A lactometer whose mass is 0.2kg is floating vertically in a liquid of relative density 0.9. Area of cross-section of the mariked portion of lactometer in `0.5xx10^(-4)m^(2)`. If it is dipped down in the liquid slightly and released, what type of motion will it execute? what will be its time-period?

A block of silver of mass 4 kg hanging from a string is immersed in a liquid of relative density 0.72 . If relative density of silver is 10 , then tension in the string will be

A silver ingot weighing 2.1 kg is held by a string so s to be completely immersed in a liquid of relative density 0.8 . The relative density of silver is 0.5 . The tension in the string in kg-wt is

A block of mass 5 kg and volume 0.05"m"^(3) floats in a liquid of density 140 "kg m"^(-3) . The fraction of block inside liquid is

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 :

A U-tube of uniform cross-section holds 1 kg of pure mercury and 0.2 kg of water in equilibrium. The diameter of cross-section is 1.2 cm. Relative density of mercury is 13.6. If the system in equilibrium is slightly disturbed, the period of oscillation of the liquid column in the tube will be (take g=10ms^(-2) )

A steel ball of radius 2 mm and of relative density 8.2 is falling through a liquid of relative density 1.9. Its terminal velocity is 0.7 m/s. What is the viscosity of the liquid if the acceleration due to gravity is 10m//s^2 ?