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 modulii of the materials, then:

A
YB=2YA
B
YA=YB
C
YB=3YA
D
YA=3YB

Solution

## The correct option is D $$Y_A = 3Y_B$$$$\dfrac{Stress}{Strain} =$$ Y = slope of graph$$\therefore \dfrac{Y_A}{Y_B} = \dfrac{tan 60}{tan 30} = 3 \therefore Y_A = 3 Y_B$$Physics

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