Pressure at a point inside a liquid does not depend on

Options

A. the nature of the liquid
B. shape of the container
C. the depth of point below the surface of the liquid
D. acceleration due to gravity at that point

Explanation

To solve the question, "Pressure at a point inside a liquid does not depend on," we can analyze the factors that affect pressure in a liquid.

### Step-by-Step Solution:

1. **Understanding Pressure in a Liquid**:
The pressure at a point inside a liquid is given by the formula:
\[ P = \rho g h \]
where:
- \( P \) = pressure at the depth
- \( \rho \) = density of the liquid
- \( g \) = acceleration due to gravity
- \( h \) = height (or depth) of the liquid column above the point.

2. **Identifying the Factors**:
From the formula, we can see that pressure depends on:
- The density of the liquid (\( \rho \))
- The depth of the liquid (\( h \))
- The acceleration due to gravity (\( g \))

3. **Evaluating the Options**:
Now, let’s evaluate the options provided in the question:
- **Nature of the liquid**: This affects the density (\( \rho \)), so pressure does depend on this.
- **Shape of the container**: This does not affect the pressure at a point inside the liquid. Regardless of the shape of the container, the pressure at a given depth remains the same.
- **Depth below the surface of the liquid**: This directly affects pressure as seen in the formula (it is represented by \( h \)).
- **Acceleration due to gravity**: This also affects pressure, as it is included in the formula.

4. **Conclusion**:
The only factor that pressure at a point inside a liquid does not depend on is the **shape of the container**. Therefore, the correct answer is:
- **Shape of the container**.

### Final Answer:
Pressure at a point inside a liquid does not depend on the shape of the container.

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