GATE (TF) Textile 2020 Question Paper Solution | GATE/2020/TF/50

Question 50 (Textile Engineering & Fibre Science)

A cotton fibre has degree of cell wall thickening (\theta) of 0.9 and perimeter of 40 \mu m. The actual cross-sectional area of the wall (\mu m^{2}) of the fibre (rounded off to 1 decimal place) is __112.0 to 117.0__.

[Show Answer]

Write Here


Degree of cell wall thickening ((\theta))=0.9

Perimeter(P)=40 \mu m.

A’=\frac{P^2}{4\pi }



Where, A is actual cross sectional area , A’ is standard cross sectional area and P is the perimeter

(\theta)=\frac{4\pi A}{P^2}

0.9 = \frac{4 \times 3.14 \times A}{40^2}

A = \frac{0.9 \times 40 \times 40}{4 \times 3.14}

(Area)A=114.65 (\mu m^{2}) (Answer)

Frequently Asked Questions | FAQs
GATE Textile Engineering and Fibre Science (TF) Question Papers | GATE Textile Question Answer | GATE Textile Solved Question Papers | GATE Textile Papers | GATE Textile Answer Key