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  • The stress versus strain graphs for wires of two materials  and <img alt="B" src="https://entrancecorner.oncodecogs.com/g

The stress versus strain graphs for wires of two materials A and B are shown in figure. If Y_A and Y_B are the young's modulii of the material then

Option: 1

y_B=2 y_A


Option: 2

y_A=y_B


Option: 3

y_B=3 y_A


Option: 4

y_A=3 y_B


Answers (1)

best_answer

Use, y_A=\tan \theta_A, y_B=\tan \theta_B

\begin{aligned} & \frac{y_A}{y_B}=\frac{\tan \theta_A}{\tan \theta_B}=\frac{\tan 60^{\circ}}{\tan 30^{\circ}} \\ & \frac{y_A}{y_B}=\frac{\sqrt{3}}{1 / \sqrt{3}}=3 \end{aligned}

y_A=3 y_B

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