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# The stress versus strain graph for wires of two material A and B are as shown. If $Y_A$ and $Y_B$ are the Young's modulus of materials then

$(a)\; Y_B=2 Y_A \\ (b)\; Y_A= Y_B \\ (c)\; Y_B=3 Y_A \\ (d)\; Y_A=3 Y_B$

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A)
Slope of stress strain curve gives the young's modulus
$Y_A= \tan 60=\sqrt 3$
$Y_B=\tan 30=\large\frac{1}{\sqrt 3}$
$\large\frac{Y_A}{Y_B}$$=B$
$\therefore Y_A= 3 Y_B$