A Cylinder Has A Radius r. To What Height h should It Be Filled With Water So That The Thrust On Its Walls Is Equal To That On Its Bottom?  

The work done to break up a drop of a liquid of radius R and surface tension  into eight drops, all of the same size, is 

A soap bubble of radius r is blown up to form a bubble of radius 2r under isothermal conditions. If  is the surface tension of soap solution, the energy spent in doing so is  

If the air bubble is formed at a depth h inside the container of soap solution of density , the total pressure inside the bubble is (here P₀denotes the atmospheric pressure) 

A small drop of water of surface tension  is squeezed between two clean glass plates so that a thin layer of thickness d and area A is formed between them. If the angle of contact is zero, the force required to pull the plates apart is 

Eight drop of water, each of radius r, coalesce to form a single big drop. The energy released is used up in raising the temperature of the big drop. If is the surface tension of water and  its density and J the mechanical equivalent of heat (all expressed in SI units), the rise in the temperature of the drop is 

Water rises to a height h in a capillary tube of area of cross-section a. To what height will water rise in a capillary tube of area of cross-section 4a?

A metal sphere of volume V, having a cavity inside it, floats on water completely submerged. If the relative density of the metal is 1.5, the volume of the cavity is   

The terminal velocity of a tiny brass sphere of radius r falling in a viscous liquid is v_r. What will be the terminal velocity of a brass sphere of radius 2rfalling in the same liquid. 

A spherical small ball of density  is gently released in a liquid of density . The initial acceleration of the free fall of the ball will be

The time period of a simple pendulum is T. The pendulum is oscillated with its bob immersed in a liquid of density . If the density of the bob is  and viscous effect is neglected, the time period of the pendulum will be