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A block of iron is kept at the bottom of a bucket full of water at 2 degree centigrade.THE water exerts buoyant force on the block.If temp of water is increased by 1 degree centigrade ,the temp of iron block also increases by 1 deg cent...then what is the effect of bouyant force on the block by water?

Anirban Mukherjee , 13 Years ago
Grade 12
anser 1 Answers
Askiitians Tutor Team

To understand the effect of buoyant force on the iron block when the temperature of the water increases, we need to consider a few key concepts related to buoyancy, temperature, and density. Let's break this down step by step.

Understanding Buoyant Force

The buoyant force is the upward force exerted by a fluid on an object submerged in it. According to Archimedes' principle, this force is equal to the weight of the fluid displaced by the object. The formula for buoyant force (F_b) can be expressed as:

  • F_b = ρ_fluid × V_displaced × g

Where:

  • ρ_fluid is the density of the fluid (water in this case).
  • V_displaced is the volume of the fluid displaced by the submerged part of the object.
  • g is the acceleration due to gravity.

Effect of Temperature on Water Density

As the temperature of water increases, its density changes. At 2 degrees Celsius, water is relatively dense, but as it warms up to 3 degrees Celsius, its density decreases slightly. This is important because the buoyant force depends on the density of the fluid.

Impact of Temperature on the Iron Block

When the temperature of the water increases by 1 degree Celsius, the iron block also warms up by the same amount. However, the key point here is that the buoyant force is primarily influenced by the density of the water, not the temperature of the iron block itself. As the water warms, its density decreases, which means:

  • The buoyant force acting on the iron block will decrease slightly because the density of the water is lower at 3 degrees Celsius compared to 2 degrees Celsius.

Conclusion on Buoyant Force Changes

In summary, when the temperature of the water increases from 2 degrees to 3 degrees Celsius, the buoyant force acting on the iron block decreases due to the reduction in water density. While the iron block's temperature rises, it does not affect the buoyant force directly; rather, it is the change in the water's density that plays a crucial role. Therefore, the overall effect is a slight decrease in the buoyant force acting on the block as the temperature of the water increases.

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