A copper rod of length 1 m is initially at room temperature. If the te

A copper rod of length 1 m is initially at room temperature. If the temperature of the rod is increased by 100 °C, what will be the change in length of the rod? (Given linear thermal expansion coefficient of Cu is 17 x 10⁻⁶ / °C)

0.17 mm
1.7 mm
0.17 cm
1.7 cm
This question was previously asked in
UPSC Geoscientist – 2021
The change in length of the copper rod will be 1.7 mm.
The change in length due to thermal expansion is given by the formula ΔL = L₀ * α * ΔT.
Given: L₀ = 1 m = 1000 mm, α = 17 x 10⁻⁶ / °C, ΔT = 100 °C.
ΔL = 1000 mm * (17 x 10⁻⁶ / °C) * 100 °C
ΔL = 1000 * 17 * 10⁻⁶ * 100 mm
ΔL = 1700000 x 10⁻⁶ mm
ΔL = 1.7 mm.
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