The length of the wire is increased by 2% by applying a load of 2.5 kg-wt. what is the linear strain produced in the wire?

Options

A. 0.1
B. 0.01
C. 0.2
D. 0.02

Explanation

To find the linear strain produced in the wire when its length is increased by 2% due to a load of 2.5 kg-wt, we can follow these steps:

### Step 1: Understand the concept of linear strain
Linear strain is defined as the change in length per unit original length of the wire. It can be mathematically expressed as:
\[ \text{Linear Strain} = \frac{\Delta L}{L} \]
where \(\Delta L\) is the change in length and \(L\) is the original length.

### Step 2: Identify the given data
From the problem, we know:
- The percentage increase in length = 2%
- This means the change in length \(\Delta L\) can be expressed as:
\[ \Delta L = \frac{2}{100} \times L \]

### Step 3: Substitute the change in length into the strain formula
Using the definition of linear strain:
\[ \text{Linear Strain} = \frac{\Delta L}{L} = \frac{\frac{2}{100} \times L}{L} \]

### Step 4: Simplify the expression
The \(L\) in the numerator and denominator cancels out:
\[ \text{Linear Strain} = \frac{2}{100} = 0.02 \]

### Step 5: State the final answer
The linear strain produced in the wire is:
\[ \text{Linear Strain} = 0.02 \]