A brass of length 100m increases the 100.5m.what is the linear expansivity (x)of the brass when heated from 50°c to 100°c.
To find the linear expansivity (x) of brass, we can use the formula:
ΔL = L₀ * x * ΔT
Where:
ΔL is the change in length,
L₀ is the initial length,
x is the linear expansivity, and
ΔT is the change in temperature.
In this case, the initial length (L₀) is 100 m, and the change in length (ΔL) is 100.5 m - 100 m = 0.5 m. The change in temperature (ΔT) is 100°C - 50°C = 50°C.
Now, we can rearrange the formula to solve for x:
x = ΔL / (L₀ * ΔT)
Substituting the values:
x = 0.5 m / (100 m * 50°C)
Calculating:
x = 0.5 / 5000
x = 0.0001 (rounded to four decimal places)
Therefore, the linear expansivity (x) of the brass when heated from 50°C to 100°C is 0.0001 per degree Celsius.