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Question

The adjacent graph shows the extension (Δl) of a wire fo length I m suspended from the top of a roof at one end and load w connected to the other end. If the cross-sectional area of the wire is 106m2, calculate from the graph Young's modulus of the material of the wire.



A
2×1011N/m2
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B
2×1011N/m2
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C
3×1012N/m2
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D
2×1013N/m2
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Solution

The correct option is C. 2×1011N/m2
Given:

Length, L=1m

Area of crossection, A=106m2

From above graph at load of 20 N the extention is ΔL=1×104m2

We know that, Y=FlAΔl

putting values in above equation

Y=20×1106×1×104=2×1011 N/m2.


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