Which of the following statements is wrong ?

Options

A. Buoyancy is an upward force and acts in the vertically upward direction.
B. Upthrust depends on the volume of liquid displaced but not on the weight of the floating body .
C. Upthrust balances only a partial weight of the floating body .
D. None of these .

Answer

To determine which statement is wrong, we will analyze each statement one by one based on the principles of buoyancy and the behavior of floating objects.

### Step-by-Step Solution:

1. **Statement 1: Buoyancy is an upward force and acts in a vertically upward direction.**
- **Analysis:** This statement is correct. Buoyancy, also known as buoyant force, always acts upwards against the weight of the object submerged in a fluid.
- **Conclusion:** This statement is not the wrong one.

2. **Statement 2: Up thrust depends on the volume of liquid displaced but not on the weight of the floating body.**
- **Analysis:** This statement is also correct. The buoyant force (up thrust) acting on an object submerged in a fluid is determined by the volume of fluid displaced, according to Archimedes' principle. The weight of the floating body does not factor into the calculation of buoyant force.
- **Conclusion:** This statement is not the wrong one.

3. **Statement 3: Up thrust balances only the partial weight of the floating object.**
- **Analysis:** This statement is incorrect. For a floating object, the buoyant force (up thrust) is equal to the weight of the object. If the object is floating, it means that the buoyant force is balancing the entire weight of the object, not just a part of it.
- **Conclusion:** This statement is the wrong one.

4. **Statement 4: None of these.**
- **Analysis:** Since we have identified that Statement 3 is wrong, this statement cannot be correct.
- **Conclusion:** This statement is not the wrong one.

### Final Answer:
The wrong statement is **Statement 3: Up thrust balances only the partial weight of the floating object.**

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