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Elastic Limit :: Discussion

2.	The following wires are made of the same material. Which of these will have the largest extension, when the same tension is applied?
	A.	Length = 50cm, diameter = 0.5mm
	B.	Length = 100cm, diameter = 1mm
	C.	Length = 200cm, diameter = 2mm
	D.	Length = 300cm, diameter = 3mm

	Answer: Option A


	Explanation:
	âˆ†l=F/A l/Y=4F/(πD²) l/Y In Length = 50cm, diameter = 0.5mm, l/D² = 50/0.05² = 2×10⁴ cm^-1 In Length = 100cm, diameter = 1mm, l/D² = 100/0.1² = 10⁴ cm^-1 In Length = 200cm, diameter = 2mm, l/D² = 200/0.2² = 5×10³ cm^-1 In Length = 300cm, diameter = 3mm, l/D² = 300/0.3² = 3.3×10³ cm^-1 Hence âˆ†l is maximum in Length = 50cm, diameter = 0.5mm.



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Published by:Michael Daani

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