Answer:
0.018 cm
Step-by-step explanation:
The increase in length can be calculated using the formula:
ΔL = α * L * ΔT
where ΔL is the increase in length, α is the linear expansivity of iron, L is the original length of the rod, and ΔT is the change in temperature.
Plugging in the values, we get:
ΔL = 1.2 x 10^-5 * 30 * 50
ΔL = 0.018 cm
So, the iron rod increases in length by 0.018 cm when heated through 50 Kelvin.