If \( \sigma \) is the breaking stress of a material of density \( \rho \), then the length of t...

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If \( \sigma \) is the breaking stress of a material of density \( \rho \), then the length of the wire of that material that can hang freely without breaking is
(A) \( \frac{\sigma}{\rho g} \)
(B) \( \frac{\sigma}{2 \rho g} \)
(C) \( \frac{2 \sigma}{\rho g} \)
(D) \( \frac{\rho}{2 \sigma g} \)
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