The bulk modulus of copper is 1.4×10¹¹ Pa and its coefficient of linear expansion is 1.7×10⁻⁵ °C⁻¹. What hydrostatic pressure is required to prevent a copper block from expanding when its temperature rises from 0°C to 30°C?
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Question

The bulk modulus of copper is 1.4×10¹¹ Pa and its coefficient of linear expansion is 1.7×10⁻⁵ °C⁻¹. What hydrostatic pressure is required to prevent a copper block from expanding when its temperature rises from 0°C to 30°C?

Options

G1 Physics · Accepted Answer

Use ΔL=αLΔT, ΔA≈2αAΔT and ΔV≈3αVΔT (or the given cubical coefficient γ). For constrained bodies include the elastic stress needed to cancel free expansion. Evaluating the given data/statements gives B: 7.1 ×10⁷ Pa. Therefore the correct answer is B.