Solveeit Logo

Question

Question: The magnitude of Buoyant force depends on the of the fluid. (a) Density (b) Viscosity (c) Temp...

The magnitude of Buoyant force depends on the of the fluid.
(a) Density
(b) Viscosity
(c) Temperature
(d) Taste

Explanation

Solution

According to Archimedes principle; the amount of water displaced by an immersed body will be equal to the weight of the body times the density of the water. Also buoyant force is like a reaction force for the weight of the body being immersed. In other words it acts as the normal force to the body.

Complete step by step solution:
Archimedes Principle states that, a body partially or wholly immersed in a fluid at rest, is under the action of a force whose magnitude is equal to the amount of fluid displaced by the body.
Here fluid can be any liquid or gaseous quantity.
This force due to which a body immersed in a liquid is called buoyant force and the phenomenon is referred to as buoyancy.
Buoyancy is caused by pressure differences on opposite sides of the body.
As discussed previously, the buoyant force acting on the body depends upon the weight of the fluid displaced by the body, this quantity depends on the density of the fluid which was displaced when the body was immersed
Therefore, the correct option is our answer is density.

Additional Information:
When the buoyant force is equal to the weight of the object immersed, the object floats and remains stationary.
When buoyant force is greater than the weight of the immersed body, the body moves upward.
When buoyant force is less than the weight of the immersed body, the body moves sinks.

Note:
We know, Density of the fluid depends on both mass of the fluid and volume of the fluid.
Therefore, buoyant force also depends on the volume of fluid.
Buoyant force also depends on the vertical acceleration of the body, but in this case, since the fluid since the fluid is stationary, the vertical acceleration is gg , thus we only consider the density of the fluid.