A solid weighs 1.5 kgf in air and 0.9 kgf in a liquid of density 1.2 x 10³ kg m^-3. Calculate R.D. of solid.

A jeweller claims that he makes ornament of pure gold of relative density 19.3. He sells a bangle weighing 25.25 gf to a person. The clever customer weighs the bangle when immersed in water and finds that it weighs 23.075 gf in water. With the help of suitable calculations find out whether the ornament is made of pure gold or not.

[Hint — Calculate R.D of material of bangle which comes out to be 11.6]

A piece of stone of mass 15.1 g is first immersed in a liquid and it weighs 10.9 gf. Then on immersing the piece of stone in water, it weighs 9.7 gf. Calculate —

(a) the weight of the piece of stone in air,

(b) the volume of the piece of stone,

(c) the relative density of stone,

(d) the relative density of the liquid.

For a floating body, its weight W and upthrust F_B on it are related as:

1. W > F_B
2. W < F_B
3. W = F_B
4. nothing can be said