a brass of length 100m increase to 100.5m when heated from 50degree celcius to 100degree celcius.calculate its linear expansivity.
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A brass of length 100m increases to 100.5m, when heated from 50 to calculate it linear expansivity
To calculate the linear expansivity (α) of the brass, we can use the formula:
α = (ΔL) / (L0 * Δθ)
where:
α is the linear expansivity,
ΔL is the change in length,
L0 is the original length, and
Δθ is the change in temperature.
Given:
Original length (L0) = 100 m,
Change in length (ΔL) = 100.5 m - 100 m = 0.5 m,
Change in temperature (Δθ) = 100 °C - 50 °C = 50 °C.
Now, let's substitute these values into the equation:
α = (0.5 m) / (100 m * 50 °C)
Simplifying further:
α = 0.5 / (100 * 50)
α = 0.5 / 5000
α = 0.0001
Therefore, the linear expansivity of the brass is 0.0001 per °C.