GATE (TF) Textile 2021 Question Paper Solution | GATE/2021/TF/22

Question 22 (Textile Technology & Fibre Science)

If the ratio of the linear densities (denier) of two circular fibers is 3, the corresponding ratio of their diameters, (rounded off to two decimal places), is ___1.70 to 1.75___.

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d=4.44*10-3\sqrt{tex(T)/fibre density(\rho ))} cm
As given,ratio of linear densities of two circular fibres is 3 i.e. T1/T2=3
By formula dia of fibre is directly proportions to the square root of fibre linear density,
i.e. d\proptoT
i.e d1/d2=\sqrt{T1/T2}
so, d1/d2=\sqrt{3},
Then, d1/d2=1.73 (Answer)

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