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The adjacent graph shows the extension D...

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

A

` 2 xx 10^(11) Nm^(-2)`

B

`2 xx 10 ^(-11) Nm^(-2)`

C

`3xx 10^(-12)Nm^(2)`

D

`2 xx 10 ^(-13) Nm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `(Deltal-w)` graph is a straight line, where
`(w)/(Deltal)=((80-20))/((4-1)xx10^(-4))=2xx10^(5)Nm^(-2)`
Moreover , `L=1m` and `A=10^(-6)m^(2)`
Hence, `Y=(FL)/(ADeltal)=(wL)/(ADeltal)=(2xx10^(5)xx1)/(10^(-6))=2xx10^(11)Nm^(-2)`
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