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Question

Copper of fixed volume V, is drawn into a wire of length L. When this wire is subjected to a constant force F, the extension produced in the wire is ΔL. Which of the following graphs will give a straight line?

A
ΔL vs. 1L
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B
ΔL vs. L2
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C
ΔL vs. 1L2
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D
ΔL vs. L
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Solution

The correct option is B ΔL vs. L2
As we know,
Young's modulus (Y)=StressStrain=FAΔLL=FLAΔL
i.e ΔL=FLAY

Here,
V=A×L or A=VL
Therefore, ΔL=FL2VY
V,F and Y are constant
So, ΔLL2

Hence graph of ΔL versus L2 will give a straight line.

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