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

To understand the effect of buoyant force on the iron block when the temperature of the water increases, we first need to clarify a few concepts related to buoyancy and temperature changes in fluids. Buoyant force is the upward force exerted by a fluid on an object submerged in it, and it is determined by the volume of fluid displaced by the object, according to Archimedes' principle.

Buoyant Force Basics

The buoyant force acting on an object submerged in a fluid is given by the formula:

• F_b = ρ_f × V_d × g

Where:

• F_b = buoyant force
• ρ_f = density of the fluid (water in this case)
• V_d = volume of the fluid displaced by the object
• g = 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 you raise the temperature to 3 degrees Celsius, the density of water decreases slightly. This is an important factor because the buoyant force depends on the density of the fluid.

Temperature Increase and Its Impact

When the temperature of the water increases by 1 degree Celsius, the density of the water decreases. This means that for the same volume of water displaced by the iron block, the buoyant force will also decrease because:

• The density (ρ_f) in the buoyant force equation is now lower.

Even though the temperature of the iron block also increases, which might suggest that it could expand and displace more water, the change in volume due to temperature for solids like iron is negligible compared to the change in water density. Therefore, the overall effect is that the buoyant force acting on the iron block decreases as the temperature of the water rises.

Conclusion on Buoyant Force Change

In summary, when the temperature of the water increases from 2 degrees Celsius to 3 degrees Celsius, the buoyant force exerted on the iron block decreases due to the reduction in water density. The iron block's temperature increase does not significantly affect the volume of water displaced, leading to a net decrease in the buoyant force. This illustrates how temperature changes can influence physical properties and forces in fluid dynamics.

To understand the effect of buoyant force on the iron block when the temperature of the water increases, we first need to grasp a few fundamental concepts about buoyancy and how temperature influences both water and the block itself.

Buoyant Force Basics

The buoyant force is the upward force exerted by a fluid on an object that is submerged in it. This force is determined by Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid that the object displaces. In simpler terms, if you put an object in water, it pushes some water out of the way, and the weight of that displaced water is what pushes the object up.

Temperature Effects on Water and Iron

When the temperature of the water increases from 2 degrees Celsius to 3 degrees Celsius, the water expands slightly. This expansion reduces its density. Since density is mass per unit volume, as the temperature rises, the same mass of water occupies a larger volume, leading to a decrease in density.

For the iron block, as its temperature increases by 1 degree Celsius, it also expands slightly, but the effect on its density is minimal compared to that of water. Iron is much denser than water, so the change in volume due to temperature is relatively small.

Analyzing the Buoyant Force Change

Now, let’s consider how these changes affect the buoyant force:

• Initial Condition: At 2 degrees Celsius, the buoyant force acting on the iron block is based on the density of water at that temperature.
• After Temperature Increase: When the water's temperature rises to 3 degrees Celsius, the density of water decreases. This means that for the same volume of water displaced by the iron block, the weight of the displaced water is now less than it was at 2 degrees Celsius.

As a result, the buoyant force exerted on the iron block decreases because it is now displacing a lighter fluid. Even though the block itself has also warmed up, the change in buoyant force is primarily due to the decrease in water density.

Conclusion on Buoyant Force Impact

In summary, when the temperature of the water increases, the buoyant force acting on the iron block decreases because the water becomes less dense. This decrease in buoyant force is a direct consequence of the relationship between temperature and density in fluids. Therefore, even though both the water and the iron block experience a temperature increase, the effect on buoyancy is predominantly influenced by the change in water density.