GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/66

Question 66 (Textile Engineering & Fibre Science)

A yarn specimen of 200 mm extends by 10% when loaded with 500 cN force. The length of the specimen after removal of load was found to be 202 mm. Percentage elastic recovery yarn is

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Option D is correct

Given in the question-

Length of yarn specimen(l1)=200 mm

Extended length of yarn specimen(l2)=200+200 x 10%
l2= 220 mm

Load(f)=500 cN

Length of specimen after removal of load(l3)=202 mm

Percentage elastic recovery of yarn=?

Extension in length(l22)=Extended length of yarn specimen(l2)-Length of yarn specimen(l1)
l22=20 mm

Recover length(l33)=Extended length of yarn specimen(l2)-Length of specimen after removal of load(l3)


l33=18 mm

Percentage elastic recovery of yarn=Recover length(l33) x 100/Extension in length(l22)

Percentage elastic recovery of yarn=18 x 100/20

Percentage elastic recovery of yarn=90 (Ans)

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