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 regarding what the pressure at a point inside a liquid does not depend on, we can follow these steps:

### Step 1: Understand the Pressure Formula
The pressure \( P \) at a depth \( h \) in a liquid is given by the formula:
\[ P = h \rho g \]
where:
- \( P \) is the pressure,
- \( h \) is the depth of the point below the surface of the liquid,
- \( \rho \) is the density of the liquid,
- \( g \) is the acceleration due to gravity.

### Step 2: Analyze Each Option
Now, we will analyze each option given in the question:

1. **Nature of the Liquid**: The pressure depends on the density \( \rho \) of the liquid, which is related to its nature. Therefore, this option is incorrect.

2. **Shape of the Container**: The pressure at a specific depth in a liquid is independent of the shape of the container. This means that regardless of whether the container is wide or narrow, the pressure at the same depth remains the same. This option is correct.

3. **Depth of a Point Below the Surface of the Liquid**: As per the formula, pressure is directly proportional to the depth \( h \). Thus, this option is incorrect.

4. **Acceleration Due to Gravity at that Point**: The pressure also depends on the acceleration due to gravity \( g \). Therefore, this option is incorrect.

### Step 3: Conclusion
From the analysis, the only factor that the pressure at a point inside a liquid does not depend on is the **shape of the container**. Thus, the correct answer is:

**The pressure at a point inside a liquid does not depend on the shape of the container.**

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