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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_(B)=2Y_(A)`

B

`Y_(A)=Y_(B)`

C

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

D

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

Text Solution

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The correct Answer is:
D

(d) `(Y_(A))/(Y_(B))=("tan"theta_(A))/("tan"theta_(B))=("tan"60^(@))/("tan"30^(@))=(sqrt(3))/(1//sqrt(3))=3 implies Y_(A)=3Y_(B)`
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