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Show that stress required to double the ...

Show that stress required to double the length of wire (or) to produce 100% longitudinal strain is numerically equal to Young's modulus.

Text Solution

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`l_(1)=l, l_(2)=2l`
`Deltal=2l-l=l, Y=(((F)/(A)))/(((Deltal)/(l)))`
But as `(Deltal)/(l)=1`, Hence `(F)/(A)=Y`
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