Buoyant force exerted by different fluids on a given body is

Options

A. same
B. different
C. zero
D. negligible

Answer

To solve the question regarding the buoyant force exerted by different fluids on a given body, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Buoyant Force**:
The buoyant force is the upward force exerted by a fluid on an object that is immersed in it. This force is responsible for making objects feel lighter in water or other fluids.

2. **Know the Formula for Buoyant Force**:
The formula for buoyant force (B) is given by:
\[ B = \rho_L \cdot V \cdot g \]
where:
- \( \rho_L \) = density of the fluid (liquid)
- \( V \) = volume of the object immersed in the fluid
- \( g \) = acceleration due to gravity

3. **Identify the Variables**:
In our case, the volume of the object (V) and the acceleration due to gravity (g) remain constant since the object and the gravitational field do not change. The only variable that can change is the density of the fluid (\( \rho_L \)).

4. **Consider Different Fluids**:
Different fluids have different densities. For example:
- Water has a density of approximately \( 1000 \, \text{kg/m}^3 \)
- Mercury has a density of approximately \( 13546 \, \text{kg/m}^3 \)
- Kerosene has a density of approximately \( 800 \, \text{kg/m}^3 \)

5. **Analyze the Effect on Buoyant Force**:
Since the buoyant force depends on the density of the fluid, if we change the fluid, the density (\( \rho_L \)) will change, leading to a different buoyant force. Therefore, the buoyant force exerted by different fluids on the same object will not be the same.

6. **Conclusion**:
Based on the analysis, we conclude that the buoyant force exerted by different fluids on a given body is **different**.

### Final Answer:
The buoyant force exerted by different fluids on a given body is **different**.

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