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Question: The stress versus strain graphs for wires of two materials A and B as shown is the figure. If Y<sub>...

The stress versus strain graphs for wires of two materials A and B as shown is the figure. If YA and YB are the young’s modulus of the materials, then-

A

YB = 2YA

B

YA = YB

C

YB = 3YA

D

YA = 3YB

Answer

YA = 3YB

Explanation

Solution

YAYB\frac{Y_{A}}{Y_{B}} = tan600tan300\frac{\tan 60^{0}}{\tan 30^{0}} = 313\frac{\sqrt{3}}{\frac{1}{\sqrt{3}}} = 3

so YA = 3YB