GATE (TF) Textile 2003 Question Paper Solution | GATE/2003/TF/44

A yarn is produced by blending two fibres X and Y whose particulars are given below

The denier of fibre Y is (take density of fibre Y as 1.3 g/cm³)

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Option D is correct

Dia of the fibre Y=21 microns
$d=21 \times 10^-4$ cm

Denier= $\frac{\pi}{4} \times d^2 \times density \times 9000 \times 100$

Denier= $\frac{3.14}{4} \times (21 \times 10^-4)^2 \times 1.3 \times 9000 \times 100$

Denier of fibre Y=4.05 (Ans)