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Q.

The adjacent graph shows the extension (Δl) 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 10-6 m2, calculate the Young's modulus of the material of the wire.

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a

2×1011N/m2

b

2×10−11N/m2

c

3×10−12N/m2

d

2×10−13N/m2

answer is A.

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Detailed Solution

From the graph, l=10−4m,F=20NA=10−6m2,L=1m∴Y=FLAl=20×110−6×10−4=20×1010=2×1011N/m2
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