# GATE (TF) Textile 2022 Question Paper Solution | GATE/2022/TF/33

###### Question 33 (Textile Technology & Fibre Science)

A set of yarns is produced with same linear density. If these yarns follow helical model and their diameter is inversely proportional to twist (number of turns per unit length), then the yarns have the same

Option C is correct

By formula-

Where , =Surface twist angle

D=dia of yarn

T=twist per unit length

### What is linear density ?

Linear density, also known as linear mass density, is a measure of the mass per unit length of a material. It is expressed in units of mass per unit length, such as grams per meter or pounds per foot. Linear density is used to describe the uniformity of a material’s mass distribution along its length, and is particularly useful for materials such as fibers, wires, and filaments. It is an important property for materials that are used in applications where strength and flexibility are critical factors, such as in ropes, cables, and textiles.

### What is twist multiplier ?

Twist multiplier is a term used in textile manufacturing to refer to the amount of twist in a yarn or thread, usually expressed as a ratio or multiplication factor. The twist multiplier indicates how much the fibers are twisted together to form the yarn, and it affects the strength, durability, and other properties of the yarn. Higher twist multipliers generally result in stronger, stiffer yarns, while lower twist multipliers result in softer, more flexible yarns.

### What is packing density ?

Packing density is a term used to describe the degree to which a substance, such as a solid, liquid, or gas, fills a container or a given space. It is typically expressed as a ratio or percentage, indicating the amount of substance per unit of volume in the container or space. The packing density can affect the physical and chemical properties of the substance, such as its stability, reactivity, and behavior under various conditions.