Mechanical Properties of Solids

JEE Main level, single correct, medium

70 of 118

Question 70 of 118

A steel wire having a radius of 2.0mm2.0mm , carrying a load of 4kg,4kg, is hanging from a ceiling. Given that g=3.1πms−2,g=3.1\pi m{s}^{-2}, what will be the tensile stress that would be developed in the wire?

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Answer: (D) 3.1×106Nm−23.1\times {10}^{6}N{m}^{-2}

Stress =mgπr2=4×3.1×ππ×(2×10−3)2=\dfrac{mg}{\pi {r}^{2}}=\dfrac{4\times 3.1\times \pi }{\pi \times {\left(2\times {10}^{-3}\right)}^{2}}
=3.1×106N/m2=3.1\times {10}^{6}N/{m}^{2}

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