**Question 52 (Textile Technology & Fibre Science)**

The theoretical limit coefficient of variation (Vr in %) of the weight per unit length of cotton sliver is , where N is the average number of fibres present in the crosssection of the sliver. To derive this expression, the coefficient of variation (in %) of the fibre weight per unit length, accurate to two decimal places, is considered as __**35.00 to 36.00**__.

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,

Then,

where N is the average number of fibres present in the cross section of the sliver.

CV of fibre weight per unit length()=? **Formula**:

Where,

=coefficient of variation of weight per unit length of cotton sliver

=coefficient of variation of weight per unit length of cotton fibre

N=Avg number of fibres

**(Answer)**