WHEN a body hanging from a spring balance is immersed in water it floats just below the surface of water and shows 100 g loss in its weight then what is the weight of the body in water,in air,what is upthrust on the body what is the volume of tne body.
To solve this problem, we will use the principle of buoyancy.
Step 1: Calculate the weight of the body in water.
The loss in weight of the body in water is equal to the buoyant force acting on it, which is the weight of the water displaced by the body. Since the body is floating just below the surface of the water, it is in equilibrium, meaning the buoyant force is equal to the weight of the body in water. Therefore, the weight of the body in water is 100 g.
Step 2: Calculate the weight of the body in air.
Since the body is hanging from a spring balance in air, the weight of the body in air is simply its actual weight, which we do not have information about. You need to provide the weight of the body in order to calculate it.
Step 3: Calculate the upthrust on the body.
The upthrust on the body is equal to the weight of the water displaced by the body. Since the body is floating just below the surface, it displaces a volume of water equal to its own volume. The weight of the displaced water is equal to the weight of the body in water, which is 100 g.
Step 4: Calculate the volume of the body.
To find the volume of the body, we need the density of the body. The density of the body can be found by dividing its weight in air by its volume. Once you provide the weight of the body in air, we can calculate its density, and then the volume of the body can be found by dividing the weight of the body in water (100 g) by its density.
To find the weight of the body in water, we need to understand the concept of buoyancy. The upward force exerted by a fluid on an object submerged in it is called the buoyant force. This force is equal to the weight of the fluid displaced by the object.
Here's how we can determine the weight of the body in water, the weight of the body in air, the upthrust on the body, and the volume of the body:
1. Weight of the body in water:
Since the body is floating just below the surface of the water, it experiences an apparent loss in weight equal to the weight of the water displaced. The 100 g loss in weight is due to the buoyant force acting on the body through the water. Therefore, the weight of the body in water is 100 g.
2. Weight of the body in air:
The weight of an object in air can be determined by using a spring balance without any fluids. If the body shows a weight of, let's say, 500 g on the spring balance, then the weight of the body in air is 500 g.
3. Upthrust on the body:
The upthrust on the body is the same as the buoyant force acting on it. Since the body is floating just below the surface of the water, the buoyant force is equal to the weight of the water displaced. Therefore, the upthrust on the body is also 100 g.
4. Volume of the body:
The volume of the body can be calculated using Archimedes' principle. According to Archimedes' principle, the upthrust or buoyant force acting on an object is equal to the weight of the fluid displaced by the object.
As the body is floating just below the surface of the water, it displaces its own weight of water (100 g). Since the density of water is 1 g/cm³, the volume of the body can be calculated as 100 cm³ (since 100 g of water has the same volume as 100 cm³).
Therefore, the weight of the body in water is 100 g, the weight of the body in air is 500 g, the upthrust on the body is 100 g, and the volume of the body is 100 cm³.