JEE Main & Advanced Physics Elasticity Question Bank Graphical Questions

  • question_answer
    The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If \[{{Y}_{A}}\] and \[{{Y}_{B}}\] are the Young ?s modulii of the materials, then            [Kerala (Engg.) 2001]

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

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

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

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

    Correct Answer: D

    Solution :

                    \[\frac{{{Y}_{A}}}{{{Y}_{B}}}=\frac{\tan {{\theta }_{A}}}{\tan {{\theta }_{B}}}=\frac{\tan 60}{\tan 30}=\frac{\sqrt{3}}{1/\sqrt{3}}=3\Rightarrow {{Y}_{A}}=3{{Y}_{B}}\]


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