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Q.

The following four wires made of the same material. Which of these will have the least elongation when the same tension is applied?

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a

l=50   cm and diameter 0.5 mm

b

l=100  cm and diameter1.0 mm

c

l=200 cm and diameter 2.0 mm

d

l=300  cm and diameter3.0 mm

answer is D.

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Detailed Solution

e=FlAY=Flπr2Y ⇒eαlr2e∝500.252∝500.0625∝800 e∝100122∝400e∝20012∝200e∝3001.52∝133.3
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