A body floats in a liquid with a part of it submerged inside liquid. Is the weight of floating body greater than, equal to or less than upthrust?

Answer

To solve the question, "A body floats in a liquid with a part of it submerged inside the liquid. Is the weight of the floating body greater than, equal to, or less than the upthrust?", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Concept of Buoyancy**:
- When a body is placed in a fluid, it experiences an upward force known as upthrust or buoyant force. This force is equal to the weight of the fluid displaced by the submerged part of the body.

2. **Archimedes' Principle**:
- According to Archimedes' Principle, any object that is wholly or partially immersed in a fluid experiences a buoyant force that is equal to the weight of the fluid displaced by the object.

3. **Condition for Floating**:
- A body floats when the weight of the body is balanced by the upthrust. This means that the buoyant force acting on the body is equal to the weight of the body.

4. **Analyzing the Situation**:
- In the case of a floating body, the part of the body that is submerged displaces a certain volume of fluid. The weight of this displaced fluid (which is the upthrust) is equal to the weight of the body itself.

5. **Conclusion**:
- Therefore, for a body floating in a liquid, the weight of the floating body is equal to the upthrust acting on it.

### Final Answer:
The weight of the floating body is **equal to** the upthrust.

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