Given:
Initial temperature, T1 = 0°C
Final temperature, T2 = 100°C
Coefficient of linear expansion, α = 10^-3 K^-1
The formula to calculate the increase in length is:
ΔL = L * α * ΔT
Where:
ΔL = increase in length
L = initial length
α = coefficient of linear expansion
ΔT = change in temperature
Since we need to calculate the percentage increase in length, we can use the percentage change formula:
Percentage increase = (ΔL / L) * 100
First we need to calculate the increase in length:
ΔT = T2 - T1
ΔT = 100°C - 0°C
ΔT = 100°C
ΔL = L * α * ΔT
ΔL = L * 10^-3 * 100
ΔL = L * 0.1
Now we can calculate the percentage increase:
Percentage increase = (0.1L / L) * 100
Percentage increase = 0.1 * 100
Percentage increase = 10%
Therefore, the percentage increase in length of the metallic rod when heated from 0°C to 100°C is 10%.