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 BΔL 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,FandY are constant So, ΔL∝L2
Hence graph of ΔL versus L2 will give a straight line.