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An iron wire of length 4m and diameter 2mm is loaded with a weight of 8kg. If the Young's modulus 'Y' for iron is 2×1011Nm–2 then the increase in length of the wire is (g = 10 ms–2)

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a

0.2mm

b

0.5mm

c

2 mm

d

1 mm

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detailed solution

Correct option is B

=4m;r=22=1×10-3 m
M=8kg;Y=2×1011 N/m2

e=Mgℓπr2Y=8×10×43.14×10-6×2×1011

e=81.57×10-4 m0.5 mm

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