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

  • question_answer
    A steel wire and a copper wire of equal length and equal cross-sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of the stresses developed in the two wires and Y of steel\[=2\times {{10}^{11}}N/{{m}^{2}}\]. Y of copper\[=1.3\times {{10}^{11}}N/{{m}^{2}}\].

    A) 1

    B) 3     

    C) 5

    D) 7

    Correct Answer: A

    Solution :

    [a] Given\[{{l}_{steel}}={{l}_{copper\,}}\,and\,{{A}_{steel}}={{A}_{copper}}\] So, \[\frac{stress\,of\,steel}{stress\,of\,copper}=\frac{{{F}_{steel}}}{{{A}_{steel}}}\times \frac{{{A}_{copper}}}{{{V}_{copper}}}\] \[=\frac{{{F}_{steel}}}{{{F}_{copper}}}=1\]


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