JEE Main & Advanced Sample Paper JEE Main Sample Paper-11

  • question_answer
    The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If \[{{\text{Y}}_{\text{A}}}\]and\[{{\text{Y}}_{\text{B}}}\] are the Young's modulii of the materials, then

    A)  \[{{\text{Y}}_{\text{B}}}\text{=}\,\text{2}{{\text{Y}}_{\text{A}}}\]                         

    B)  \[{{\text{Y}}_{\text{A}}}\text{=}{{\text{Y}}_{\text{B}}}\]

    C)  \[{{\text{Y}}_{\text{B}}}\text{=3}{{\text{Y}}_{\text{A}}}\]                          

    D)  \[{{\text{Y}}_{\text{A}}}\text{=3}{{\text{Y}}_{\text{B}}}\]

    Correct Answer: D

    Solution :

     \[\frac{\text{Stress}}{\text{Strain}}\text{=Y=}\] slope of graph \[\therefore \]\[\frac{{{\text{Y}}_{\text{A}}}}{{{\text{Y}}_{\text{B}}}}\text{=}\frac{\tan {{60}^{o}}}{\tan {{30}^{o}}}=3\]  \[\therefore \]\[{{\text{Y}}_{\text{A}}}\text{=3}{{\text{Y}}_{\text{B}}}\]


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