Select the correct option

Options

A. Surface tension depends on nature of liquid
B. Surface tension depends on area of surface of liquid
C. Surface tension of a liquid decreases with rise in temperature
D. Surface tension has dimensions `[ML^(-2) T^(-1)]`

Answer

To solve the question, we need to analyze each option regarding surface tension and determine which statements are correct.

### Step-by-Step Solution:

1. **Evaluate Option 1**:
- Statement: "Surface tension depends upon the nature of the liquids."
- Explanation: Surface tension is a property that varies with the type of liquid due to intermolecular forces. Different liquids have different molecular structures and interactions, which affect their surface tension.
- Conclusion: This statement is **correct**.

2. **Evaluate Option 2**:
- Statement: "Surface tension depends upon the area of the surface of the liquids."
- Explanation: Surface tension is defined as the force per unit length acting along the surface of a liquid. The formula for surface tension is \( S = \frac{F}{L} \), where \( F \) is the force and \( L \) is the length. There is no area term in this formula, indicating that surface tension is independent of the surface area.
- Conclusion: This statement is **incorrect**.

3. **Evaluate Option 3**:
- Statement: "Surface tension of a liquid decreases with rising temperatures."
- Explanation: As temperature increases, the kinetic energy of the molecules in a liquid also increases, which reduces the cohesive forces between them. This results in a decrease in surface tension.
- Conclusion: This statement is **correct**.

4. **Evaluate Option 4**:
- Statement: "The surface tension has dimension \( ML^{-2}T^{-1} \)."
- Explanation: The correct dimensional formula for surface tension is \( ML^{0}T^{-2} \) (since it is force per unit length). The provided dimension \( ML^{-2}T^{-1} \) is incorrect.
- Conclusion: This statement is **incorrect**.

### Final Conclusion:
The correct options are **Option 1** and **Option 3**.