When the weight of the fluid displaced is less than the weight of the ...
Archimedes principle:
- It is used to explain the law of flotation or upward thrust experienced when immersed in a fluid.
- The principle of Archimedes states “When a body is immersed in a liquid, an upward thrust, equal to the weight of the liquid displaced, acts on it.”
- The flotation and sinking of an object are dependent upon the relative density with each other.
- If the density of the object is more than the density of the liquid, the object will sink.
- On the other side, if the density of an object is less than the liquid, then it will float over it.
- If the density of the object and liquid is equal to each other, they are in equilibrium and float and sink both at the same time
- Therefore, the sinking or floating of an object depends on the difference in density of objects and liquid.
Weight = m × g = ρ × g × V
- If the upthrust force (equal to weight) exerted on the body by the fluid is greater than the weight of the body, then the body floats. While, if upthrust is lesser, then the body sinks.
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When the weight of the fluid displaced is less than the weight of the ...
Understanding Buoyancy and Sinking
When a solid body is placed in a fluid, it experiences buoyancy, which is the upward force exerted by the fluid. The behavior of the solid body depends on the relationship between the weight of the fluid displaced and the weight of the solid body.
Weight of Fluid Displaced vs. Weight of Solid Body
- If the weight of the fluid displaced is equal to the weight of the solid body, the body will float. This is known as neutral buoyancy.
- When the weight of the fluid displaced is greater than the weight of the solid, the solid will float and may be partially submerged.
- However, if the weight of the fluid displaced is less than the weight of the solid body, the following occurs:
The Body Sinks
- The solid body will not be able to displace enough fluid to equal its own weight.
- As a result, the upward buoyant force is insufficient to support the weight of the solid.
- Therefore, the body will sink to the bottom of the fluid.
Conclusion
In this scenario, the correct answer is option 'C': The body sinks in a fluid. This phenomenon illustrates the principles of density and buoyancy, which are crucial in understanding fluid mechanics. If the solid is denser than the fluid, it displaces less fluid than its own weight, leading to sinking.