Q.
Copper of fixed volume V is drawn into wire of length ι. When this wire is subjected to a constant force F, the extension produced in the wire is ∆ι. Which of the following graphs is a straight line?
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a
Δl versus 1/l
b
Δl versus l2
c
Δl versus 1/l2
d
Δl versus l
answer is B.
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Detailed Solution
As V=Al . . . .(i)where A is the area of cross - section of the wire. Young's modulus, Y=(F/A)(Δl/l)=FlAΔlΔl=FlYA=Fl2YV (Using (i)Δl∝l2 Hence, the graph between Δl and l2 is a straight line.
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