A heavy cylinder of length 1 is slowly taken out of a dense liquid. Th...
When the heavy cylinder is slowly taken out of a dense liquid, the weight felt by the cylinder will change. Here's a detailed explanation of why the weight increases till it attains the weight in air:
- Weight in liquid: When the cylinder is fully submerged in the dense liquid, it experiences a buoyant force equal to the weight of the liquid displaced by the cylinder. This buoyant force partially cancels out the weight of the cylinder, making it feel lighter than its actual weight in air. So, the weight felt in the liquid is less than the weight in air.
- Weight as it comes out: As the cylinder is slowly taken out of the liquid, the buoyant force acting on it decreases gradually. This is because the amount of liquid displaced by the cylinder decreases as it comes out of the liquid.
- Weight increase: Since the buoyant force decreases, the net force acting on the cylinder increases. According to Newton's second law of motion (F = ma), an increase in net force leads to an increase in acceleration. In this case, the acceleration is upwards, opposite to the direction of gravity. As a result, the weight felt by the cylinder increases as it comes out of the liquid.
- Weight in air: Once the cylinder is completely out of the liquid, there is no more buoyant force acting on it. At this point, the weight felt by the cylinder is equal to its weight in air.
In conclusion, the weight felt by the cylinder increases as it comes out of the dense liquid until it attains the weight in air. Therefore, the correct answer is option D: increases till it attains the weight in air.
A heavy cylinder of length 1 is slowly taken out of a dense liquid. Th...
The Weight of a Cylinder in a Dense Liquid
When a heavy cylinder is slowly taken out of a dense liquid, the weight felt by the cylinder changes. The correct answer is option 'D', which states that the weight of the cylinder will increase until it attains the weight in air. Let's understand why this is the correct answer.
Weight in a Dense Liquid
When an object is immersed in a liquid, it experiences an upward force called the buoyant force, which is equal to the weight of the liquid displaced by the object. The weight of the object in the liquid is reduced by the buoyant force.
Explanation
When the cylinder is completely immersed in the dense liquid, it displaces an amount of liquid equal to its own volume. At this point, the weight of the cylinder is equal to the weight of the liquid displaced. However, as the cylinder is slowly taken out of the liquid, the weight felt by the cylinder changes due to the following reasons:
1. Decrease in Buoyant Force: As the cylinder is taken out of the liquid, the amount of liquid it displaces decreases. This results in a decrease in the buoyant force acting on the cylinder.
2. Increase in Weight: As the buoyant force decreases, the weight of the cylinder becomes dominant. Therefore, the weight felt by the cylinder increases.
3. Attaining Weight in Air: Eventually, when the cylinder is completely out of the liquid, it is no longer experiencing the buoyant force. At this point, the weight felt by the cylinder is equal to its actual weight in air.
Therefore, the correct answer is option 'D', which states that the weight of the cylinder increases until it attains the weight in air.