An object weights 18 N in air. Its weight is found to be 11.4 N when immersed in water. Calculate its density. Can you guess the material of the object? ( $2727 kgm^{-3}$, Aluminium )
Difficulty: Medium
Solution:
weight of object in air =$ w_{1}$ = 18 N
Weight of object immersed in water $= w_{2} = 11.4$ N
Density of glass =$ \rho = 1000 kgm^{-3}$
The density of the object = D =?
Nature of the material =?
D = $\frac{(w_{1})}{(w_{1}- w_{2})\times \rho}$
D = $\frac{(18)}{(18- 11.4)} \times 1000$
=$\frac{18}{(6.6)} \times 1000$ $ = 2.727 \times 10^{3}$ = $2727 kgm^{-3}$
The density of aluminium is $2700 kgm^{-3}$, and the above-calculated value of density is 2727 $kgm^{-3}$ nearest to the density of aluminium, so the material of the object is aluminium.
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