GATE (TF) Textile 1992 Question Paper Solution | GATE/1992/TF/43

Question 43 (Textile Engineering & Fibre Science)

Which of the following relationship(s) is/are correct ?
Where
$E_y \ = Yarn \ modulus$
$E_f \ = Fibre \ modulus$
$\alpha = Helix \ angle \ at \ yarn \ surface$
$e_y = Yarn \ extension$
$e_f = Fibre \ extension$
$\theta = Helix \ angle \ of \ fibre$

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(A)	$e_f = e_y cos^2 \theta$
(B)	$e_f=\frac{e_y}{cos^2 \theta}$
(C)	$E_y=E_f cos^2 \alpha$
(D)	$E_y = E_f cos^2 \alpha = E_f$