A sharp knife enable us to cut through things more easily as compare to a blunt knife because.

Options

A. The pressure exerted is lesser when the same force is used
B. The pressure exerted is greater when the same force is used
C. The sharp edge can pass through the material slowly
D. The sharp edge is not felt when cutting through the material.

Answer

To understand why a sharp knife cuts through things more easily compared to a blunt knife, we can analyze the concept of pressure and its relationship with force and area.

### Step-by-Step Solution:

1. **Understanding Pressure**:
Pressure is defined as the force applied per unit area. The formula for pressure (P) is given by:
\[ P = \frac{F}{A} \]
where \( F \) is the force applied and \( A \) is the area over which the force is distributed.

2. **Comparing Sharp and Blunt Knives**:
A sharp knife has a much smaller cutting edge area compared to a blunt knife. Let's denote the area of the sharp knife as \( S_1 \) and the area of the blunt knife as \( S_2 \).

3. **Effect of Area on Pressure**:
Since pressure is inversely proportional to the area, if the area is smaller (as in the case of a sharp knife), the pressure exerted is greater for the same amount of force applied. This can be expressed as:
\[ P_1 = \frac{F}{S_1} \quad \text{(for the sharp knife)} \]
\[ P_2 = \frac{F}{S_2} \quad \text{(for the blunt knife)} \]
Here, \( S_1 < S_2 \), which means \( P_1 > P_2 \).

4. **Conclusion**:
Because the sharp knife exerts greater pressure on the material due to its smaller area, it can penetrate and cut through materials more easily than a blunt knife, which exerts less pressure due to its larger cutting edge area.

### Final Statement:
Thus, a sharp knife cuts through things more easily than a blunt knife because it exerts greater pressure on the material when the same force is applied, due to its smaller cutting area.