Question

The mass of water displaced by a solid of mass 400 g and volume 150 $c{m}^3$ is

• A. 100 g
• B. 150 g
• C. 200 g
• D. 250 g

Answer 1

The correct option is B

150 g

Given, mass of solid = 400g and volume of solid = 150 $c{m}^3$. Therefore, density of solid$=\frac{\text{Mass of solid}}{\text{Volume of solid}}=\frac{400}{150}=2.66gc{m}^{-3}$.

Now as the density of solid is more than the density of water so it will sink and the solid will displace water equal to its volume

Therefore, the volume of water displaced $=$ volume of solid.

Density of water displaced $=\frac{\text{Mass of water displaced}}{\text{Volume of water displaced}}$

Density of water = 1 $gc{m}^{-3}$.

$\Rightarrow 1=\frac{\text{Mass of water displaced}}{150}$

Hence, the mass of water displaced = 150 g