When a wire is twisted, the strain produced in it is

Options

A. Longitudinal
B. Volumetric
C. Shearing
D. None

Explanation

To determine the type of strain produced when a wire is twisted, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We need to identify the type of strain that occurs when a wire is twisted. The options we are considering are longitudinal strain, volumetric strain, and shear strain.

2. **Visualizing the Wire**:
- Imagine a wire with a cross-section. For clarity, let’s visualize the wire as having two faces: one at the top and one at the bottom.

3. **Twisting the Wire**:
- When we twist the wire, we fix one end and apply a torque to the other end. This action causes the wire to rotate, resulting in a change in the orientation of the cross-section.

4. **Analyzing the Cross-Section**:
- If we look at the cross-section of the wire before and after twisting, we can see that the top face of the wire rotates relative to the bottom face. This rotation creates an angle (let's call it θ) between the two faces.

5. **Identifying the Type of Strain**:
- In this scenario, we observe that:
- There is no change in the length of the wire (which would indicate longitudinal strain).
- There is no change in the volume of the wire (which would indicate volumetric strain).
- However, there is a change in the orientation of the faces of the wire due to the twisting motion, which is characteristic of shear strain.

6. **Conclusion**:
- Since the twisting of the wire results in a change in the angle between the faces without altering the volume or length, the strain produced is classified as shear strain.

### Final Answer:
The strain produced when a wire is twisted is **shear strain**.

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