**Question 18 (Textile Technology & Fibre Science)**

Number of fibres, each of 40 mm length and 0.16 tex fineness, in a tuft of 24 mg mass is **_3745 to 3755**_.

**[Show Answer]**

write here

Formula :

Number of fibres=Weight of tuft /Weight of fibres

=24 mg/Weight of fibres

Given, fibre length=40mm , fineness of fibre=0.16 tex**Tex is defined as the mass in gram of 1000 meter length**, Tex=weight in gm/1000 meter length

Given , tex=0.16 i.e. mass of 1000 meter length is= 0.16 gram

So, Mass of 1 meter length is= 0.16/1000

Then,mass of 40mm(40*10^{-3} meter) is=0.16*40*10^{-3}/1000 gram

Now, mass or weight of fibres=6.4*10^{-6 }gm(gram) =6.4*10^{-3} mg(mili gram)

From above,

Number of fibres=Weight of tuft /Weight of fibres

=24 mg/6.4*10^{-3} mg

=**3750** (Answer)