Two wires are made of the same material. Their radii are r and 2r. Both are tested under gradually increasing tensile load until they break. Which statement is correct?
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Question

Two wires are made of the same material. Their radii are r and 2r. Both are tested under gradually increasing tensile load until they break. Which statement is correct?

G1 Physics · Accepted Answer

Breaking stress is a material property, so both wires have the same breaking stress. Breaking force is F(breaking) = σ(breaking)A. Area of the first wire: A₁ = πr². Area of the second wire: A₂ = π(2r)² = 4πr² = 4A₁. Therefore, F₂(breaking) = 4F₁(breaking). Correct option: B.