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Two wires of different material have sam...

Two wires of different material have same Lengths and areas of cross-section. What is the ratio of their increase in length when forces applied are the same ?
`(Y_(1)=0.90xx10^(11)Nm^(-2),Y_(2)=3.60xx10^(11)Nm^(-2).)`

Text Solution

Verified by Experts

Lengths are same`rArrl_(1)=l_(2),`
Area of cross sections are same, `A_(1)=A_(2)`
`Y_(1)=0.9xx10^(11)N//m^(2)`
`Y_(2)=3.60xx10^(11)N//m^(2)`
Elongation,`e=(Fl)/(AY)`
`therefore(e_(1))/(e_(2))=(F_(1)l_(1))/(A_(1)Y_(1))*(A_(2)Y_(2))/(F_(2)l_(2))`
`(becauseF,l"and A are same")`
`therefore(e_(1))/(e_(2))=(Y_(2))/(Y_(1))`
`therefore(e_(1))/(e_(2))=(3.60xx10^(11))/(0.9xx10^(11))=(4)/(1)"or"e_(1):e_(2)=4:1`
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