Question 47 (Textile Engineering & Fibre Science)
In a flat yarn, the number of filaments in the yarn cross section is 271. The yarn is divide into 5 segment of equal radial increments which are numbered as 1, 2, 3, 4 and 5, from yarn core to surface respectively. The approximately number of fibres in the 4th segment is
(A) | 50 |
(B) | 80 |
(C) | 90 |
(D) | 110 |
[Show Answer]
Option B is correct.
Total number of filament in the yarn cross section=271
Let us assume,
The radius of 5th segment=5x
Then, area of 5th segment will be=
Area up to 5th segment=
Now, Area of 4 the segment=Area up to 4 th segment-Area up to 3 rd segment.
Area of 4 the segment=
Area of 4 the segment=
Area of 4 the segment=
By unitary rule-
Up to 5th segment area has………………………………………………=271 total no. of filament
Area has……………………………….=271 filament
4th segment area( filament
Total number of filaments in 4 th segment=75.88
Total number of filaments in 4 th segment(Aprroximately)=80 (Ans)