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The stress versus strain graphs for wire...

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 younng's moduli of the materials, then

A

`Y_(A) = Y_(B)`

B

`Y_(B) = 2Y_(A)`

C

`Y_(A) = 2Y_(B)`

D

`Y_(A) = 3Y_(B)`

Text Solution

Verified by Experts

The correct Answer is:
D

`Y = ("Stress")/("strain") = "slope = tan" theta`
`:. (Y_(A))/(Y_(B)) = (tan 60^(@))/(tan 30^(@)) = (sqrt(3))/(1//sqrt(3)) = 3`
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