A thin copper wire of length L increase in length by 2 % when heated from `T_(1)` to `T_(2)`. If a copper cube having side 10 L is heated from `T_(1)` to `T_(2)` when will be the percentage change in
(i) area of one face of the cube
(ii) volume of the cube

Explanation

To solve the problem, we need to find the percentage change in the area of one face of a cube and the percentage change in the volume of the cube when it is heated. We know that a thin copper wire of length \( L \) increases in length by 2% when heated from \( T_1 \) to \( T_2 \).

### Step-by-Step Solution:

1. **Understand the change in length:**
Given that the length of the copper wire increases by 2%, we can denote this change in length as:
\[
\Delta L = 0.02L
...