Yarn Count Systems Matching Solution

Understanding Yarn Count Systems

Yarn count systems define the fineness or thickness of a yarn. Different systems use different units of mass and length. Matching these systems to their correct units is crucial for understanding yarn specifications in textile manufacturing.

Matching Yarn Numbering Systems with Units

The question requires matching the yarn numbering systems in List - I with their corresponding units in List - II.

• Denier (Den): Commonly used for synthetic fibers and silk. It is defined as the weight in grams of 9,000 meters of the yarn. Formula: $Denier = \frac{Weight (g)}{Length (m)} \times 9000$.
• Tex (Tex): A modern metric system. It is defined as the weight in grams of 1,000 meters of the yarn. Formula: $Tex = \frac{Weight (g)}{Length (m)} \times 1000$.
• Milli Tex (mtex): This is one-thousandth of a Tex ($1 \text{ mtex} = 0.001 \text{ Tex}$). It represents the weight in milligrams (mg) of 1,000 meters of yarn. ($1 \text{ mg} = 0.001 \text{ g}$).
• Deci Tex (dtex): This is one-tenth of a Tex ($1 \text{ dtex} = 0.1 \text{ Tex}$). It represents the weight in grams of 10,000 meters of yarn. ($1 \text{ dtex} = \frac{0.1 \text{ g}}{1000 \text{ m}} = \frac{1 \text{ g}}{10000 \text{ m}}$).

Correct Matches

Based on the definitions:

• (A) Denier corresponds to (II) Weight in grams per 9000 meters.
• (B) Tex corresponds to (III) Weight in grams per 1000 meters.
• (C) Milli Tex (mtex) corresponds to (IV) Weight in milligrams per 1000 meters.
• (D) Deci Tex (dtex) corresponds to (I) Weight in grams per 10,000 meters.

Therefore, the correct option is (A)-(II), (B)-(III), (C)-(IV), (D)-(I).