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

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ℓ=50cm and diameter 0.5mm

ℓ=100cm and diameter 1.0mm

ℓ=200cm and diameter 2.0mm

ℓ=300cm and diameter 3.0mm

answer is A.

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Detailed Solution

e∝1r2 ℓ should be more, r should be , Less to have more elongatione∝lr2∝500.252∝800⇒e∝lr2∝1000.52∝400⇒e∝lr2∝20012∝200⇒e∝lr2∝3001.52∝133.3

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