JEE Main & Advanced JEE Main Paper (Held on 08-4-2019 Morning)

  • question_answer
    A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that \[g=3.1\pi m{{s}^{-2}},\]what will be the tensile stress that would be developed in the wire? [JEE Main 8-4-2019 Morning]

    A) \[4.8\times {{10}^{6}}\text{ }N{{m}^{2}}\]       

    B) \[5.2\times {{10}^{6}}\text{ }N{{m}^{2}}\]

    C) \[6.2\times {{10}^{6}}\text{ }N{{m}^{2}}\]       

    D) \[3.1\times {{10}^{6}}\text{ }N{{m}^{2}}\]

    Correct Answer: D

    Solution :

    Tensile stresss in wire will be \[=\frac{\text{Tensile}\,\,\text{force}}{\text{Cross}\,\,\text{section}\,\,\text{Area}}\] \[=\frac{mg}{\pi {{R}^{2}}}=\frac{4\times 3.1\pi }{\pi \times 4\times {{10}^{-6}}}N{{m}^{-2}}=3.1\times {{10}^{6}}N{{m}^{-2}}\]


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