A wire is stretched to double its length. The strain is

The correct option is 1.

To understand why, let us break down the physical definition of strain and perform the step-by-step derivation:

1. Definition of Longitudinal Strain:
Longitudinal strain is defined as the ratio of the change in length of the wire to its original length. Mathematically, it is expressed as:
$\text{Strain}=\frac{\Delta L}{L}$
where $L$ is the original length of the wire, and $\Delta L$ is the change in length.

2. Given Information:
Let the original length of the wire be $L$.
Since the wire is stretched to double its original length, its final length ($L_{\text{final}}$) is:
$L_{\text{final}}=2L$

3. Calculating the Change in Length:
The change in length ($\Delta L$) is the difference between the final length and the original length:
$\Delta L=L_{\text{final}}-L$
Substituting the value of the final length:
$\Delta L=2L-L=L$

4. Calculating the Strain:
Now, substituting the change in length ($\Delta L=L$) back into the strain formula:
$\text{Strain}=\frac{L}{L}=1$
Therefore, the strain produced in the wire is 1.