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]



Relative density of pure gold = 19.3

Weight of the bangle in air (W1) = 25.25 gf

Weight of the bangle in water (W2) = 23.075 gf

RD of Bangle = W_1\over W_1-W_2

= 25.25\over 25.25-23.075

= 25.25\over 2.175 = 11.6

It is given that relative density of gold is 19.3 where as relative density of bangle is 11.6.

Hence, we can deduce that the bangle is not made of pure gold.

Was this answer helpful?

Didn't liked the above answer ?

≫ Some Related Questions

Upthrust in Fluids

A weather forecasting plastic balloon of volume 15 m3 contains hydrogen of density 0.09 kg m-3. The volume of an equipment carried by the balloon is negligible compared to it’s own volume. The mass of the empty balloon alone is 7.15 kg. The balloon is floating in air of density 1.3 kg m-3. Calculate : (i) the mass of hydrogen in the balloon, (ii) the mass of hydrogen and balloon, (iii) the total mass of hydrogen, balloon and equipment if the mass of equipment is x kg, (iv) the mass of air displaced by balloon and (v) the mass of equipment using the law of floatation.

Open Answer »