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Question

The adjacent graph shows the extension (l) of a wire of length 1 m suspended from the top of a roof at one end and with load 'W' connected to the other end. If the cross-sectional area of the wire is 106m2, calculate the Young modulus of the material of the wire:
596367.jpg

A
2×1011
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B
2×1010
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C
2×1011
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D
2×1010
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Solution

The correct option is C 2×1011
From the graph if we choose a point for which W=40N and correspondingly L=2×104m
Also given,
A=106m2
l=1m
Youngs modulus,Y=FAll
putting values we get,
Y=F×lA×l
=40×1106×2×104
=2×1011N/m2

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