The friction between two surface does not depend on one of the following. This one is :

Options

A. amount of surface area of the two objects which is in contact with each other
B. weight of the object which tends to move on the surface of other object
C. degree of smoothness of surface of two objects in in contact with each other
D. degree of roughness of surface of two objects in contact with each other

Answer

To determine which factor does not affect the friction between two surfaces, we can analyze each option provided.

### Step-by-Step Solution:

1. **Understanding Friction**: Friction is the force that opposes the relative motion of two surfaces in contact. It is influenced by several factors.

2. **Analyzing the Options**:
- **Option 1: Area of Contact**: The friction between two surfaces does not depend on the area of contact. This is because friction is primarily caused by the interlocking of microscopic irregularities on the surfaces. Increasing the area does not increase the interlocking effect; thus, it does not affect the frictional force.

- **Option 2: Weight of the Object**: Friction does depend on the weight of the object. The greater the weight, the more force pressing the surfaces together, which increases friction.

- **Option 3: Degree of Smoothness**: Friction is affected by the smoothness of the surfaces. Smoother surfaces tend to have less friction compared to rough surfaces because there are fewer interlocking irregularities.

- **Option 4: Degree of Roughness**: The roughness of the surfaces also affects friction. Rougher surfaces tend to have more friction because they have more interlocking points.

3. **Conclusion**: Based on the analysis, the factor that does not affect friction is the area of contact between the two surfaces. Therefore, the correct answer is **Option 1**.

### Final Answer:
The friction between two surfaces does not depend on the area of contact between them (Option 1).