Two Identical Cylindrical Vessels, Each Of Base Area A, Have Their Bases At The Same Horizontal Level. They Contain A Liquid Of Density . In One Vessel The Height Of The Liquid Is h1 and In The Other h2 > h1. When The Two Vessels Are Connected, The Work Done By Gravity In Equalizing The Levels Is

The dimensions of viscosity in terms of M, L and T are

The dimensions of Reynold’s number are

A rain drop of radius r falls in air with a terminal speed v_t. What is the terminal speed of a rain drop of radius 2r? 

Eight spherical rain drops of the same mass and radius are falling down a terminal speed of 6 cms^–1. If they coalesce to form one big drop, what will be its terminal speed? Neglect the buoyancy due to air.

Water flows steadily through a horizontal pipe of a variable cross-section. If the pressure of water is p at a point where the velocity of flow is v, what is the pressure at another point where the velocity of flow is 2v;  being the density of water?    

The cylindrical tube of a spray pump has a radius R, one end of which hasn fine holes, each of radius r. If the speed of flow of the liquid in the tube is V, the speed of ejection of the liquid through the holes is 

In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the lower and upper surfaces of the wing are v and  respectively. If the density of air is  and the surface area of the wing is A, the dynamic lift on the wing is given by     

A piece of copper having an internal cavity weights 264 g in air and 221 g in water. The density of copper is 8.8 gm^–3. What is the volume of the cavity?

A stone of relative density k is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in water with an acceleration of 

A cylindrical jar has radius r. To what height h should it be filled with a liquid so that the force exerted by the liquid on the sides of the jar equals the force exerted on the bottom?