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A copper wire (Y=10^(11)" Nm"^(-2)) of l...

A copper wire `(Y=10^(11)" Nm"^(-2))` of length 8 m and steel wire `(Y=2xx10^(11)" Nm"^(-2))` of length 4 m and each of cross - sectional area `0.5" cm"^(2)` are fastened end to end and stretched with a tension of 500 N. Match the given columns and select the correct option from the codes given below.

A

i-r,ii-p,iii-q

B

i-p,ii-q,iii-r

C

i-q,ii-r,iii-s

D

i-p,ii-s,iii-p

Text Solution

Verified by Experts

The correct Answer is:
A
`Deltal_("copper")=(Fl)/(AY)=(500xx8)/(0.5xx10^(-4)xx10^(11))=0.8" mm"`
`Deltal_("steel")=(Fl)/(AY)=(500xx4)/(0.5xx10^(-4)xx2xx10^(11))=0.2" mm"`
`(Deltal)_("net")=Deltal_("copper")+Deltal_("steel")=0.8+0.2=1.0" mm"`
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