# GATE (TF) Textile 2011 Question Paper Solution | GATE/2011/TF/49

###### Question 49 (Textile Engineering & Fibre Science)

Consider the following data for a synthetic fibre.
Density of amorphous region as 1.33 g/cm3, density of crystalline region as 1.45 g/cm3, density of fibre as 1.36 g/cm3 and diameter of the fibre as 14 micron.

Density of the above fibre increased by 2.2 % when drawn. The corresponding change (%) in crystallinity is approximately

Given the question-

Density of amorphous region()=1.33 g/cm3

Density of crystalline region()=1.45 g/cm3

Density of fibre()=1.36 g/cm3

Formula-

Crystallinity percentage=

Crystallinity percentage=

Crystallinity percentage=

Crystallinity percentage=

Crystallinity percentage=26.65

Again given in the question-

Density of fibre increased by 2.2%

The corresponding change in crystallinity %=?

Now by formula-

Now,

The corresponding change in crystallinity %=

The corresponding change in crystallinity %=

The corresponding change in crystallinity %=

The corresponding change in crystallinity %=95.67
=100 (Ans)