If the density of a liquid increases, the buoyant force will

Options

A. Increase
B. remain the same
C. decrease
D. none of the above

Explanation

To solve the question, "If the density of a liquid increases, the buoyant force will...," 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 submerged in it. This force is responsible for making objects float.

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

3. **Identify the Relationship**:
From the formula, we can see that the buoyant force is directly proportional to the density of the liquid (\( \rho \)). This means that if the density of the liquid increases, the buoyant force will also increase, assuming the volume of the object and the acceleration due to gravity remain constant.

4. **Conclusion**:
Therefore, if the density of the liquid increases, the buoyant force will also increase. The correct answer to the question is that the buoyant force will increase.

### Final Answer:
If the density of a liquid increases, the buoyant force will **increase**.

---