Question

A sphere of mass $5\text{kg}$ and volume $2.2\times {10}^{-4}{\text{m}}^3$ is completely immersed in water. Find the buoyant force exerted by water on the sphere.

Density of water $=1000{\text{kg-m}}^{-3}$ and take $g=10{\text{m/s}}^2$

• A. $2.1\text{N}$
• B. $2.2\text{N}$
• C. $2.4\text{N}$
• D. $2.3\text{N}$

Answer 1

The correct option is B $2.2\text{N}$

Buoyant force exerted by water on the sphere,

$F=\rho gV$

$\Rightarrow F=1000\times 10\times 2.2\times {10}^{-4}=2.2\text{N}$

Hence, option $\left(B\right)$ is the correct answer.