We would like to perpare a scale whose length does not change with temperature. It is proposed to prepare a unit scale f this type whose length remains, say 10 cm. We can use a bimetallic strip made of brass and iron each of different length (both components) would change in such a way that differnece between theri lenght rermain constant. If `alpha_(iron) = 1.2 xx 10^(-5)//K and alpha_(brass) = 1.8 xx 10^(-5)//K,` what should we take as lenght of each strip ?

Explanation

To solve the problem of determining the lengths of the brass and iron strips in a bimetallic strip that maintains a constant length of 10 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Define Variables**:
Let \( L_i \) be the length of the iron strip and \( L_b \) be the length of the brass strip. According to the problem, the difference in their lengths should remain constant at 10 cm:
\[
L_i - L_b = 10 \text{ cm}
...