Mechanical Properties of Solids: Young's Modulus MCQ

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Young's ModulusHardQuestion 6316

Question

Two wires (same material, same load). Wire 2 has twice the length and twice the radius. Ratio extension₁/extension₂:

Since $ΔL=FL/(AY)$ and $A∝r^2$ , wire 2 has length $2L$ and area $4A$ . Therefore $ΔL_2=F(2L)/(4AY)=ΔL_1/2$ , so $ΔL_1/ΔL_2=<strong>2</strong>$ .