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Question

Copper of fixed volume 'v; is drawn into wire of length 'l. When this wore is subjected to a constant force 'F', the extension produced in the wire is 'Δl. Which of the following graphs is a straight line?

A
Δl versus 1l
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B
Δl versus l2
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C
Δl versus 1l2
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D
Δl versus l
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Solution

The correct option is B Δl versus l2
youngs modulusY=stressstrain=FAll=FllA
given F is constant and Y is constant
since V=Al is constant,Aα1l
lαAlαl2
lαl2
so the graph between l andl2is a straight line

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