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
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(d) $\frac{{{Y_A}}}{{{Y_B}}} = \frac{{\tan {\theta _A}}}{{\tan {\theta _B}}} = \frac{{\tan 60}}{{\tan 30}} = \frac{{\sqrt 3 }}{{1/\sqrt 3 }} = 3 \Rightarrow {Y_A} = 3{Y_B}$
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