 having densities rho_(1) and rho_(2) respectively. A solid ball, made of a material of density rho_(3) is dropped in the jar. It come to equilibrium in the position shown in the figure. Which of the following is true for rho_(1),rho_(2) and rho_(3) ?