Buoyant force does not depend on

Options

A. the density of the liquid
B. the density of the body
C. total volume of the body
D. shape of the body

Answer

To determine what the buoyant force does not depend on, we can analyze the factors that influence buoyant force based on Archimedes' principle.

### Step-by-Step Solution:

1. **Understanding Buoyant Force**:
The buoyant force (or upthrust) is the upward force exerted by a fluid on a submerged object. According to Archimedes' principle, this force is equal to the weight of the fluid displaced by the object.

2. **Factors Affecting Buoyant Force**:
The buoyant force depends on:
- The density of the fluid (ρ_L).
- The volume of the fluid displaced (which is equal to the volume of the submerged part of the object).

3. **Analyzing the Options**:
- **Option 1: Density of the liquid**: The buoyant force depends on the density of the liquid because it determines how much weight of liquid is displaced. Thus, this is not the correct answer.
- **Option 2: Density of the body**: The buoyant force does not depend on the density of the body itself. It only depends on the volume of the body submerged in the liquid. Therefore, this is a correct answer.
- **Option 3: Total volume of the body**: The buoyant force does not depend on the total volume of the body. It only depends on the volume of the part of the body that is submerged in the liquid. This is also a correct answer.
- **Option 4: Shape of the body**: The buoyant force does not depend on the shape of the body. It only depends on the volume of the liquid displaced, which is determined by how much of the body is submerged, not its shape. This is another correct answer.

4. **Conclusion**:
The buoyant force does not depend on:
- The density of the body (Option 2)
- The total volume of the body (Option 3)
- The shape of the body (Option 4)

Thus, the correct options are 2, 3, and 4.

### Final Answer:
Buoyant force does not depend on:
- Density of the body
- Total volume of the body
- Shape of the body