The pressure exerted by a liquid of height h is given by(symbols have their usuall meanings)

Options

A. `h/(dg)`
B. `h d g`
C. `h/d`
D. h g

Answer

To determine the pressure exerted by a liquid of height \( h \), we can use the formula derived from the principles of fluid mechanics. The pressure at a depth in a fluid is given by the equation:

\[ P = h \cdot \rho \cdot g \]

Where:
- \( P \) is the pressure exerted by the liquid,
- \( h \) is the height of the liquid column,
- \( \rho \) (rho) is the density of the liquid,
- \( g \) is the acceleration due to gravity.

### Step-by-Step Solution:

1. **Identify the Variables**:
- Height of the liquid column: \( h \)
- Density of the liquid: \( \rho \)
- Acceleration due to gravity: \( g \)

2. **Understand the Pressure Formula**:
- The pressure exerted by a liquid at a certain height is directly proportional to the height of the liquid column, the density of the liquid, and the gravitational acceleration.

3. **Substituting the Variables into the Formula**:
- According to the formula, we substitute the identified variables:
\[ P = h \cdot \rho \cdot g \]

4. **Conclusion**:
- From the options provided, the correct expression for the pressure exerted by the liquid of height \( h \) is:
\[ P = h \cdot \rho \cdot g \]
- This corresponds to option 2 in the question.

### Final Answer:
The pressure exerted by a liquid of height \( h \) is given by:
\[ \text{Option 2: } P = h \cdot \rho \cdot g \]