Answer:
To calculate the linear expansion of a brass rod due to a temperature change of 100K, we can use the formula:
ΔL = α * L * ΔT
where:
α = linear expansivity of brass (1.8 x 10^-5K^-1)
L = original length of the rod (2m)
ΔT = change in temperature (100K)
Plugging in the values:
ΔL = 1.8 x 10^-5K^-1 * 2m * 100K = 0.036m
So the linear expansion of the brass rod due to a temperature change of 100K is 0.036 meters.