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In determine of youggn modulus of ealsti...

In determine of youggn modulus of ealsticity of wire, a force is applied and extension is recoreded. Initial length of wire `'1m'` . The curce between extension and stress is depicted then young modulus of wire will be:

A

`2xx10^(9) N//m^(2)`

B

`1xx10^(9) N//m^(2)`

C

`2xx10^(10) N//m^(2)`

D

`1xx10^(10) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(A) Delta L = (Fl)/(Ay)`
`(Delta L)/((F//A)) = (l)/(y)` = slop of curve
`(l)/(y) = ((4-2)xx10^(-3))/(4000xx10^(-3))`
Given `I = 1m rarr`
`I = 1m rarr y = (4000xx10^(3))/(2xx10^(-3)) = 2xx10^(9) N//m^(2)`
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