Chosse the correct statement (s) about the pressure in a liquid .

Options

A. Two points in the same horizontal plane can not have te same pressure
B. Two points at different levels may have same pressure
C. two points at different levels canot have same pressure
D. Two points in the same vertical line always have different pressures

Answer

To solve the question regarding the correct statements about pressure in a liquid, we will analyze the statements step by step.

### Step 1: Understanding Pressure in a Liquid
In a liquid at rest (static fluid), the pressure at a given depth is the same at all points on a horizontal plane. This means that if two points are at the same horizontal level in a non-accelerated fluid, they will have the same pressure.

**Hint:** Remember that pressure in a static fluid depends only on the depth, not the horizontal position.

### Step 2: Analyzing the Statements
1. **Statement A:** "Two points in the same horizontal plane cannot have the same pressure."
- This statement is **incorrect** because, in a static fluid, points at the same horizontal level do have the same pressure.

2. **Statement B:** "Two points at different levels may have the same pressure."
- This statement is **correct**. In certain conditions (e.g., when the fluid is moving), two points at different heights can have the same pressure due to the dynamics of fluid flow.

3. **Statement C:** "Two points in the same vertical line cannot have the same pressure."
- This statement is **incorrect**. In a static fluid, two points in the same vertical line (but at different depths) will have different pressures. However, in a dynamic fluid, it is possible for two points along the same vertical line to have the same pressure if the conditions allow for it.

### Step 3: Conclusion
Based on the analysis:
- Statement A is incorrect.
- Statement B is correct.
- Statement C is incorrect.

Thus, the only correct statement is **Statement B**.

### Final Answer:
The correct statement about the pressure in a liquid is **Statement B**: "Two points at different levels may have the same pressure."