A circular hole in an copper plate is 2.925 cm in diameter at 20.0 °C. What is the diameter of the hole if the temperature of the plate is raised to 120.0 °C? The coefficient of linear expansion of copper is 17 × 10^-⁶/C°. A)2.925 cm B)2.929 cm C)2.933 cm D)2.957 cm E)2.988 cm

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Quizplus · Accepted Answer

The change in diameter due to thermal expansion can be calculated using the formula ΔD = D₀αΔT, where D₀ is the initial diameter, α is the coefficient of linear expansion, and ΔT is the change in temperature. ΔD = 2.925 cm * 17 × 10⁻⁶/C° * (120.0°C - 20.0°C) = 0.004965 cm. The new diameter is 2.925 cm + 0.004965 cm ≈ 2.929 cm.

A Circular Hole in an Copper Plate Is 2