The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will

Options

A. be double
B. be half
C. be four times
D. remain same.

Explanation

To solve the problem of how the maximum load a wire can withstand changes when its length is reduced to half, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Stress and Load**:
- Stress (σ) is defined as the force (F) applied per unit area (A) of the wire.
- Mathematically, it can be expressed as:
\[ \sigma = \frac{F}{A} \]

2. **Identify the Relationship Between Load and Stress**:
- The maximum load a wire can withstand before breaking is related to the material's tensile strength, which is a measure of the maximum stress the material can endure.
- Therefore, the force (or load) can be expressed as:
\[ F = \sigma \cdot A \]

3. **Consider the Effect of Length on Stress**:
- When the length of the wire is reduced to half, the cross-sectional area (A) remains unchanged because the diameter of the wire does not change.
- The tensile strength of the material is a property that depends on the material itself, not on its length.

4. **Conclusion on Maximum Load**:
- Since the tensile strength and the cross-sectional area remain constant, the maximum load the wire can withstand does not change when the length is halved.
- Thus, the maximum load remains the same as it was before the length was reduced.

### Final Answer:
The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will remain the same.

---