A cylinder of area `300 cm^(2)` and length 10 cm made of material of specific gravity 0.8 is floated in water with its axis vertical. It is then pushed downward, so as to be just immersed. Calculate the work done by the agent who pushes the cylinder into the water.

A cylinder of relative density 0.7 is 0.5 m high and the radius of its base is 1m . It floats in water with its axis vertical . Find the legth of the cylinder inside water. What force is needed to raise it by 1 cm ? Denstiny of water =1000 kg m^(-3)

A wire of length L metres, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in mm) upto which it can continue to float is (surface tension of water is T=70xx10^(-3)Nm^(-1) )

A solid cylinder of denisty rho_(0) , cross-section area A and length l floats in a liquid rho(gtrho_(0) with its axis vertical, as shown. If it is slightly displaced downward and released, the time period will be :

There is a leak proof cylinder of length 1m,made of a metal that has very low coefficient of expansion is floating vertically in water at 0^(@)C such that its height above the water surface is 20cm. If the temperature of water is increased to 4^(@)C , the height of the cylinder above the water surface becomes 21 cm. The density of water at T = 4^(@)C , relative to the density at T = 0^(@)C is approximately

An open cyclindrical container has a cross sectiional area A_(0)=150cm^(2) and water has been filled in it up to a height h. A cylinder made of wood (relative density=0.6) having cross sectional area A=125 cm^(2) and length 10cm is now placed inside the container with its axis vertical. Find the distance (x) of the base of the wooden cylinder from the base of the container in equilibrium for following three cases: (a) h=8cm (b) h=12cm (c) h=0.8cm

Calculate the work done when a system raises a colume of water of radius 5.0mm through 10cm .

A sperical ball of radius r and relative density 0.5 is floating in equilibrium in water with half of it immersed in water. The work done in pushing the ball down so that whole of it is just immersed in water is [ rho is the density of water]-

A hollow sphere of innder radius 9 cm and outer radius 10 cm floats half-submerged in a liquid of specific gravity 0.8. calculate the density of the material of which the sphere is made. What would be the density of a liquid in which the hollow sphere would just floats completely sumberged. ?