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 sphere made of a material of specific gravity 8 has a concentric spherical cavity and just sinks in water. Calculate the ratio of the radius of the cavity to that of the outer radius of the sphere.

A cylindrical piece of cork of height 4.9 cm floats in water with its axis vertical and is made to execute slın. Calculate its time period of oscillation if its density is 0.2 gm/cc ?

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, . If it is slightly displaced downward and released, the time period will be :

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' meters, made of a material or 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 millimeters) up to which it can continue to float is (surface tension of water is T = 70 xx 10^(-3) Nm^(-1) )