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A steel wire and a copper wire of equal ...

A steel wire and a copper wire of equal length and equal cross sectionasl area area joined end to end and the combination is subjected to as tension. Find the ratio of as. The stresses developed in the two wire and b. the strains developed. Y of steel `=2xx10^11Nm^-2`. Y o copper `=1.3xx10 11 Nm^-2`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Given that `L_(steel)=L_(Cu)`
and `A_(steel)=A(Cu)`
`a. (stress of Cu)/(Strees of Steel)=(F_(Cu)A_(Steel))/A_(Cu)F_(Steel))`
`F_(Cu)/F_(Steel)=1`
`[because F_(Cu)=F_(Steel)]`
b. Strain`=(/_\L_(Steel))/(/_\Lcu)`
`=(F_(Steel)L_(Steel)A_(cu)Y_(cu))/(A_(Steel)Y_(Steel)F_(cu)I_(cu))`
`[L_(cu)=L_(Steel):A_(cu)=A_(Steel)]`
`rarr Y_(cu)/Y_(Steel)=(1.3xx10^11)/(2xx10^11)`
`rarr /_\L_(Steel)/(/_\I_(cu)=13/20`
`rarr (/_\_(cu))/(/_\L_(Steel)=20/13`
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