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

  • question_answer
    A metallic rod breaks when strain produced is 0.2%. The Young's modulus of the material of the rod is\[7\times {{10}^{9}}N/{{m}^{2}}\]. What should be its area of cross-section to support a load of 104 N?

    A) \[7.1\times {{10}^{-8}}{{m}^{2}}\]

    B) \[7.1\times {{10}^{-6}}{{m}^{2}}\]

    C) \[7.1\times {{10}^{-4}}{{m}^{2}}\]

    D) \[7.1\times {{10}^{-2}}{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] Maximum possible strain \[=0.2/100\] \[\therefore \,\,\,\,A=\frac{F}{Y\times strain}=\frac{{{10}^{4}}\times 100}{(7\times {{10}^{9}})\times 0.2}\] \[=7.1\times {{10}^{-4}}{{m}^{2}}\]


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