Statement I: Surface tension has the same units as fore gradient.
Statement II: Surface tension is the force gradient along the surface of liquid.

Options

A. Statement I is true, statement II is true and Statement II is a correct explanation for Statement I.
B. Statement I is true, Statement II is true and Statement II is NOT the correct explanation for Statement I.
C. Statement I is true, Statement II is false.
D. Statement I is false, Statement II is true.

Explanation

To analyze the statements given in the question, we will evaluate each statement step by step.

### Step 1: Understand Surface Tension
Surface tension (T) is defined as the force (F) acting along the surface of a liquid per unit length (L). Mathematically, it can be expressed as:
\[ T = \frac{F}{L} \]
This means that surface tension has the dimensions of force per unit length.

### Step 2: Determine the Units of Surface Tension
The unit of force in the SI system is Newton (N), and the unit of length is meter (m). Therefore, the unit of surface tension can be expressed as:
\[ \text{Unit of Surface Tension} = \frac{\text{Newton}}{\text{meter}} = \text{N/m} \]

### Step 3: Understand Force Gradient
A force gradient refers to the change in force per unit length. It can be mathematically represented as:
\[ \text{Force Gradient} = \frac{F}{L} \]
This is similar to the definition of surface tension.

### Step 4: Determine the Units of Force Gradient
Using the same reasoning as above, the unit of force gradient is also:
\[ \text{Unit of Force Gradient} = \frac{\text{Newton}}{\text{meter}} = \text{N/m} \]

### Step 5: Compare the Units
From Steps 2 and 4, we see that both surface tension and force gradient have the same unit of N/m. Therefore, Statement I is true.

### Step 6: Analyze Statement II
Statement II claims that surface tension is the force gradient along the surface of the liquid. This is indeed a correct description of surface tension. Surface tension arises due to cohesive forces between liquid molecules, which causes the liquid surface to behave like a stretched elastic membrane.

### Conclusion
Both statements are true:
- Statement I: Surface tension has the same units as force gradient (True).
- Statement II: Surface tension is the force gradient along the surface of the liquid (True).

Thus, the correct conclusion is that both statements are true, and Statement II provides a correct explanation for Statement I.

### Final Answer
Both Statement I and Statement II are true, with Statement II being a correct explanation of Statement I.

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