Tag: upthrust in fluids, archimedes' principle and floatation

Analyse the given statements and choose the correct option.
Statement I: The buoyant force of water on a submerged wooden cube is greater than the buoyant force of water on a steel cube of equal volume.
Statement II: The buoyant force on a body is equal to the weight of the liquid displaced by the body.

The reading of a spring balance when a block is suspended from it in air is 60 newton. This reading is changed to 40 newton when the block is fully submerged in water. The specific gravity of the block must be therefore " 

The body when immersed fully or partially in a fluid, experiences an upward force, equal to ............. of displaced fluid.

A solid sphere weighs $40\ N$ in water and $45\ N$ in water and $45N$ in a liquid of density $0.75$. The weigh of sphere in air will be

A piece of ice having a stone frozen in its melts in a glass vessel filled with water. How will the level of water in the vessel change when the ice melts?

A metal wire of density $d$ floats, in a liquid of surface tension $\sigma$, in the horizontal position. The maximum radius of the wire so that it may not sink is

A cubical block floating in a liquid with half of its volume immersed in the liquid.when the hole system accelerates downward with an accelerations $g/3$. The fraction of volume immersed in liquid will be 

Two solids $A$ and $B$ floats in a liquid. it is observed that $A$ floats with half its volume immersed an d$B$ floats with $(2/3$ of its volume immersed. Compare the densities of $A$ and $B$ :

A block wood side 40 cm flods in wateer ina way that it lower fece 5 cm below the free surface or water.

A frictionless sloping plank 6m long. An oil drum of 300 N is raised up the sloping plank by an effort of 15 N. Calculate height to which oil drum rises is _____