GATE (TF) Textile 2011 Question Paper Solution | GATE/2011/TF/07

20s, 30s, 40s and 50s Ne cotton yarns have the same twist per cm. The yarn having maximum fibre obliquity is

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As given in the question-

Counts-20s,30s,40s and 50s Ne cotton yarns

All have same twist per cm.

By the formula-

$tan\alpha=0.0112\times V_y^\frac{1}{2}\times TM$

and we know,

$TPI=TM\sqrt count$

$tan\alpha=0.0112\times V_y^\frac{1}{2}\times \frac{TPI}{\sqrt count}$

i.e,
$tan\alpha$ is inversaly proportional to the square root of count(Ne)

So,that
If number of count increases,means fibre obliquity decreases.

Hnece ,20s Ne count cotton fibre have maximum fibre obliquity. (Ans)