**Question 22 (Textile Technology & Fibre Science)**

If the ratio of the linear densities (denier) of two circular fibers is 3, the corresponding ratio of their diameters, (rounded off to two decimal places), is ___**1.70 to 1.75**_**__**.

**[Show Answer]**

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Formula:

d=4.44*10^{-3} cm

As given,ratio of linear densities of two circular fibres is 3 i.e. T_{1}/T_{2}=3

By formula dia of fibre is directly proportions to the square root of fibre linear density,

i.e. dT

i.e d_{1}/d_{2}=

so, d_{1}/d_{2}=,

Then, d_{1}/d_{2}=1.73 (Answer)