# GATE (TF) Textile 2010 Question Paper Solution | GATE/2010/TF/37

###### Question 37 (Textile Engineering & Fibre Science)

The effective length of cotton with 21 mm lower quartile length and 25% dispersion percentage is

Given in the question-

Lower quartile length=21 mm

Dispersion %=25%

Effective length of cotton(L)=?

By formula-

Dispersion %=Inter quartile length/Effective length

In baer sorter graph-

Effective length=Inter quartile length+Lower quartile length

L=Inter quartile length+21

Inter quartile length=(L-21)

Dispersion %=Inter quartile length/Effective length

25%=(L-21)/L

0.25L=L-21

0.75L=21

L=21/0.75

L=28 mm

i.e.,
Effective length=28 mm (Ans)

### What is effective length in Baer sorter?

In the context of a Baer sorter, the effective length refers to the distance between the starting point of the sorting process and the last accepted defect in the fabric.
The Baer sorter is a machine that is used in the textile industry to detect and remove defects in fabric, such as knots, holes, and stains. As the fabric passes through the machine, it is inspected by a series of cameras or sensors that detect any defects in the material. The fabric is then cut or marked at the location of the defect and removed from the production line.
The effective length is an important parameter in the Baer sorter, as it determines the amount of fabric that is removed from the production line due to defects. A shorter effective length means that more of the fabric is rejected due to defects, which can result in higher production costs and lower yields. Conversely, a longer effective length means that fewer defects are removed from the fabric, which can result in lower production costs and higher yields.
The effective length is typically set by the operator of the Baer sorter and can be adjusted based on the specific requirements of the production process. It is an important factor to consider when using the Baer sorter to ensure that the right balance is struck between product quality and production efficiency.

### What is upper quartile length in textile?

Upper quartile length is a statistical parameter used in the textile industry to measure the length of the longest fibers in a sample of textile material. It is also known as the 75th percentile length or UQL.

To determine the upper quartile length, a representative sample of the textile material is taken and the length of each individual fiber is measured. The fibers are then sorted in ascending order of length, and the upper quartile length is determined by finding the length at which 75% of the fibers are shorter than this length and 25% of the fibers are longer.

The upper quartile length is an important parameter in the textile industry as it provides information about the quality and performance of the fibers in a given material. Longer fibers are generally considered to be of higher quality as they have a greater strength and are less likely to break during processing and use. The upper quartile length is therefore used as an indicator of the quality of the fibers and can be used to compare different types of textile materials.

The upper quartile length is typically measured using a fiber length analyzer, which is a specialized instrument that is designed to measure the length of individual fibers in a sample of textile material. The results of the analysis can be used to inform decisions about the processing and use of the material, such as whether it is suitable for spinning into high-quality yarns or whether it should be used for lower-grade applications.