Question

A body would experience greater buoyant force in a liquid whose density is (assume that the body is fully submerged)

• A. $5g/c{m}^3$
• B. $1000Kg/m^3$
• C. $13.6g/c{m}^3$
• D. $800g/c{m}^3$

Answer 1

The correct option is D

$800g/c{m}^3$

1. Buoyant force is directly proportional to the density of the fluid in which an object is immersed.
2. Buoyancy is the tendency to rise or float in a fluid.
3. The upward force exerted on objects submerged in fluids is called the buoyant force.
4. The formula for buoyant force is $F=V\rho g$, where $\rho$ is the density, $V$is the volume, and $m$ is the mass of the displaced fluid. $g$ is the acceleration due to gravity (9.81 m·s⁻²).
5. So the denser the fluid is, the greater the buoyancy and the buoyant force.
6. Here, $1000Kg/m^3=1g/c{m}^3$ in option B.
7. Thus, out of all the options $800g/c{m}^3$ is the highest.

Hence, the buoyant force will be maximum in case of option D.