GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/69

Question 69 (Textile Engineering & Fibre Science)

Eight ends of slivers, each having a CV of 6%, are doubled and drawn to produce resultant sliver of same hank. If the drawframe introduces 2.12% CV, the CV% of resultant sliver would be approximately

(A)	3
(B)	6
(C)	9
(D)	12

[Show Answer]

Option A is correct.

Given in the question-

No. ends of slivers=8

Each having CV%=6 are doubled

$CV_in=\frac{CV}{\sqrt 8}$

$CV_in=\frac{6}{\sqrt 8}$

$CV_in=\frac{6}{2.83}$

$CV_in=2.12$

Resultant sliver of same hank

CV additional=2.12%

CVresultant=?

$CV_Res=\sqrt(CV_in^2+CV_add^2)$

$CV_Res=\sqrt(2.12^2+2.12^2)$

$CV_Res=\sqrt(4.4944+4.4944)$

$CV_Res=\sqrt(8.9888)$

$CV_Res=2.998$

$CV_(Resultant)=3$ (Ans)

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