Archimedes' Principle

With the use of Archimedes' principle, state how you will find relative density of a solid denser than water and insoluble in it. How will you modify your experiments if the solid is soluble in water? 

A solid of density 2700 kgm’ and of volume 0.0015 m3 ¡s completely immersed in alcohol of density 800 kgm’.Calculate:

1. Weight of solid in SI system.
2. Upthrust on solid in SI system.
3. Apparent weight of solid in alcohol.
4. Will the apparent weight of solid be less or more, if it is immersed completely in brine solution? Give a reason, [g = 10 ms^-2]

What fraction of an iceberg of density 910 kgm^-3 will be above the surface of sea water of density 1170 kgm^-3 ?

A balloon of volume 1000 m³ is filled with a mixture of hydrogen and helium of density 0.32 kgm^-3. If the fabric of balloon weighs 40 kgf and the density of cold air is 1.32 kgm^-3, find the tension in the tope, which is holding the balloon to ground.

A balloon of volume 800 cm³ is filled with hydrogen gas of density 9 x 10^-5 gem^-3. If the empty balloon weighs 0.3 gf and density of air is 1.3 x 10^-3 gem^-3, calculate the lifting power of balloon.

A balloon of volume 120 m³ is filled with hot air, of density 38 kg^-3. If the fabric of balloon weighs 12 kg, such that additional equipment of wt. x is attached to it, calculate the magnitude of Density of cold air is 1.30 kgm^-3.

The mass of a block made of certain material is 1.35 kg and its volume is 1.5 x 10^-3 m³.

1. Find the density of block.
2. Will this block float or sink? Give reasons for your answer.

A block of mass 7 kg and volume 0.07 m³ floats in a liquid of density 140 kg/m³. Calculate:

1. Volume of block above the surface of liquid.
2. Density of block.