The stress versus strain graphs for wires of two materials $A$ and $B$ are as shown in the figure, I

Question

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 modulus of the materials, then\

Professor PC Thomas Classes · Answer

$Y=\frac{	ext { Stress }}{	ext { Strain }}=$ Slope of stress-strain curve\ $=	an 	heta$\ $	herefore \frac{\mathrm{Y}_{\mathrm{A}}}{\mathrm{Y}_{\mathrm{B}}}=\frac{	an 60^{\circ}}{	an 30^{\circ}}=\frac{\sqrt{3}}{1 / \sqrt{3}}=3$\ $	herefore \mathrm{Y}_{\mathrm{A}}=3 \mathrm{Y}_{\mathrm{B}}$