What is the fractional length change ΔL/L0 for the given thermal expansion values, ΔL = 0.00036 m, L0 = 1.000 m, ΔT = 30°C, α = 1.2 × 10^-5 /°C?

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Multiple Choice

What is the fractional length change ΔL/L0 for the given thermal expansion values, ΔL = 0.00036 m, L0 = 1.000 m, ΔT = 30°C, α = 1.2 × 10^-5 /°C?

Explanation:
The fractional length change is given by ΔL/L0 ≈ α ΔT for small expansions. Here α = 1.2 × 10^-5 /°C and ΔT = 30°C, so ΔL/L0 = (1.2 × 10^-5)(30) = 3.6 × 10^-4. This matches the direct ratio of the given lengths: ΔL/L0 = 0.00036 / 1.000 ≈ 0.00036 = 3.6 × 10^-4. Therefore the fractional length change is 3.6 × 10^-4.

The fractional length change is given by ΔL/L0 ≈ α ΔT for small expansions. Here α = 1.2 × 10^-5 /°C and ΔT = 30°C, so ΔL/L0 = (1.2 × 10^-5)(30) = 3.6 × 10^-4. This matches the direct ratio of the given lengths: ΔL/L0 = 0.00036 / 1.000 ≈ 0.00036 = 3.6 × 10^-4. Therefore the fractional length change is 3.6 × 10^-4.

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