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KVPY Sample Paper KVPY Stream-SX Model Paper-12

  • 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?

    A) \[5.2\times {{10}^{6}}\,N{{m}^{-\,2}}\]

    B) \[6.2\times {{10}^{6}}\,N{{m}^{-\,2}}\]

    C) \[4.8\times {{10}^{6}}N{{m}^{-\,2}}\]

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

    Correct Answer: D

    Solution :

    Stress \[=\frac{Mg}{\pi {{r}^{2}}}=\frac{4(3.1\pi )}{\pi 4\times {{10}^{-6}}}\] \[=3.1\times {{10}^{6}}\frac{N}{{{m}^{2}}}.\]


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