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Calculate the maximum length of a steel wire that can be suspended without breaking under its own weight, if its breaking stress = 4.0 x 108 Nm–2, density = 7.9 × 103 kg m–3 and g = 9.80 ms–2.

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The weight of the wire W = Alρg, where, A is area of cross section of the wire, l is the maximum length and ρ is the density of the wire. Therefore, the breaking stress developed in the wire due to its own weight W/A =  ρlg. We are told that breaking stress is 4.0 x 108 Nm–2. Hence

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