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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Mechanical Properties of Solids

  • question_answer
    A force of \[6\times {{10}^{6}}\text{ }N{{m}^{-2}}\]is required for breaking a material. Then density p of the material is\[3\times {{10}^{3}}kg\,{{m}^{-3}}\]. If the wire is to break under its own weight, the length of the wire made of that material should be (\[take\,g=10\,m{{s}^{-2}}\])

    A) 20m

    B) 200m

    C) 100m

    D) 2000m

    Correct Answer: B

    Solution :

    [b] Breaking stress \[\frac{Force}{area}\] The breaking force will be its own weight \[F=mg=V\rho g=area\times \ell \rho g\] Breaking stress \[=6\times {{10}^{6}}=\frac{area\times \ell \times \rho g}{area}\] or   \[\ell =\frac{6\times {{10}^{6}}}{3\times {{10}^{3}}\times 10}=200m\]


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