The adjacent graph shows the estension `(Deltal)` of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross-sectional area of the wire is `10^-6m^2`, calculate the Young's modulus of the material of the wire.

Options

A. `2xx10^(11)(N)/(m^2)`
B. `2xx10^(-11)(N)/(m^2)`
C. `2xx10^(-12)(N)/(m^2)`
D. `2xx10^(-13)(N)/(m^2)`

Answer

A

Explanation

From the graph `l=10^-4m`,`F=20N`,
`A=10^-6m^2`,`L=1m`
`Y=(FL)/(Al)=(20xx1)/(10^-6xx10^-4)=20xx10^(10)=2xx10^(11)(N)/(m^2)`