When a thin iron wire of length l is heated from a temperature `T_1` to `T_2` , a change of 1% in its length is observed. The percentage change in area of iron plate of dimension `2l xx l` when it is heated from `T_1` to `T_2` is

Explanation

To solve the problem step by step, we need to determine the percentage change in the area of an iron plate when it is heated, given that a thin iron wire of length \( l \) experiences a 1% change in length when heated from temperature \( T_1 \) to \( T_2 \).

### Step 1: Understand the change in length of the wire
When the iron wire is heated, it expands. The problem states that there is a 1% change in its length.

The new length \( L' \) of the wire can be expressed as:
\[
L' = L + 0.01L = L(1 + 0.01) = L(1 + \frac{1}{100})
...