The adjacent graph shows the extension (∆I) of a wire of length 1m suspended from the top of a roof at one end with a load W connected to the other end. If the cross sectional area of the wire is 10-6m2, calculate the young's modulus of the material of the wire
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a
2×1011N/m2
b
2×10-11 N/m2
c
2×10-12N/m2
d
2×10-13N/m2
answer is A.
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Detailed Solution
From the graph, l = 10-4m, F = 20 N A = 10-6m2, L = 1 m∴ Y = FLAl = 20×110-6×10-4 = 20×1010 = 2×1011N/m2