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Q.

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=10ms−2)

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a

0.2mm

b

0.5mm

c

2 mm

d

1 mm

answer is B.

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Detailed Solution

e=mgℓYπr2=8×10×42×1011×π10-32=3202π×105=5×10-4m=0.5mm
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