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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) N-m^(-2)`

B

`2 xx 10^(-11) N-m^(-2)`

C

`3 xx 10^(12)N-m^(-2)`

D

`2 xx 10^(-12) N-m^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y = (MgL)/(A (Delta L)) = (WL)/(A (Delta l)) = (W)/(Delta l) ((L)/(A))`
`:.` The graph of `Delta L` against load (W) is a straight line
`:. (Delta L)/(W)` is constant
`:. (W)/(Delta L) = (20)/(10^(-4))`
`:. Y = (20)/(10^(-4)) xx (1)/(10^(-6)) = 20 xx 10^(10) = 2 xx 10^(11) N//m^(2)`
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