A brass rod is two meter long at a certain temperature the brass rod is 2m long what is it length to a temperature raise of look if alpha of brass is 19*10-6 kelvin
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To calculate the change in length of the brass rod when the temperature is raised, we can use the formula:
ΔL = α * L₀ * ΔT
Where:
ΔL is the change in length
α is the coefficient of linear expansion of brass
L₀ is the original length of the rod
ΔT is the change in temperature
Given:
α = 19 * 10^(-6) K^(-1) (coefficient of linear expansion of brass)
L₀ = 2 m (original length of the rod)
ΔT = ?
We need to find the change in temperature (ΔT) that causes the brass rod to increase in length to 2m.
Rearranging the formula, we can solve for ΔT:
ΔT = ΔL / (α * L₀)
Since we want the final length to be 2m, the change in length (ΔL) will be 2m - 2m = 0m.
Plugging in the values:
ΔT = 0m / (19 * 10^(-6) K^(-1) * 2m)
Calculating:
ΔT = 0 K
Therefore, the change in temperature (ΔT) required for the brass rod to increase in length to 2m is 0 Kelvin.