Question: What is the coefficient of linear expansion for a material that expands by 0.01 m when heated from 20°C to 100°C over a length of 2 m?

Options:

1. 5 x 10^-5 /°C
2. 1 x 10^-4 /°C
3. 2 x 10^-4 /°C
4. 1.5 x 10^-4 /°C

Correct Answer: 1 x 10^-4 /°C

Solution:

The coefficient of linear expansion (α) is calculated as α = ΔL / (L0 * ΔT) = 0.01 / (2 * 80) = 1 x 10^-4 /°C.