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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 moduli of the material then:

Option: 1

Y_B=2Y_A


Option: 2

Y_A=Y_B


Option: 3

Y_B=3Y_A


Option: 4

Y_A=3Y_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 \\ & Y_A=3 Y_B \end{aligned}

Posted by

Kuldeep Maurya

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