$\begin{matrix} The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If Y_{A} and Y_{B} are the Young's moduli of the materials, then \end{matrix}$

Y_{B} = 2 Y_{A}

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Y_{A} = Y_{B}

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Y_{B} = 3 Y_{A}

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Y_{A} = 3 Y_{B}

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Solution

The correct option is D $Y_{A} = 3 Y_{B}$
Slope of stress vs strain curve will give Young's moduli of material,

Slope of A, $t a n 60^{o} = \sqrt{3} = 1.73$

Slope of B, $t a n 30^{o} = \frac{1}{\sqrt{3}} = 0.57$

So, $Y_{A} = 3 Y_{B}$

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