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

Options

A. `Y_(B) = 2Y_(A)`
B. `Y_(A) = Y_(B)`
C. `Y_(B) - 3Y_(A)`
D. `Y_(A) = 3Y_(B)`

Answer

d

Explanation

`(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)`